Mathematics Questions and Answers September 14, 2020

5. [-/3 Points] DETAILS LARCALCET7 3.5.041. Find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x2y, (1, 1) Bifolium: 1.4 1.21 (1,1) 0.8- 0.61 -15 -1 -0.5 0.5 1 1.5 -0.21 -0.41 Need Help? Read It Watch It

'onzompani.r training program has determined that on the average a new employee produces P(5) items per clan,r after 5 days of onthe-job training where P(s] = +3 nd and Interpret Ilm P(e) 5)m Find the limit. Select the correct choice below and. \"necessary: fill in the answer box within your choice Ill'i'l P(s]= sma DA. (g B. The limit does not.

Give conditions on the constants a, b, c to ensure that the flux integral F . d A is positive for F = ai + bj + ck and S isa disk perpendicular to the y-axis, through (0, 7, 0) and oriented away from the origin. O b = 0, but there are no conditions on a and c. O b 0, and a > c. O b > a + c, and a > 0 and c > 0. O b > 0, but there are no conditions

3. Find the tangential and normal components of the acceleration vector at the given point. (a) r(t) = Inti + (t2 + 3t)j + 4vtk; (0,4,4) 1 1 1\\ (b) r(t) = 7' 72' 73 ) ; ( 1, 1, 1 )

A5 Reparametrization and Integ Problem 2 Previous Problem Problem List Next Problem (1 point) Find an arc length parametrization r , (s ) of r(t) = (et sin(t) , et cos(t) , 5et). Assume t(s) = 0 when s = 0, and t' (0) > 0. ri (s) = <

There are 75 major sources of pollen in state A. These pollen sources are categorized asgrasses, weeds, and trees. If the number of weeds is 5 less than thrice the number of grasses, and the number of trees is 3 more than thrice the number of grasses, find the number of grasses, weeds, and trees that are major pollen sources

Calculus 1 Activity 1. Directions: Answer the problems below. Write the complete solution ( Given , Required , Solution ) of each of the problems. In return, I will give a good rating. Thank you very much for your time and effort! 1. Find equations of the two tangent lines to the graph of x) 2 X2 that pass through the point (1, 3). line with

Iffis continuous on a,b, then , where Fis any antiderivative off, i.e., f . Here, we will prove a the evaluation theorem using the mean value theorem. Recall the mean uglue theorem, states If is continuous on a,b and differentiable on (a,b), then there exists a number c with a c b such that f Recall the definition Qf.a definite integral Jab

Find the volume of the given solid over the indicated region of integration. f(x,y) = 4x +5y +7; R={(x,y): -4xs2, 1sys2} What is the volume of the region? units

3. (a) For which values of the parameter p E R is the function f : (1,2) - R, f(x) = (Inx), Lebesgue integrable with respect to the Lebesgue measure? Justify your answer. 5 marks

3. The function f (x) = - x satisfies the hypotheses of the Mean Value Theorem on the interval [-2, 0]. x -8 Find all values of c that satisfy the conclusion of the theorem

tan(2x)=cos(x)/(2-sin(x)), where 0

3. Using Lagrange multipliers, find the maximum and minimum values.

f (x, y, z) xyz,

Let f(x, y) = x3(-y) + 2x2y + y2 - 1. Use the Second Partials Test to determine which of the following are true? 16 I f(x, y) has a relative minimum at 27 II f(, y) has a saddle point at (2, 0) Ill The test gives no information about (0, 0) O. a) Only I is correct O b) Only I and ll are correct O c) Only ll is correct O d) Only Ill is correct O e)

How to

Let f(x, y) dx Fih4

Use Units If units are given in the problem, make sure you give them in your answer. Answer the Question Be very careful to answer the question asked. If you're asked to find the points of intersection between y:x2 and y:cosx, then {x = .82413, -.82413} is the wrong answer! The correct answer is: points (-.824l3, .67919) and (.82413, .67919).

Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value. 3 8x - 3x - 7 lim X-+00 7x - 3x - 8 Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. 3 8x - 3x - 7 lim X-+00 7x - 3x - 8 O B. The limit does not exist and is neither co nor - co

Find an equation of the line that passes through the given points. (Let x be the independent variable and y be the dependent variable.) (-1,-2) and (7, -6)

Hello, I need help with this assignment deltamath.com 88 Site G Meet Codes M Inbox - znn4690@k12.s... S Home | Schoology PreCalculus: Pd.5 - PreC... Daily Warmup 824-826... Weekly Journal Assignm... S Home | Schoology Homework Help - Q&A f... DeltaMath G Midpoint Calculator - Fi... DeltaMath Student Help Video Tools C

calculs 3 Note: please write down the Answer by hand on paper and also write each answer with the number of the questions 1. (a) Change the point (2, 2V3,6) from cartesian coordinates to cylindrical coordinates. (b) Change the point (V3, ~, 1) from cylindrical coordinates to spherical coordinates.(c) Express the surface p = cos & in cartesian

(1 point) Evaluate the limit below in two steps by using algebra to simplify the difference quotient and then evaluating the limit. Vh2 + 13h + 5 - V5 lim lim h +0+ h h +0

Find the total area of the shaded regions. y X 49FX 28 2 4 10 8 6 4 2 4 2 4 8 9 10

6 y = f(x) 5 - -I- - - 4 2 X 0 3 4 6 8 Enter each answer as a whole number (like -4, 0, or 253) or DNE for undefined or Does Not Exist. f(3) = lim f(x) lim f(x) = I-+7+ lim f(x) =The graph below is the function f(x) 3 OI -6 -4 -3 2 3 UT- Find lim f() = C4-1- Find lim f(@) = 14-1+ Find lim f(x) = I-+-1 Find f(-1) =The graph below is the function

3 The goal of this exercise is to approximate the value of the definite integral (2 2 - 1) da using a Riemann sum with left endpoints and 8 subintervals (i.e. using the Riemann sum Lg). a) If you sub-divide the interval |1, 3] into 8 subintervals of equal length Ax, you get 8 subintervals of the form [; _1, ; ] whose union is the interval [1, 3].

3 Using the fact that lim sin x = 1 to find lim 1 - cos x x+0 X x-0 x sin x

Find the derivative and simplify. y = (9x + 8)(x2 2x).

please select the correct answer from the multiple choose options Write the equation of ) = e reflected over the x axis, translated 3 units to the right and then 7 units upward. A. y=-7ex-3 B. y = ex+ +7 C. y=ex+3 + 7 D. y=-ex-3+7 d

If y = f(g(x)) = (fog)x, then d/dx ((f(g(x)) = f'(g(x))g'(x) Proof: Now u = g(x+x) -g(x)

HELP ASAP The prot function for a computer company is given by P(x) = 7x2 + 24x 7 29 where x is the number of units produced (in thousands) and the profit is In thousands of dollars. (a) How many computers (in thousands) should the company produce in order to maximize prot? l thousand computers (b) What is the maximum profit (in thousands of

How to graph?

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Q18 Compute cos2r dr.

1. What is the limit of the sequence an = 6/(1+a,-1) if ag = 1? 2. What is the area bounded by the functions f(x) - sin(2x) and g(x) - sin(-2x) for the interval -MT x TT?

If you can just write like 1) a b c or d that would be great 3.05 What is the equation of the tangent line to the circle x2 + y = 34 at the point (5, 3)? Given y - xy = 9x , what is to ? o (y - 3) = 3(x+5) o (y - 3) = - 3(x-5) O dy = o (y + 3) = -5(x-5) 1 + x o ( y - 3) = 8(x-5) dy

A circle passes through (3, -1) , (-2, 4) , and (6, 8) Using the general form of a circle x2 + y + Dx + Ey + F =0 and the points above, fill in missing numbers to create the system of equations. (3, -1) creates D + E + 1F = (-2, 4) creates D + E + 1F = (6, 8) creates D + E + 1F = Solve the system of equations that you created, and write the

Calculate the derivative e3x d .7 In (t) dt da Jx using Part 2 of the Fundamental Theorem of Calculus. Enclose arguments of functions in parentheses. For example, sin (2x). e3x d In (t)d dac 7

