Mathematics Questions and Answers November 03, 2020

(1 point) Book Problem 27 a) Find the values of a for which the series converges. Answer. (b) Find the sum of the series for those values of x . Sum = . (your answer should be a function of x)

8. Problem 10. (1 point) Evaluate the following expressions. Your answer must be an angle in radians and in the interval [-,, ,, . To enter an answer involving 7, write 'pi', e.g., as in 'pi/7'. (a) sin (-}) = (b) sin ' (0) = (c) sin 1(V2) =Problem 8. {1 point} 1 Suppose the point I: 9. 2) is on the graph of y = g(.l?) What point must be on the

The z-transform of e^(-2n) u[n] is Question 10 options: z/(z-e^2) z/(z-e^(-2) ) (e^2 z)/(z-1 ) 1/(z-e^(-2) )

R.Question 98 thx (b) Determine the values Of A FOf winch to un tion given in part (a) is accurate to within 0.1. 98. Evaluate dy if y = x3 - 2x2 + 1, x = 2, and dx = 0.2. ed by a semi

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hi can someone help me? 1) Let f(x) = 2x + 3 and g(x) = x3 + 4x + 3. a) Find and simplify (go f(x). b) Find f-(x) and show that the function you found is indeed the inverse of f(x). 2c + 3 4r 2) Let f(x) = 3x - 5: 9(x) = 3x - 2' h(x) = v3x - 12, F(x) = 3r + 4, G(x) = 2x - 3 a) Find the domain of h(x). b) Find the function (F + G)(x) and its

9. Calculate the arc length of the curve in the plane given by y = cosh x between the points with co-ordinates (0, 1) and ((B + 1), cosh(B + 1)). [5 marks]

Explain following four approaches to solve technical problems and strategic objectives? Analytical Problem Solving Write your answer in 50-100 words.

2023SP Calculus II (MATH-2414-42301) Test: Final Exam MML Question 9 of 20 This tes This quest Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. Question list K n neo 50 + 1 Question 1 Question 2 Select the correct answer below and fill in the answer box to complete your choice. O A.

1. (5 marks) Find the indefinite integral using the given substitution 23(2 +24)5 do, u= 2+24 2. (5 marks) Using the given substitution find the exact value of -4/T sec2 (1/x) d.r, u = 1/x. 13/T 3. (5 marks) Use integration by parts to find (22 + 1)e" da. 4. (5 marks) Use integration by parts to show that re" do = ret -n / x-let da, where n is a

Please show how you solve these two problems for vector calculus. Please do these numbers: (7 PART A, B, C, D, E, F, G) AND (8 PART A AND B) :) refrences: Multivariable Calculus; 6th edition; McCallum, Hughes-Hallett, Gleason, et al.; Wiley. 7. Use the level curves of the function z = f (x, y) to decide the sign of the following partial

3. Consider the series 23:1 31;. We want to know if the series converges. a. Use the ratio test. What does it tell you? Show all your work, and state your conclusion in a sentence. (4 points) b. Now show the convergence or divergence of the series using one of our other tests. Show all your work, and state your conclusion in a sentence. {4 points)

Integrate the function (x2 + y ) ? over the region E that is bounded by the xy plane below and above by the paraboloid 8 - 5x2 - 5y- using cylindrical coordinates. caviar = [ ] [ G(zr,0) dzarde where A = B = , C= , D = E = F = and G(z, r, 0) = The value of the integral is

.. ................................................ Find the particular solution that satisfies the differential equation and the initial condition. f'(x) = 36x3- 4x; f(1) = 7 f ( x ) Need Help? Read It Master It

If anyone can help, please do so and thank you! Questions 1. Determine the scalar equation (Ax + By + Cz + D = 0) of a plane through the point (4, 1, 2) and having normal vector , = (3, -2, 2). 2. Find the scalar equation of the plane through the points Q(2, 3, -1), R(-1, 5, 2) and S(4, 2, 2). 3. A plane contains the point (1, 1, 4) and is

Select the FIRST correct reason why the given series diverges. A. Diverges because the terms don't have limit zero B. Divergent geometric series C. Divergent p series D. Integral test E. Comparison with a divergent p series F. Diverges by limit comparison test G. Diverges by alternating series test Comparison test: Suppose there is a fixed number

Use the label to match the information requested under "term" to the appropriate answer under "definition" NDC 0149-9735-15 LIST 73515 5 mg/ml Furadantin' (nitrofurantoin) oral suspension URINARY TRACT ANTIBACTERIAL 60 ml CAUTION: Federal law prohibits dispensing without prescription. Norwich Eaton Term Definition (A) Route No Definition Chosen

