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Mathematics Questions and Answers May 29, 2018

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Provide a concrete example of a function f , a domain D , and a set K , such that an element y K is an upper bound of f if y f ( x ) for each x D . Explain your answer.

a ) ( 3 x 2 - 4 x 3 4 ) d x
a ) ( 3 x 2 - 4 x 3 4 ) d x

Find the particular solution for the differential equation d y d x = 2 x 3 3 y at y ( 0 ) = 3 . Choose the correct answer below. A . y = 1 3 x 4 3 B . y = 3 x 3 3 C . y 2 = 3 x 3 9 D . y 2 = 1 3 x 4 9
Find the particular solution for the differential

The height of a ball S in feet at time x seconds is given by the equation 2 ( ) 1 6 1 2 8 8 0 S x x x = - + + where 0 8 x Find the instantaneous acceleration at x = 1

Find - 4 1 ( 7 x 4 + 2 x 5 ) d x
Find - 4 1 ( 7 x 4 + 2 x 5 ) d x

Find the following. ( 1 5 x 2 1 1 2 ) d x ( 1 5 x 2 1 1 2 ) d x = , ( Type an exact answer. )
Find the following. ( 1 5 x 2 1 1 2 ) d x ( 1 5 x

question 2 : f ( x ) = { x - 3 , x > 1 2 x - 4 , x 1 . Determine l i m x 1 f ( x ) o r show i t doesn't exist. Question 2 : Let f ( x ) = { x - 3 , x > 1 2 x - 4 , x 1 . Determine lim x 1 f ( x ) o r show i t doesn't exist. ( 5 p t s ) a
question 2 : f ( x ) = { x - 3 , x style=

Solve the initial - value problem. x 2 y ' + 2 x y = l n ( x ) , y ( 1 ) = 7
Solve the initial - value problem. x 2 y ' + 2 x

Evaluate the indefinite Integral. 2 x - 3 4 x - x 2 2 d x
Evaluate the indefinite Integral. 2 x - 3 4 x - x

f ( x ) = 1 + n = 1 1 * 3 * 5 c d o t s ( 2 n - 1 ) 2 * 4 * 6 c d o t s * ( 2 n ) x n olsun. | x | 1 i in 2 ( 1 - x ) f ' ( x ) ifadesi a a daki klardan hangisinde verilmi tir ? a ) f ( x ) - 1 b ) f ( x ) + 1 c ) x f ( x ) d ) ( 1 - x ) f ( x ) e ) f ( x )
f ( x ) = 1 + n = 1 1 * 3 * 5 c d o t s ( 2 n - 1

Consider the following. Parametric Equations x = 2 t , y = 4 t 3 Parameter t = 5 Find ( dy ) / ( dx ) and ( d ^ ( 2 ) y ) / ( dx ^ ( 2 ) ) Find the slope and concavity ( if possible ) at the given value of the parameter.

Use substitution to find the indefinite integral. 5 ( 5 x - 4 ) 6 d x 5 ( 5 x - 4 ) 6 d x =
Use substitution to find the indefinite integral.

verify the function y = csin ( 2 x ) is a solution

Let y = ( 4 x * * 2 ) + 6 x + 4 . If Ax = 0 . 1 at x = 1 , use linear approximation to estimate

s e c 3 ( x 2 ) t a n 3 ( x 2 d x )
s e c 3 ( x 2 ) t a n 3 ( x 2 d x )

QUESTION 4 Identify the conic section described by the following equation. 4 x 2 y 2 - 2 y - 3 = 0 parabola circle ellipse hyperbola
QUESTION 4 Identify the conic section described

Evaluate the limitlimx 7 ( | x 7 | 5 ( x 9 ) ) ( If the limit does not exist, enter . )

Determine the following indefinite integral. Chec ( 4 r 3 6 s e c 2 r ) d r ( 4 r 3 6 s e c 2 r ) d r = q ,
Determine the following indefinite integral. Chec

Evaluate the indefinite integral. 8 s i n 2 ( x ) c o s ( x ) d x = , + C
Evaluate the indefinite integral. 8 s i n 2 ( x )

The average rate of change of p ( x ) = x 2 + 2 x + 3 on the interval 1 t 4 is ( a ) 2 1 4 ( b ) 2 1 ( c ) 7 ( d ) 1 7