. Question 2 Given the function C(t) = (t - 2) (t + 5)(t - 6) its O'-intercept is its t-intercepts areQuestion 3 Use your graphing calculator to solve the equation graphically for all real solutions x3 - 5x + 2x + 12 = 0 Solutions: I = Make sure your answers are accurate to at least two decimalsI Question 4 v 2 Solve the inequality [3: 2H3: 3] :47

STEP 5 241 x C2CKZID 2X41 (29 24 D 32 (298) 32 )2cx1zo 2

I need to integrate. Please show your steps as I'm learning as I go. Im a victim of a bad teacher. lim 2 In (x) X-+ 00 x4

Please show all your work and display your answers clearly. 1. (18 pts.) Find the following limits. Justify your answers. (a lim Va+1- V2 x-1

2 | . Analyze the lnction below based on the following headings: domain. :t 3; 3r intercepts, critical points and intervals ol'increasing and decreasing, points of inection and intervals of concavity. Sketch the function on the grid provided. x) = 3x4 12}:3

Multiple Choice: [12 Marks] lik. Circle the interval(s) where f *(x) is positive. 1. Considering the following graph of fix). a) (-infinity. 0). (2.4) b) (-infinity, 1). (3. 4.5) c) (1. 3). (4. 4.5) d) (1. 3) (2.4)03.2).(4. 4.5) w. Circle the intervals) where f "(x) is negative. a) (-infinity. 2). (3. 6) b) (0. 2). (4. 4.5). (4 5. 6) ()

Question 2 1 Point Find the open interval[s) where the function is changing as requested. Increasingly = x3+7 A) (-1, ") B) (-, 0) c) (0, = ) D none

The graph of y = f(x) is shown below. 2 -2 X 1 Use the graph of y = f(x) to compute each of the following values. If an answer does not exist, enter DNE. f(-1) = X lim f(x) = X x- -1

Which expression is meaningless? a. axb x c b. (axb) . c c. (axb) . c d. (a - b) . c e. a . (b x c ) 2. The vector result of (1 - 2] + 3k) X(-21 + 2] - 2k) is [K /1] a. -i+ 7j b. - it j - k C. -1- J+ 3k d. j+ 7k e. -i+ 7k 3 The result of the following dot product (1 - 2j + 3k) . (-21 + 2j - 2k) is [K /1] a. -10 b. -6 C. 0 d. 10 e . 6 4. Which

I need help with 8 8. The population of Albania in 2001 was 2.5 million people, and increases at rate of 4.7%. a. Write an equation that models this situation. b. What will the population be in 5 years? c. When will the population be doubled

Identify the symmetries of the curve below. Then sketch the curve. r2: sin (a) Identify the symmetries of the curve. Select all that apply. |:| A. The curve is symmetric about the origin. |:| B. The curve is symmetric about the y-axis. |:| C. The curve is symmetric about the x-axis. Select the correct graph below. C) A. 3' Q X Q - m 9,9 % 9:9 E 9:9

5. PA is tangent to circle O at A, secant PBC is drawn, PB = 4, and BC = 12. 6. Secants PQR and PST are drawn to a Find PA. circle from point P. If PR = 24, PQ = 6, and PS = 8, determine and state the length of PT. B C R S T 7. CBA and CED are secants. AC = 12, 8. PS is a tangent to circle O at point S and BC = 3, and DC = 9. Find EC. PQR is a

Use a change of variables to evaluate the definite integral. Enter an exact answer. 0 4 p i s e c 2 ( 7 t ) t a n ( 7 t ) d t =

D Question 1 The linear density of a rod varies with length as A = 2x + 3 If the length of the rod is 5.8m, find the location of the center of mass of the rod. Specify your answer in SI units up to one decimal place. Do not include units

Find all the critical numbers of f(x) = _x x - 3 a.) x = 0 and x = 6 ( b.) x = 3 and x = 6 O C.) X = 6 O d.) x = 0, x = 3, x = 6

7. Give an example of a set in the plane l[our usual I. 3; plane] that is closed, open, and not bounded. You can draw.r the picture but note that it has to satisfy all three conditions

Rational Functions Evaluate um flyl and lim f (x) for the allowing rational Function. Then give the hockzantal asymptote of + ( if any ) 27 f (x ) = 6 x - 9 x48