Solve the system by the method of subsitution x y = 1 0 x 2 y = 4

Calculus 1. List the open interval(s) on which f is concave upward. For credit your interval(s) must be as large as possible. Answer (in interval notation): 2. List the open interval(s) on which f is concave downward. For credit your interval(s) must be as large as possible. Answer (in interval notation): 3. List the points of inflection. List

Approximate the area under the curve by evaluating the function at the left-hand endpoints of the subintervals. x) : 16 7 X2 from X : 1 tox : 3', 4 suhintervals S Neeauelp? 5. [116.66 Points] HARMATHAP12 13.1.037. MV NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose the presence of phosphates in Certain waste products dumped into a lake promotes the

Which binomial is a factor of x34x2x4 Select one O a. x2 O b. x4 O c. x2 O d. x 4

In a certain memory experiement, subject A is able to memorize words at a rate given by m'(t) = 0.007t 2 + 0.2t . In the same memory experiment, subject B is able to memorize at the same rate given by M'(t) = 0.004t 2 + 0.2t. how many more words does subject B memorize from t = 0 to t = 14 (during the first 14 minutes)? round to the nearest word.

A rectangle has a perimeter of 20 m. Let x m be the length of one side. Find a formula for the area A of the rectangle in terms of x. Hence find the maximum area A.

Find x and y-intercepts, roots and graph these equations and show your work fx=2x^4+2x^3-12^2 gx=9x^3+27x^2-4+12

Locate the focai points of the parabola y = x^2 in R2

Help please! With explanation 13x + 2500 The average cost for a company to produce x units of a product is given by the function A(x) = Use A (x) to estimate the change in average cost as production goes from X 250 units to 251 units. The change in average cost is approximately dollars

How many different 7-letter words can be made a. if the first letter must be B, W, P, or N and no letter may be repeated? b. if repeats are allowed (but the first letter is B, W, P, or N)? c. How many of the 7-letter words (starting with B, W, P, or N) with no repeats end in H? a. If the first letter must be B, W, P, or N, and all the letters in

CO y mymastering che X y! course hero - Val x y! d21 windsor logir x Course Hero x |W Announcements * W Assignment 4 - [ x m University of Win x m University of Win X + - X C & https://uwindsor-math.mobius.cloud/modules/unproctoredTest.QuestionSheet 25x2 - 158x - 14 - 10x Find the limit, if it exists: (Do not use L'Hospital's rule) lim 20-> - 00

Find an equation for f(x) using the cosecant function. f(x) f(x) 10 2 2 8 9 4 2 KIN x 2 2 21 2 2 KIN 1 4 6 00 8

Calculus 2 Chapter 8.7 Numerical Integration. 1. f(x) = sin(x) from x= 0 to pi with n = 6 2. (a) f(x) = ln(x) from x= 1 to 5 with n = 4. (b) How large should n be so that the error is less than 0.00001?

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Find the intercepts. State your answer using ordered pairs. x 2 + y = 1 6

1. [-/16.66 Points] DETAILS HARMATHAP12 13.1.001.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) and evaluating the function at the right-hand endpoints of the subintervals. (See Example 1.) f(x) = 8x - x2 from x = 5 to x =

Please show how you solve this problem for vector calculus. Please do number 4 PART A AND B :) refrences: Multivariable Calculus; 6th edition; McCallum, Hughes-Hallett, Gleason, et al.; Wiley. Last Name: First Name:. Section 22 4a. Evaluate: 2x2 (ex-mi, 22 2,2 (In(kx-mt)) b. If g(x, y) = sin(xy)e* , find g xy and g yy

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3. [-/8 Points] DETAILS MY NOTES ASK YOUR TEACHER Determine general antiderivatives for each of the following functions (use capital C as the integration constant), a. f ( x ) =- x3 x4-5 F ( X ) = a+bt2 b. r(t ) = V 3 at+ bt 3 R (t ) = c. g(x) = (In(x) ) 2 X G( X) = d. s(0)=sec2(0) tan3(0) S ( 0 ) = Submit

Find r(t) if r '(t) = 4+3 i + 6t5 j + v t k and r(1) = i + j. + + k Need Help? Read It Master It

4. Find the domain of the function f ( x ) = ( 3 x 5 ) / ( x 2 3 x 4 0 ) 5. Find the exact solutions and it might be complex: x 2 + 5 x + 17 = 0 6. Given f ( x ) = x + 11 and g ( x ) = -2x 2 + 4, find the composite function g(f(x)) and simplify 7. For the function f ( x ) = x 2 - 7 x - 5, find the vertex.