Use Laplace transform to solve the following initial - value problem ( 1 8 points ) . y ' ' - 6 y ' 9 y = 0 , y ( 0 ) = 0 , y ' ( 0 ) = 2 .
Use Laplace transform to solve the following

Find the partial fraction decomposition of: ( 1 0 points ) 7 x 2 x 2 2 x - 2 4
Find the partial fraction decomposition of: ( 1 0

f ( x + h ) - f ( x ) h , h 0 Find and simplify the difference quotient f ( x + h ) - f ( x ) h , h 0 for the given function. f ( x ) = 7 f ( x + h ) - f ( x ) h = , ( S i m p l i f y your answer. )
f ( x + h ) - f ( x ) h , h 0 Find and simplify

Evaluate the integral. 0 2 c o s ( t ) 1 + s i n 2 ( t ) 2 d t
Evaluate the integral. 0 2 c o s ( t ) 1 + s i n

[ 0 / 1 Points ] Evaluate the integral by making the given substitution. ( Remember the constant of integration. ) z z - 4 2 d z , u = z - 4
[ 0 / 1 Points ] Evaluate the integral by making

A bucket begins holding 2 5 kgs of sand. The backet is to be lified to the trep of a 3 0 meter tall bullding by a repe with derify 0 . 1 k g m . However, the bucket has a hole in il , and labls 0 . 2 kg of sund each metar ar in ufted. Find the work done linina the backet and rope to the top of the bollfing.
A bucket begins holding 2 5 kgs of sand. The

Evaluate the following double integral using polar coordinates, where R is the unit disk x 2 y 2 1 . R ( 4 x 2 y 2 ) d A
Evaluate the following double integral using

Solve the system x ' [ 6 - 2 2 1 0 ] x = [ e - 2 t 0 ] , x 1 ( 0 ) = 2 and x 2 ( 0 ) = - 1 by using the given information. e t P = [ e 8 t ( 1 - 2 t ) e 8 t ( - 2 t ) e 8 t ( 1 2 t ) ] e 8 t ( 2 t ) 0 t e s P f ( s ) d s = [ - 2 6 t e 6 t 8 3 6 e 6 t - 8 3 6 ] 2 6 t e 6 t - 2 3 6 e 6 t 2 3 6 x 1 ( t ) = x 2 ( t ) = Trending videos Search This
Solve the system x ' [ 6 - 2 2 1 0 ] x = [ e - 2

[ 1 8 marks ] Evaluate: a . ( 6 marks ) x 2 l n x d x b . ( 6 marks ) x s e c 2 x d x c . ( 6 marks ) t a r c t a n ( t ) d t
[ 1 8 marks ] Evaluate: a . ( 6 marks ) x 2 l n x

I n Exercises 3 - 1 4 , evaluate the indefinite integral t o develop a n understanding o f Substitution. 3 x 2 ( x 3 - 5 ) 7 d x
I n Exercises 3 - 1 4 , evaluate the indefinite

Suppose w e want t o determine whether a series n = n 0 a n converges o r diverges, using the l i m i t comparison test. This involves choosing a comparison series n = n 0 b n for which l i m n a n b n i s a nonzero real number. ( T h e r e are other cases a s well, but w e l l ignore them for this question. ) F o r each series n = n 0 a n below,

LarCalc 1 2 1 5 . 1 . 0 7 , Determine whether the vector field is conservative. If it is , find a potential function for the vector fleld. ( ir the vector fleid is not conservative, ertar Dife. ) F ( x , y ) = ( 4 y - x 2 ) 4 ( 4 x y ) 5 Check your answer by taking the derivative.
LarCalc 1 2 1 5 . 1 . 0 7 , Determine whether the

( 1 point ) I f - 2 4 f ( x ) d x = - 2 , 2 4 f ( x ) d x = 1 4 , and - 2 4 g ( x ) d x = 4 , find the following integrals. - 2 2 f ( x ) d x = - 2 4 [ g ( x ) + 5 ] d x =
( 1 point ) I f - 2 4 f ( x ) d x = - 2 , 2 4 f (

integrate ( x ^ 2 - x + 6 ) / ( x ^ 3 + 3 x ) dx

Suppose that gradf = 2 x y z e x 2 i + z e x 2 j + y e x 2 k . I f f ( 0 , 0 , 0 ) = 5 what i s f ( 1 , 1 , 2 ) ?
Suppose that gradf = 2 x y z e x 2 i + z e x 2 j