(7) 7. [-/1 Points] DETAILS SERPSE10 4.3.P.015.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A home run is hit in such a way that the baseball just clears a wall 18.0 m high, located 116 m from home plate. The ball is hit at an angle of 31.0 to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m

Please help me to solve this, 1) Security systems. The security system of a house is designed to have 99% reliability. Suppose that nine houses equipped with this system experience a robbery attempt. Find the probabilities of these events: At least one alarm was triggered. More than seven alarms were triggered. Eight or fewer alarms were

Answer the following Preeal Sigma Notation Answer with solution I. Find and evaluate each sum 20 1. 2 5k2 1 k=1 10 2. z Mk + 2) k=4 5 3. z (40 k2) k=0 ll. Rewrite each series using sigma notation. 1. 1 0+4+8+12+16 8 4 B 2. 2 + ? + g + ? + 1 3. 1 +4+9+16+25+36 Write solution and explain

Exercise 6.3.9 Find an N so that is between IMz and IMz IMs +0.005

ExerOe6.3S Find an N so that Is between

4. Sketch two pairs of curves in the ry-plane where the area between between the two curves is most easily found by integrating with respect to (a) r and (b) with respect to y. (a) (b)2. For each of the following, sketch the given curves and indicate the region bounded by them. Then set up and evaluate an integral representing the area of the

Please explain/show how you solved, step by step, thank you! 1 Q Use basic identities to simplify 51:13 3 + {3052 $ slum. Enclose arguments of functions in parentheses. For example, Sl [2$]. Remember that writing sin(x) to the fourth power as 31114 [m] is just a mathematical shorthand. You should write it as (5111 (M) 4, which is what Mobius

Find all values x = a where the function is discontinuous. B if x 11

End an values a where the function is discontinuous 8if4sxs11 8ifX11

An object is dropped from a tower, 1024 ft above the ground. The object's height above ground x seconds after the fall is s(x) = 1024 - 16x". About how long does it take the object to hit the ground? What is the object's velocity at the moment of impact? It takes sec for the object to hit the ground. (Round to the nearest tenth as needed.) ft The

Definition: Suppose (r, y) is a point on the Unit Circle corresponding with the angle 0 in standard position. We define the six basic trigonometric functions in the following way. sin(0) = y tan(0) = _ cos(0) = z csc(0) = sec (0) = = cot(0) = 2 These functions are called sine, cosine, tangent, cosecant, secant, and cotangent. 18. Suppose 0 is the

Question 3(Multiple Choice Worth 2 points) (05.05 MC) Given sec s_ _0 what is cos? O onl - 05 O V10 2 O V10 Question 4 Mouse Choice Wonhis con's) (05 05 MC) What is the exact value of since 2 10upX 19 Exam: 05.05 Making the Unit Circ X https://learn.flvs.net/educator/st x Virtual School Administrator C

I need assistance with this assignment to add it in my notes. Find the absolute maximum and absolute minimum values of fon each interval. (If an answer does not exist, enter DNE.) (x) = 3x2- 36x + 500 (a) ( 6, 11 ) Absolute maximum: Absolute minimum: (b) ( 6, 11 ] Absolute maximum: Absolute minimum: [-/6 Points] DETAILS 0/6 Submissions Used Find

Help pls Given the point (9, 3) is on the graph of f( 7) = \\/ z, what would the point Become on the graph of f(z) = -

Find the most general antiderivative or indefinite integral. Check your answer by differentiation. . . . 1 918 + dt=

\fSolve the following initial value problem. dy dx 2 -X, X > 0; y(6) = 5 X The solution is (Type an equation.)Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base, estimate the area under the graph using first two and then four rectangles. f(x) = x between x = 0 and x = 2 . . . Using two

point(s) possible Perform the row operation - 2R, + R, ->R, on the matrix below. 1 - 3 2 4 -6 -8 1 - 3 2 -2R,+ R2- R2 4 -6 -8

Sales The prot for a product is Increasing at a rate of $5400 per week. The demand and cost functions for the product are gIven by p = 7000 25x and C = 2200X + 52, where x Is the number of units produced per week. Find the rate of change of sales with respect to time when the weekly sales arex = 42 units. 4* I X unis per week Submit