Question 24 Find a power series representation: f(:c) = ln(5 7:). Selected Answer: . Answers: i a: n5" Question 25 on (_ 1)n7r2n+1 Find the sum of the series: 21 ":0 (2n + 1)!4 "Jr Selected Answer: 2 Answers: 2 3

Find the second derivative for each of the following. a . f(x) = 13x4 - 7x3 + 5x2 + 11x + 75 b . f (x) = (x3 + 2x2 + 4)(x4-3) C. f(x) = (4x3 - 7x)? d. 12 = y2 + x2 2 . The distance travelled by an object is given by the equation 20t d(t) = = 1+ x2, t20. a. What is the speed of the object at 1s, 2s, and 3s? b . When does the speed reaches 8 m/s? 3.

56. Match the polar equations with the graphs labeled I-IX. Give reasons for your choices. (a) r = cos 30 (b) r = In0, 10

3 Find Ay and f(x)Ax for y f(x) 7x, x 5, and Ax0.04. Ay (Round to four decimal places as needed.) f(x)Ax (Round to two decimal places as needed.)

Find the absolute minimum and absolute maximum values of f on the given interval. f ( x ) = ln( x 2 + 5 x + 8),[3, 3]

Question 1 Find the extreme values of the function f(x,y) = 3x + y subject to the constraint x2 + y2 = 10. Question 3 1 pts Solve the Lagrange multipliers problem you described above, or solve the following problem instead: nd the extreme values of flame} = my: subject to the constraint 2x: + 23:: + K'f = 12

Why does cos(55pi/6) is equal to cos(7pi/6)? How do you convert that? please explain.

A company's revenue and cost in dollars are given by R = 225Q and C = 25Q + 120,000, where Q is the number of items. What is the Fixed Cost of Production? Find the number of items that must be produced to break-even. How much profit will the company make if it produces 150% of the breakeven quantity?

Answer the following questions about the function whose derivative is given below. a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum or minimum values? f' (x) = (8 sin x - 8) (2 cos x + 13 ), OsXs 21 . . . a. What are the critical points of f?

41 thx in measurement of 0.1 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in computing (a) the volume of the cube and (b) the surface area of the cube

Fill - in - the - blank. Write each statement, filling in the blank with the appropriate word that best completes each statement. 17. Exponential and logarithmic functions are functions. 18. The domain of f (x) = a" for a > 0 is the set of 19. A base 10 logarithm is a(n) logarithm. 20. A base e logarithm is a(n) logarithm. 21. The y - axis is a(n)

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1 21742 interval [3, 7] using five approximating rectangles and right endpoints. overthe Estimate the area under the graph of f (33) = Report answers accurate to 4 places. Remember not to round too early in your calculations

How can I solve this MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the given curves to do the following. x = 14\y, x = 0, y = 1 Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. 1 = Sketch the region and a typical shell. (Do this on paper. Your

I need help with questions 47-51. How do I know when a graph is continuous? 45. Determine whether each of the functions shown in Exercise 47-51 is continuous over the interval ( - 6, 6). * 48. 47. -5-4-3-2-1 7/34 5 xaimoe -5/4-3-2-1 y = 8 (x) 4 49. YA X 50. y = h(x) 3 way= k(x) -5-4-3-2- 123 4 5 -5-4-3-2-1 1 2 3 51. YA N W y = t(x)- -3-2- 1 2 3 4

Find the consumers' surplus and the producers' surplus at the equilibrium price level for the given supply and demand equations. The demand and the supply function for a product are as follows Demand: p = 975 23x and Supplv: p = 42x. Once vou arrive at a number for the consumers' and producers surplus. interpret what the number means. Show your

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i need help to solve this question

Help az az Use the chain rule to find and as at z = ecos(0), r = st, 0 = \ $6 + +6 az = as az at

1) V is the volume of a cube with edge length x and the cube expands as time passes. a) write an equation with amounts V and x . . . dV dx b t -- ) WI'l e an equation w1th rates (it and dt . dx . dV f :4 d _ : ' c)i x an [ dim 2 find dt 2) A circle with radius r has area A, and the circle expands as time passes. a) write an equation with amounts A