Evaluate the definite integral: 0 1 ( 5 x 3 4 - 8 x 2 ) d x
Evaluate the definite integral: 0 1 ( 5 x 3 4 - 8

Find the max rate of change of f f ( x , y , z ) = tan ( 3 x + 4 y + 4 z ) , ( 4 , - 9 , 6 )

Question number 1 6 . Find the critical points of f ( x ) = 3 x 2 + 2 x + 2 and classify all local and absolute extreme values on the interval - 1 , 0 .
Question number 1 6 . Find the critical points of

[ 0 / 3 Points ] Use part one of the fundamental theorem of calculus to find the derivative of the function. h ( x ) = 1 e x 5 l n ( t ) d t h ' ( x ) = , x
[ 0 / 3 Points ] Use part one of the fundamental

Find the derivative of y = 5 x 3 - 1 3 x 1 5 x 2 1 3 x 2 1 5 x 2 - 1 3 x 2 1 5 x 2 1 3 1 5 x 2 - 1 3 None of the above
Find the derivative of y = 5 x 3 - 1 3 x 1 5 x 2

0 3 2 1 ( 4 x 2 + 9 ) 3 2 d x , Using the substitution x = 3 2 t a n u
0 3 2 1 ( 4 x 2 + 9 ) 3 2 d x , Using the

Find the general indefinite integral. ( Remember the constant of integration. ) ( 4 x ^ 3 + 6 x + 3 ) dx

Tanks T 1 and T 2 in the Figure 1 below contain initially 5 0 gal of water each. In T 1 the water is pure, whereas 4 2 lb of fertilizer are dissolved in T 2 . By circulating liquid at a rate of 2 g a l m i n and stirring ( to keep the mixture uniform ) the amounts of fertilizer y 1 ( t ) in T 1 and y 2 ( t ) in T 2 change with time t . How long
Tanks T 1 and T 2 in the Figure 1 below contain

d . lim y - 2 y 3 - 8 2 y 2 - 7 y 1 2 [ 3 marks ]
d . lim y - 2 y 3 - 8 2 y 2 - 7 y 1 2 [ 3 marks ]

Basic Human Anatomy Laboratory and Study Guide Van Griner 2 0 2 4

s i n 3 ( y ) c o s 6 ( y ) d y

If f ( x ) = 2 x ( sinx + cosx ) , find f ( x ) = f ( 2 )

( A ) s 0 ( B ) s > 1 2 ( C ) s > 1 ( D ) s 1 Find all possible values o f s s o that the series n = 2 1 n ( l n n ) s converges.
( A ) s 0 ( B ) s style=

Homework: ( a ) Find the function f ( t ) such that L [ f ( t ) ] = 2 4 ( s 2 ) 2 - 3 6 f ( t ) = ( b ) Find the function g ( t ) such that L [ g ( t ) ] = 2 ( s - 2 ) 3 ( s 1 ) 2 - 1 2 . g ( t ) = q , Note: If you need the step function at t = c , it should be entered as u ( t - c ) .
Homework: ( a ) Find the function f ( t ) such

Find the derivative of the following function. y = - 8 e 6 x 5 x 2 d y d x =
Find the derivative of the following function. y

A ball is thrown into the air and follows the path described by the quadratic equation y = - 2 x ^ 2 + 4 x + 1 , where y is the height of the ball in meters and x is the time in seconds. What is the maximum height reached by the ball?