Determine whether each point lies on the graph of the equation. Show the work. y=|x-1|+2 (a) (2,3) (b) (-1,0) 2x-y-3=0 (a) (1,2) (b) (1,-1) x 2 +y 2 = 20 (a) (3, -2) ( b) (-4, 2) y= 1/3x 3 -2x 2 (a) (2, -16/3) (b) (-3, 9)

The graph of continuous function f for -3 s x s 16 is shown. Co yl X -1 -2 -3 -4 56 -4 -2 0 2 4 6 8 10 12 14 16 18 20 Let g and h be functions defined by g(x) = exf(x) and h(x) = -3x2 + 2x + In(x). Part A: Find g'(9). (10 points) Part B: The function m is defined by m(x) = f(x) . h(x). Find m'(12). (15 points) Part C: The function n is defined by

(c) (-1)k k . (x-3)k k=0 Radius = Interval: 2k + 1 (d) ) AK - I k=0 Radius = Interval

6. (10 pts) A particle moves on a vertical line so that its coordinate at time t is y = t3 - 12t + 3.t 20. (1.) Find the velocity function. (2.) When is the particle at rest? (3.) When is the particle moving in the positive direction? (4.) Find the distance that the particle travels in the time interval 0 s t

16. (10.2/4) For the parameterized curve r(t) = (1+t, vi) , a) Sketch the plane curve with the given vector equation. b) Find r'(t) . c) Sketch the position vector r(t) and the tangent vector r'(t) for t = 1

doug claims that a critical number must correspond to a local maximum, local minimum, or an inflection point in the graph of function g(x). Is he correct? If so, clearly explain how you arrived at your conclusion; if not not, draw the graph of function with a critical number x=1 which does not correspond to either a local extremum or inflection

please can I get help on these questions 6. Suppose that we cook a chicken whose initial temperature is 32 F to a temperature of 165 F over the course of thirty minutes in an oven with temperature a of 400 F. Approximate the constant of proportionality using Newton's Law of Cooling. A. k = 0.016 B. k = 0.014 C. k = 0.015 D. None of the above 7. In

Consider the given function d (x) = x + 8x +15 (a) Write the function in vertex form. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s) (e) Sketch the function. (f) Determine the axis of symmetry. (g) Determine the minimum or maximum value If the function. (h) Write the domain and range in interval

8. [-/3 Points] DETAILS SCALC9 3.2.038. MY NOTES PRACTICE ANOTHER At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:10 p.m. it reads 50 mi/h. Show that at some time between 2:00 and 2:10 the acceleration is exactly 120 mi/h2. Let v(t) be the velocity of the car t hours after 2:00 p.m. Then V(1/6) (0) By the Mean Value Theorem, there is a number

Find a formula for f(x) if 4 f'(x) = and = -1 V1- 22 f(x) =

ormUla forf(c) if

b g (b) Use the Substitution Formula, f(g(x)) . g'(x) dx = - f(u) du where g(x) = u, to evaluate the a following integral. g(a) ex dx 1+ p2x - In 3 . . . ex dx 1 + p2x 13 - In 3Find the total area of the shaded region. The total area of the shaded region is E (Type an exact answer, using 1: as neededJ Find the total area of the shaded regions. The

Please answer all neatly and legibly Which of the following series converge absolutely, which converge conditionally and which diverge? (-1)On 1. En=2 13-5 2. En=o (-1)"Vn2+1 n2+n+8 3. En=(1)" ( (-1)n+1 4. En=1 Vn+1+Vn 5. En=2(-1)n+141 n Inn On=3 (-1 )n 30-3 5n-10 7 En=(-1)nting (-1)n 8. Zn=1 5 9n4+3

(1 point) A street light is at the top of a 13.5 ft. tall pole. A man 5.8 ft tall walks away from the pole with a speed of 4.0 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 36 feet from the pole? Your answer: ft/sec Hint: Draw a picture and use similar triangles

Please solve this using only the comparison test 7.9.1 Example In n Test the series M for convergence. n n=