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10 Determine the interval(s) over which the function f(x) = 9cosx x - 15 is continuous by using the properties of combinations of continuous functions. O (- 00, 15) U(15, 00) O (0, Do) O (-00, 00) O ( - 9, 9)

A man earned wages of $50,400, received $1400 in interest from a savings account, and contributed $2500 to a tax deferred retirement plan. He was entitled to a personal exemption of $4050 and a standard deduction of $6300. The interest on his home mortgage was $8400, he contributed $2900 to charity, and he paid $1550 in state taxes. Find his gross

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4 MATH 252 WEEK 6 RECITATION ACTIVITY - FALL 2023 (4) Evaluate the following integrals using Integration by Parts. 1 (a) / ratszzdx (Hint: Make use of the fact that 13 : 162-1 and then use either substitution 0 or integration by parts.)

Let's suppose the large arm has a length of 2 meters and rotates clockwise. If we set the central support of the entire ride at the origin, we can describe the end of the arm, at time t seconds, using the parametric equations x z 23in (t), y : 2cos (it) Let's suppose the spokes have a length of 1 meter. in relation to the spoke support, we can

l . A rocket IS launched from the top of a 9-ft platform. Its initial velocity is 152 ft per sec. It is launched at an angle of 60 with respect to the ground. (a) Find the rectangular equation that models its path. What type of path does the rocket follow? ' (b) Determine the total ight time and the horizontal distance the rocket travels. l | M_m

Question 1 (Essay Worth 30 points) (01.03 HC) x12 Let the the function given by f(x)= . x2 25x + 156 Part A: Graph the function f using graphing technology. What is an appropriate horizontal scale and vertical scale for the viewing window? (5 points) Part B: Find 111'") or explain why 3216'") does not exist for each of the values 0 = 12, 13, and

6.' Given the following information about the graph ofy = f(x): lit? f(x) = 5, lim f(x) = 5 and x> _ x>S+ f(5) = 2. Explain whether the function is continuous or discontinuous and how you know. 7. Find the coordinates of the point on the curve f(x) = 3x2 4x where the tangent is parallel to the liney = 2x 5. 8. Explain in your own words how average

PROBLEM 3 (P7) Let n be a positive odd integer and let f: R - R be given by f(x) = x". Find all points where f is increasing or decreasing, where f is concave up or concave down, the critical points of f, the inflection points of f, and where f has local extrema

This exercise actually requires you to "build" some of the method. Feel free to use a graphing calculator to help with this exercise. Let f(z) = ' + 1x- + 11x - 1492 A solution to f(c) - 0 can be found in the interval (Enter a pair of consecutive integers m, M where a solution is guaranteed to exist in the interval m

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3. Evaluate lim 2x2-3x-3 x-1 x3+4 7. Evaluate lim x +8x+15 x- -3 x2+x-6

1. Given lim f (x) 2 a. Compute lim(3f(x) g(x)) b. Compute lim ((f(x)) g(x) 2x and lim g(x) 1

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Consider the point. (4, 5, 6) (a) What is the projection of the point on the xy-plane? (b) What is the projection of the point on the yz-plane? (c) What is the projection of the point on the xz-plane? (d) Draw a rectangular box with the origin and (4, 5, 6) as opposite vertices and with its faces parallel to the coordinate planes. Label all

MTH 200 - Weekly Check in Assignment Week 3 Find and classify all critical points and points of inflection. Use the information obtained to sketch a reasonable graph of the function. _f[.v]=1'l 9.":2 I 24x 14

Consider the function f(s:) = m3 + 4.51:2 12w 2. a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (3), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (9:, y)). D (Separate multiple answers by

5. 92x dx 6. Stan(2x5) dx 7. 5x4 dx 8. S 9. 1 9x 16 dx S 7 254x2 dx

f0!) = v . . - - 5 1. Determine the equations of the vertical and horizontal asymptotes of the graph of the function Y 2. Find the domain of the function and identify any vertical and horizontal asymptotes. -. Zx' x+3 fix) = , _ 8 .f(r.)= 1" 2664. 3. Determine the equations of any horizontal and vertical asymptotes of 4. Find the vertical and

Please see my attached work. I have indicated what my wrong answer was and what the correct answer is. I do not see where I made a mistake. Problem: Suppose the demand for a certain brand of a product is given by D(p)= p^2/216 + 500, where p is the price in dollars. If the price, in terms of the cost c, is expressed as p(c)= 3c9, find the demand

Help please The half-life of radium is 1690 years. If 60 grams are present now, how much will be present in 170 years

9 ) Let an be an arithmetic sequence where as = 82 and ag= 64. Find an expression for an. 10 ) Let an be an arithmetic sequence where as = 16 and a12 = 24.5. Find an expression for an. 11) use the graphs below to write an expression to find the with term of each sequence, then use it to find the value of ano for each. 60 (5. 48) (4, 24) term (1.