2 3 . 8 Compute the first - order central difference approximations o f O ( h 4 ) for each o f the following functions a t the specified location and for the specified step size: ( a ) y = x 3 + 4 x - 1 5 a t x = 0 , h = 0 . 2 5 ( b ) y = x 2 c o s x a t x = 0 . 4 , h = 0 . 1 ( c ) y = t a n ( x 3 ) a t x = 3 , h = 0 . 5 ( d ) y = s i n 0 . 5 x 2
2 3 . 8 Compute the first - order central

6 . [ - / 1 Points ] Math 1 1 0 Course Resources - Applications of Definite Integrals Course Packet on income streams and annuities this income stream at the end of 5 years. Future value ( exact value ) \ ( = \ ) dollars Future value ( rounded to the nearest cent ) = dollars
6 . [ - / 1 Points ] Math 1 1 0 Course Resources

evaluate the integral integratin 0 to pi 7 sin ^ 2 ( t ) cos ^ 4 ( t ) dt

x ^ ( 3 ) y ^ ( ' ' ' ) + xy ^ ( ' ) - y = 3 x ^ ( 4 ) solve the differantial equation.
x ^ ( 3 ) y ^ ( ' ' ' ) + xy ^ ( ' ) - y = 3 x ^

1 4 x x 2 - 1 d x = ? a ) 1 2 l n 1 5 b ) 1 2 l n 3 e ) The integral diverges. c ) l n 2 d ) l n 5
1 4 x x 2 - 1 d x = ? a ) 1 2 l n 1 5 b ) 1 2 l n

Q 3 . ( a ) Find all points where the polar curves r = \ theta and r = 2 \ theta intersect. ( b ) Determine the area which lies inside the polar curve r = 5 + sin ( \ theta ) but outside the polar curve r = 1 + 2 cos ( \ theta ) .
Q 3 . ( a ) Find all points where the polar

Find derivative of ( - 1 + 6 x + 2 x ^ - 3 ) ( 3 - x ^ - 2 )

Use L Hospital s Rule to evaluate lim x ex 1 x x 2 . Justify each step

Consider the function f ( x ) = 6 e 4 x + l o g ( 4 x 4 + 6 ) . Find the slope of the tangent to the curve f ( x ) at x = 3 .
Consider the function f ( x ) = 6 e 4 x + l o g (

f ( x ) = e 2 x + 3 fonksiyonunun ( x + 1 ) ' in kuvvetlerine g re Taylor seri temsili a a dakilerden hangisinde verilmi tir ? ( a ) n = 0 c 2 n ( x + 1 ) n n ! b ) n = 0 3 e 2 n ( x + 1 ) n n ! c ) n = 0 e 3 n ( x + 1 ) n n ! d ) n = 0 e 2 n - 1 ( x + 1 ) n n ! e ) n = 0 e 2 2 n ( x + 1 ) n n !
f ( x ) = e 2 x + 3 fonksiyonunun ( x + 1 ) ' in

Subtract the expressions with the same denominators a s indicated. Write the answer i n simplified form 4 w 2 2 w - 3 - 9 2 w - 3 =

Gasoline is pouring into a vertical cylindrical tank of radius 4 feet. When the depth of the gasoline is 4 feet, the depth is increasing at 0 . 3 friec. How fast is the volume of gasoline changing at that initare? Round your anwer to three decimal places. The volume is changing at a rate of I feet ? 3 per second.
Gasoline is pouring into a vertical cylindrical

A boy pushes the box and the box is moving to the right on a rough floor. The forces acting on the box are weight, normal force, external force and friction. weight, normal force and tension. weight, normal force, tension and external force. weight, normal force and friction. The initial horizontal velocity in a projectile motion is its final
A boy pushes the box and the box is moving to the

Find the derivative of the function. y = e 8 x e 8 x 9 y ' =
Find the derivative of the function. y = e 8 x e

The graph of function f is shown below. Let g ( x ) = - 3 x f ( t ) d t Evaluate g ( - 1 ) .
The graph of function f is shown below. Let g ( x

Q 4 . Express d w d t a s a function o f t , then determine i t a t t = 3 . w = l n ( x 2 + y 2 + z 2 ) , x = c o s ( t ) , y = s i n ( t ) , z = 4 t 2
Q 4 . Express d w d t a s a function o f t , then

The Computer Password As you enter the spacecral, you look to connect your computer. To your dinmay, the controls are also passeord protected Your compater helphily banslates the prompt and notifies you that three numbers are needed. Your compater is able to determine the algorithm for determining each number, along with some passeord hals. The
The Computer Password As you enter the spacecral,

Compute the integral: 6 x ( x 2 + 1 ) 2 d x
Compute the integral: 6 x ( x 2 + 1 ) 2 d x

Find the derivative of the function. f ( x ) = 2 x 2 l n ( 2 x ) f ' ( x ) =
Find the derivative of the function. f ( x ) = 2

Find a substitution to rewrite the integrand as - 1 7 e u d u . u = d u = ( ) d t Evaluate the given integral. ( Remember the constant of integration. ) Need Help?
Find a substitution to rewrite the integrand as -

Find an antiderivative of 3 x 3 + 8 x 5 / x 6 in the variable x where x 0 .