INfinite limits at lNfinity Determine the following limit lim ( 3 * 12 - qx' ) X -do

At what point is the slope of the line tangent to the curve y - 3x7 + 4 equal to zero

Please answer all of the questions and please show all of your work so it is easy to understand. (Also when i put "/" it means it is a fraction) 1) Carbon-14 is a radioactive form of carbon that is found in all living plants and animals. After a plant or animal dies, the carbon-14 disintegrates. Scientists determine the age of the remains by

1. f(x)=x^24. and g(x)=x4. Find (fg)(2) (fg)(2)= 2. Write the formula for the perimeter of a square in terms of its area (A). P= 3. Let f(x)=3x4 and g(x)=x3. Find f/g and its domain. (f/g)(x)= Domain= 4. Let f(x)=5x^2+4 and g(x)=4x+3. Find the value of (gf)(1) 5. xx f(x)f(x) g(x)g(x) f(g(x))f(g(x)) g(f(x))g(f(x)) 11 55 33 22 33 44 33 11 55 44 22

Find the domain of the function of algebraically. Use set notation. y=5/x+6

Place the steps of solving learning curve problems in the correct order, with step one at the top

Water is being pumped into an inverted conical tank at some constant rate. The tank has a height of 600 cm and the diameter of the tank across the top is 400 cm. If the water level is rising at a rate of 20 cm/min when the height of the water is 200 cm, find the rate at which water is being pumped into the tank. (Round your answer to the nearest

Help! I can't figure this out 1. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region. sinto y = 3x, y = x2, about the x - axis

Determine whether the following statements are True or False 1. A mathematical object can have an area of 0 2. If a polygon has an area of A and another polygon has an area of B, then the union of these polygons as sets always has an area A+B 3. Since a line has a width of 1, the area of any line segment is equal to its length 4. The area of any

. Question 4 [:4 0/1 pt '0 5 8 9 (9 Details On a bicycle, Marsai rides for 4 hours and is 10 miles from her house. After riding for 11 hours, she is 24 miles away. What is Marsai's average rate over the last 7 hours of her trip? miles per hour U Question Help: El Video 8 Message instructor Submit Question Jump to Answer 0 Question 5 E 0/1 pt '0 5

Consider the function f (x) = 2 cos ( x 3 + 2). Determine its amplitude, period, and midline. Enter the exact answers. For the number 7, either choose 7 from the bar at the top or type in Pi (with a capital P). Ampliude: A = Number Period: P = Midline: y = Number

Q32 Suppose the point P = (To, yo, 20) lies on the graph = = f(x, y). C Give the formula for tangent plane to this graph at P. b z = f(x, y) is a level surface of F(x, y, 2) = f(x, y) - 2. Use the gradient of F to write the equation of the tangent plane to F(r, y, =) =0 at P. C Are these equations equivalent? Justify your answer with algebra

I don't understand how to solve this can someone explain . . . ............ 3. [-/0 Points] DETAILS OSPRECALC1 4.8.452. MY NOTES ASK YOUR TEACHER ....... Refer to the table below. X 1 2 3 4 5 6 f (x ) 1125 1495 2310 3344 4700 6361 Use the regression feature to find an exponential function that best fits the data in the table. (Round the

Consider the recursive relation 4 (a) Find all equilibrium points. Answer: x = and x Note: For the choice between stable and unstable, you have only one try (b) The smaller equilibrium is v stable unstable (c) The larger equilibrium is (d) On your own, draw the function f (x) and perform cobwebbing. (No need to upload anything here.)

How without calculator Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Ente h(x) = x4 - 8x3 + 17 increasing decreasing

The momentum distribution of a certain particle in one-dimension is given by the momentum-space wave function 4(p) = N- P where /V is a normalization constant and o is some quantity with the same dimensions as momentum. Determine /V (in terms of or) and the normalized wave function, " (x). N= 20 ax a e h X

Find the volume of the solid formed by rotating the region enclosed by x =0, =1, y=0, y=7+24 about the x-axis

Part II: Sketching SONKOFA Students do some research about the significance of the Sankofa bird for Black History and write a short paragraph about the symbol. Using Desmos to draw Sankofa