Let D be the solid region in the second octant ( x

Let D be the solid region in the second octant ( x SO , y 20 , ) , bounded by the plane x FY z l and the coordinate planes. a) 4pts) On your scratch paper, draw a welllabeled, 3dimensional diagram of the solid region, D Clearly label all intercepts with the coordinate axes and the plane x Y I Shade the solid region, D b) 4pts On your scratch

The sales tax revenue for a certain town is increasing for 8 years, but not at a constant rate. For the first 4 years, the rate of growth is increasing. During the second half of the interval, the sales tax revenue grows at decreasing rates. Which of the following graphs is a consistent representation for the sales tax revenue as a function of

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1. For each of the following sets of three planes, determine (by inspection) which diagram describes the intersection of the planes. Give a brief explanation for your selection. [10 marks - 2 marks each] [ m: x+2y+3:-4=0 a) a. #2: 3x+ 6y+9z-12 =0 *3: 5x + 10y+15: -20 = 0 b) b. m: x+2y+3:-4=0 72: 3x +6y+92-11=0 #3: 5x +10y+15=-16 =0 C. *1:

Find dy/dx. When solving can you please replace lebeniz notation with just y'. And explain each step.thanks ky e Sin (Xty

rk 8.7 Question 5, 8.7.23 K Express the given sum or difference as a product of 70 130 COS 2 COS 2 70 130 COS 2 COS 2 (Simplify your answer, including any radicals. Use inHW Score: 77.78%, 7 of 9 8.7 Question 9, 8.6.77 points O Points: 0 of 1 Save Solve the equation in the interval 0 = 0 - 2x sin (40) - sin (20) =0 Select the correct choice below

sin x (a) Find the second-order Taylor polynomial P2(x) for the function about x = 0. x Hint: Use the whole Taylor series of sin x. sin x (b) If R2(x) = - P2(x) is the remainder of the second-order Taylor polynomial X sin x P2(x) of show that 0

Two cars leave an intersection at the same time, one headed west and the other north. The westbound car is moving at 40 mph and the northbound car is moving at 50 mph. Fifteen minutes later, what is the rate of change in the perimeter of the right triangle created using the two cars and the inter

For a dosage of x cubic centimeters (cc) of a certain drug, assume that the resulting blood pressure B is approximated by B(x) = 0.05x--0.3x. Find the dosage at which the resulting blood pressure is maximized. Round to two decimal places O A. 0.17 cc O B. 0.25 CC C. 0.09 cc OD. 0.11 cc

the terminal side of the angle theta in the standard position lies on the line y=-9x in quadrant II. Find the exact value of sin, cos, and tan

Find the equation of the line tangent to the curve 2(x2 + 32) 2 = 25(12 - 32) at the point (-3, -1). When the equation of this tangent line is written in the form y = ma + b, m= b=

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Question 27 of 30 Find g, f g, fg, and . Determine the domain for each function. This question 1 point(s) the corre choice below and, if necessam fill in he answer box to complete your choice. What is the domain off g C) R The domainoffgisa

Find the minimum value of the function subject to the given constraint. f(m,y) : 15m2 +4y2, 53483}: 5 fmz'n

Find the minimum value of the function subject to the given constraint. f (c, y) 15c2 4y2 min 5c 8y 5

For what values of x does the series converge absolutely? 00 [ (-1) (Gx + 4) 0 . 7 sxe.5 0 . 5 x X X - 7 O

mylab.pearson.com/Student/PlayerTest.aspx?wl access_status-opted in 2023SP Calculus II (MATH-2414-42301) Question 13 of 20 This test. 20 portion Test: Final Exam MML This question. I points Use an appropriate test to determine whether the following series converges. Question list K Question o K= 1 VK5 Question 7 Select the correct choice below and

Regard y as the independent variable and x as the dependent variable and use implicit differentiation to find dx dy x5 y2 - x y + 5xy3 = 0 dx dy

The growth of the number of students taking at least one online course can be approximated by a logistic function with k = 0.0491 , where t is the number of years since 2002. In 2002 (when t = 0}, the number of students enrolled was 1.684 million. Assume that the number will level out at around 8.2 million students. (a) Find the growth function