Evaluate the integral. 2 5 d x ( x 2 - 1 ) 3 2 Need Help? [ - ? ? 1 Points ]
Evaluate the integral. 2 5 d x ( x 2 - 1 ) 3 2

If we spend 8 0 - 9 0 % of our time with people communicating, when are we not communicating?

Check bere for instructional material to complete this problem. Rewrite the expression using exponents. 5 * 4 * 4 * 4 5 * 4 * 4 * 4 = 4 ( Type whole numbers. )
Check bere for instructional material to complete

Let f ( x ) = - 4 x 6 + 3 x 3 Calculate and arrange the rate o f change o f f ( x ) a t x = - 0 . 7 5 , x = 1 , x = - 0 . 5 i n increasing order. a t x = 1 , a t x = - 0 . 5 , a t x = - 0 . 7 5 a t x = - 0 . 5 , a t x = 1 , a t x = - 0 . 7 5 a t x = 1 , a t x = - 0 . 7 5 , a t x = - 0 . 5 a t x = - 0 . 7 5 , a t x = 1 , a t x = - 0 . 5 a t x = - 0
Let f ( x ) = - 4 x 6 + 3 x 3 Calculate and

Find the minimal distance from the point ( 5 , 2 , 0 ) t o the surface z 2 = x 2 + 2 x y . ( 2 0 points )
Find the minimal distance from the point ( 5 , 2

List the first five terms o f the sequence. , a 1 = 1 0 , a n + 1 = a n 1 + a n a 1 = a 2 = a 3 = a 4 = a 5 =
List the first five terms o f the sequence. , a 1

Check Your Understanding 1 . Valencia is deflating her air mattress at the end of her camping trip. The volure of air in the air mattress, in cubic feet, can be modeled by the equation V - 3 3 4 . 4 t where tis the time in minutes since she started removing the air from the mattress.a . At what fate is the air being removed from the air mattress?

QUESTION 1 - 1 POINT Calculate the absolute error in the estimate of 1 5 ( 4 x 4 - 3 x 2 ) d x using Simpson's rule with n = 2 . Enter an exact value. Provide your answer below: Absolute error = , units ? 2 Assessment Details Calculator Webcam Chat Support Minimize
QUESTION 1 - 1 POINT Calculate the absolute error

Determine limx 2 + f ( x ) given the definition of f ( x ) below . ( If the limit does not exist, enter . ) f ( x ) = x 2 + 2 x + 1 ifx < 2 2 x 2 2 xif 2 x < 6 2 xifx 6

Calculate the following definite integral: 1 5 ( 2 x 1 x 2 ) d x Show your work, but don't simplify your answer. There will be consequences if you do .
Calculate the following definite integral: 1 5 (

y = ( sin x ) x , dy / dx Write in terms of x only!

Given f ( x ) = 6 x 2 , find lim h 0 f ( 5 + h ) - f ( 5 ) h
Given f ( x ) = 6 x 2 , find lim h 0 f ( 5 + h )

A pyramid has helght k and a vquare base with side x . The volume of a pyramid is V = 1 3 x 9 x If the height remains foed and the side of the base is decreasing by 0 . 0 0 4 meter / yr , what rate is the volume decreasing when the height is 1 5 0 meters and the side of the square base is 2 0 0 meters? The volume in deoreasing at arate of meters ?
A pyramid has helght k and a vquare base with

Find lim x 0 e 2 x - 1 e x - 1
Find lim x 0 e 2 x - 1 e x - 1

T o which o f the following ( A ) 0 does the sequence { x n } , where ( B ) - 1 x n = ( - 1 ) n + n n , converge? ( C ) n ( D ) D o e s not converge ( E ) None o f above
T o which o f the following ( A ) 0 does the

code class = "asciimath" > Solve each proportion. ( 8 ) / ( h ) = ( 5 ) / ( 2 ) = , h =
code class = "asciimath" style="width: 25%; display: block; margin-left: 0; margin-right: auto;"></a></div> </h2> </div> </div> <div class="related-question-statment col-md-12 col-lg-12"> <div class="no-padding question-statement-complete-placement"> <h2 class="small_h2"> <a href="/study-help/questions/1-0-p-t-s-find-the-inverse-28172406" class="related-question-statement-styling">( 1 0 p t s ) Find the inverse Laplace L - 1 [ 3 s ( s 2 + 1 ) 2 ] L [ t n f ( t ) ] ( s ) = ( - 1 ) n F ( n ) ( s ) , where F ( s ) = L [ f ] ( s )</a><div class="questionHolder"><a href="/study-help/questions/1-0-p-t-s-find-the-inverse-28172406"><img src="https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2025/09/68ba6ed756185_53468ba6ed6ef2c6.jpg" alt="( 1 0 p t s ) Find the inverse Laplace L - 1 [ 3" class="sc-95ce458d-1 gwnYMC" style="width: 25%; display: block; margin-left: 0; margin-right: auto;"></a></div> </h2> </div> </div> <div class="related-question-statment col-md-12 col-lg-12"> <div class="no-padding question-statement-complete-placement"> <h2 class="small_h2"> <a href="/study-help/questions/find-4-x-9-d-x-4-28172411" class="related-question-statement-styling">Find ( 4 x 9 ) d x ( 4 x 9 ) d x =</a><div class="questionHolder"><a href="/study-help/questions/find-4-x-9-d-x-4-28172411"><img src="https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2025/09/68ba6ed79d14f_53568ba6ed70ff99.jpg" alt="Find ( 4 x 9 ) d x ( 4 x 9 ) d x =" class="sc-95ce458d-1 gwnYMC" style="width: 25%; display: block; margin-left: 0; margin-right: auto;"></a></div> </h2> </div> </div> <div class="related-question-statment col-md-12 col-lg-12"> <div class="no-padding question-statement-complete-placement"> <h2 class="small_h2"> <a href="/study-help/questions/find-the-indefinite-integral-remember-the-constant-of-integration-28172412" class="related-question-statement-styling">Find the indefinite integral. ( Remember the constant of integration. ) t a n 2 9 ( x 1 0 ) s e c 2 ( x 1 0 ) d x</a><div class="questionHolder"><a href="/study-help/questions/find-the-indefinite-integral-remember-the-constant-of-integration-28172412"><img src="https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2025/09/68ba6ed7d3161_53568ba6ed768c30.jpg" alt="Find the indefinite integral. ( Remember the" class="sc-95ce458d-1 gwnYMC" style="width: 25%; display: block; margin-left: 0; margin-right: auto;"></a></div> </h2> </div> </div> <div class="related-question-statment col-md-12 col-lg-12"> <div class="no-padding question-statement-complete-placement"> <h2 class="small_h2"> <a href="/study-help/questions/the-weekly-profit-p-in-thousands-of-dollars-28172414" class="related-question-statement-styling">The weekly profit, P ( in thousands of dollars ) , for a lech startup is modeled by the function: P ( x ) = 8 x x 2 k where x is the amount spent on advertising ( in thousands of dollars ) , x 0 , and k is a positive constant related to the company
The weekly profit, P ( in thousands of dollars )

( 1 0 pts ) Use the Comparison Test or Limit Comparison Test to determine if the series converges or diverges. n = 1 5 6 n 3 1 0 n = 1 3 1 0 n 6 n
( 1 0 pts ) Use the Comparison Test or Limit

2 b . ( x 4 ) 2 1 6 = 8 Answer = a - b c 2 , where: a = b = c =
2 b . ( x 4 ) 2 1 6 = 8 Answer = a - b c 2 ,

Find the distance between the two points. ( - 4 , - 3 ) and ( 1 6 , 4 5 ) The distance i s ( T y p e a n exact answer, using radicals a s needed. )
Find the distance between the two points. ( - 4 ,

Question 8 ( 1 point ) The vertical shift of the function f ( x ) = 1 . 5 c o s [ 0 . 5 ( x - 2 ) ] 3 a ) 3 units up b ) 3 units down c ) 1 . 5 units down d ) 0 . 5 units up
Question 8 ( 1 point ) The vertical shift of the

code class = "asciimath" > ( t ^ ( 2 ) - 1 ) / ( 3 ) = t ^ ( 2 ) - 5 1 ( t ^ ( 2 ) | 2 t | 1 ) / ( t + 1 ) = 4 ( 3 ) / ( x ^ ( 2 ) - 4 ) + ( 2 ) / ( x ^ ( 2 ) - 4 ) = ( 1 ) / ( x + 2 ) ( 5 a ) / ( 6 ) = ( 7 ) / ( 1 2 ) - ( 1 ) / ( 3 ) ( 5 + 3 b ) / ( 1 0 ) - ( 2 ( b - 1 ) ) / ( 6 ) = 1
code class = "asciimath" style="width: 25%; display: block; margin-left: 0; margin-right: auto;"></a></div> </h2> </div> </div> <div class="related-question-statment col-md-12 col-lg-12"> <div class="no-padding question-statement-complete-placement"> <h2 class="small_h2"> <a href="/study-help/questions/find-the-taylor-polynomials-o-f-degree-n-approximating-s-28172446" class="related-question-statement-styling">Find the Taylor polynomials o f degree n approximating s i n ( 2 x ) for x near 0 : For n = 1 , p 1 ( x ) = For n = 3 , p 3 ( x ) = For n = 5 , p 5 ( x ) =</a> </h2> </div> </div> <div class="related-question-statment col-md-12 col-lg-12"> <div class="no-padding question-statement-complete-placement"> <h2 class="small_h2"> <a href="/study-help/questions/demonstrate-integration-strategy-as-well-as-one-additional-integration-method-28172448" class="related-question-statement-styling">demonstrate integration strategy as well. as one additional integration method that you Given an integral, determine which strategy is best used to evaluate include a clear explanation of why you chose this method. Partial Fractions: decompose fractions with polynomas using the method of partial fractions so that they can be integrated.</a><div class="questionHolder"><a href="/study-help/questions/demonstrate-integration-strategy-as-well-as-one-additional-integration-method-28172448"><img src="https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2025/09/68ba6edc017f6_53968ba6edb99f9b.jpg" alt="demonstrate integration strategy as well. as one" class="sc-95ce458d-1 gwnYMC" style="width: 25%; display: block; margin-left: 0; margin-right: auto;"></a></div> </h2> </div> </div> <div class="related-question-statment col-md-12 col-lg-12"> <div class="no-padding question-statement-complete-placement"> <h2 class="small_h2"> <a href="/study-help/questions/a-find-the-work-done-by-the-force-28172449" class="related-question-statement-styling">( a ) Find the work done by the force F ( x , y ) = - y i ( x 1 ) j ( x 1 ) 2 4 y 2 in moving a particle from ( 0 , 1 ) to ( - 2 , 1 ) , then back to the ( 0 , 1 ) along the parabola y = 2 x 2 4 x 1 . ( b ) Evaluate S curlF * n d S , where F ( x , y , z ) = z t a n - 1 ( y 2 ) i z 3 l n ( x 2 1 ) j z k and S is the portion of the surface z = 1 - x</a><div class="questionHolder"><a href="/study-help/questions/a-find-the-work-done-by-the-force-28172449"><img src="https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2025/09/68ba6edc41cbf_53968ba6edbb0897.jpg" alt="( a ) Find the work done by the force F ( x , y )" class="sc-95ce458d-1 gwnYMC" style="width: 25%; display: block; margin-left: 0; margin-right: auto;"></a></div> </h2> </div> </div> </div> <!--See More Section Button--> <div class="col-md-12 col-lg-12 see-more-section"> <div class="pull-left margin-20-top"> <span class="step-by font-16">Showing 1300 - 1400</span> <span class="of-50"> of 1501 </span> </div> <div class="pull-right "> <ul class="pagination" style="margin: 20px 0px 20px"><li><a href="/study-help/questions/sciences-mathematics-2018-May-29?page=13" id="prev"><i class="fa fa-angle-left"></i></a></li><li class="disabled"><span>14 / 16</span></li><li><a href="/study-help/questions/sciences-mathematics-2018-May-29?page=15" id="next"><i class="fa fa-angle-right"></i></a></li></ul> </div> </div> <!--See More Question Section--> </div> </div> <!--End of the left section--> </div> <!--Vacant Division --> <div class="col-md-1 col-lg-1 no-padding"> </div> <!-- Commented out Join SolutionInn section <div class="col-md-3 col-lg-3 no-padding mobile-display-hide"> </div> --> </div> </div></div><div class="blank-portion"></div><footer><div class="container footerHolder"> <div class="footerLinksFlex"> <div class="footerLinksCol col-md-3 col-lg-3 col-sm-6 col-6"> <p>Services</p> <ul> <li><a href="/site-map">Sitemap</a></li> <li><a href="/fun/">Fun</a></li> <li><a href="/study-help/definitions">Definitions</a></li> <li><a href="/tutors/become-a-tutor">Become Tutor</a></li> <li><a href="/books/used-textbooks">Used Textbooks</a></li> <li><a href="/study-help/categories">Study Help Categories</a></li> <li><a href="/study-help/latest-questions">Recent Questions</a></li> <li><a href="/study-help/questions-and-answers">Expert Questions</a></li> <li><a href="/clothing">Campus Wear</a></li> <li><a href="/sell-books">Sell Your Books</a></li> </ul> </div> <div class="footerLinksCol col-md-3 col-lg-3 col-sm-6 col-6"> <p>Company Info</p> <ul> <li><a href="/security">Security</a></li> <li><a href="/copyrights">Copyrights</a></li> <li><a href="/privacy">Privacy Policy</a></li> <li><a href="/conditions">Terms & Conditions</a></li> <li><a href="/solutioninn-fee">SolutionInn Fee</a></li> <li><a href="/scholarships">Scholarship</a></li> <li><a href="/online-quiz">Online Quiz</a></li> <li><a href="/study-feedback">Give Feedback, Get Rewards</a></li> </ul> </div> <div class="footerLinksCol col-md-3 col-lg-3 col-sm-6 col-6"> <p>Get In Touch</p> <ul> <li><a href="/about-us">About Us</a></li> <li><a href="/support">Contact Us</a></li> <li><a href="/career">Career</a></li> <li><a href="/jobs">Jobs</a></li> <li><a href="/support">FAQ</a></li> <li><a href="https://www.studentbeans.com/en-us/us/beansid-connect/hosted/solutioninn" target="_blank" rel="noopener nofollow">Student Discount</a></li> <li><a href="/campus-ambassador-program">Campus Ambassador</a></li> </ul> </div> <div class="footerLinksCol col-md-3 col-lg-3 col-sm-6 col-12"> <p>Secure Payment</p> <div class="footerAppDownloadRow"> <div class="downloadLinkHolder"> <img src="https://dsd5zvtm8ll6.cloudfront.net/includes/images/rewamp/common/footer/secure_payment_method.png" class="img-fluid mb-3" width="243" height="28" alt="payment-verified-icon" loading="lazy"> </div> </div> <p>Download Our App</p> <div class="footerAppDownloadRow"> <div class="downloadLinkHolder mobileAppDownload col-md-6 col-lg-6 col-sm-6 col-6 redirection" data-id="1"> <img style="cursor:pointer;" src="https://dsd5zvtm8ll6.cloudfront.net/includes/images/rewamp/home_page/google-play-svg.svg" alt="SolutionInn - Study Help App for Android" width="116" height="40" class="img-fluid mb-3 " loading="lazy"> </div> <div class="downloadLinkHolder mobileAppDownload col-md-6 col-lg-6 col-sm-6 col-6 redirection" data-id="2"> <img style="cursor:pointer;" src="https://dsd5zvtm8ll6.cloudfront.net/includes/images/rewamp/home_page/apple-store-download-icon.svg" alt="SolutionInn - Study Help App for iOS" width="116" height="40" class="img-fluid mb-3" loading="lazy"> </div> </div> </div> </div> </div> <div class="footer-bottom"> <p>© 2026 SolutionInn. 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