Which is the power series representation (a) n! n=0 (b) -1)". (2n)! n=0 2n+1 (c) X-1)* (2n + 1)! n=0 (d) n!

Q: Determine whether the series 11n? + 8n + 32 is n³ + 3n2 – 7n + 1 n=1 convergent or divergent. b)…

A:

Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

A:

Q: Use the direct comparison test to determine if the following series converges or diverges. sin?n Σ…

A: Solve the following

Q: cesin x (sin x + cos x) dx e cos x

A:

Q: Find E( +1)? O 367 418 O 423

A:

Q: Find O 1/10 2/5 O 25/12

A: Follow next step

Q: Let u = cos(r + y), x = 2st +t and y = t – 2s. Use the chain rule theorem to compute du for du and…

A:

Q: If an alternating series is not convergent then it is divergent. Select one: O True O False

A: We can find the answer as below.

Q: 12

A:

Q: 21. A group of 10 women and 6 men must select a four-person committee. How many committees are…

A: Let's find.

Q: An advertising agency spends £x on a newspaper campaign and a further £y promoting its client's…

A: The Multiplier Method of Lagrange We may need to maximize (minimize) a function that is constrained…

Q: y=f(x) A1 АЗ 15 A2 7 A4 10 (figure is NOT to scale) Evaluate the integral below by interpreting it…

A: To evaluate the integral below by interpreting it in terms of areas in the figure.The areas of the…

Q: 7) At the right is the top view of a Chemistry Butiding in UP Diliman. It resembles the famous…

A: The sum of a polygon's internal angles: The following formula is used to determine the sum of…

Q: QUESTION 3 Find a formula for the nth term of the sequence. 1, 4 9' 16 25 (reciprocals of squares…

A:

Q: dy dy if x cos 'y= x+y. Hence find the value of dx if x = 0. dx 4. Find

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +7 1 (?, ?) lim t+\6t2 + 7'5t

A:

Q: 12. Determine the work done by the force, F, in the direction of the displacement, 3. F| = 350N 10…

A:

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: Draw the region and use the washer method of finding the volume of revolution of solids.

Q: Is 3 A m, m being any real number, possible? Explain. [IC]

A: This is a problem related to vector parts. Based on the general formula and concepts we will answer…

Q: Problem 4: Use theorems on limits (limit laws) EXCEPT for the polynomial function rule, to get the…

A:

Q: For the function y f(x) - la + 10: - df at x = 1. dx a. Find f'(1) = b. Find a formula for x =…

A:

Q: Use the product rule to find the derivative of (- 72° – 4x10) (5e² + 4) | Use e^x for e". You do not…

A: This question is related to differentiation, We will solve it using given information.

Q: Use Euler's method to a) compute y(1), where y(x) is the solution of the initial value problem: dy +…

A: Use Euler method

Q: Find i-l O 36 O 16 38

A:

Q: If f(w) (3w), find f'(w). Use exact values. = COS f'(w) =

A: We can find the exact answer as below.

Q: In Exercises 1–8, find the length and direction (when defined) of u X v and v X u. 1. u = 2i – 2j –…

A:

Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cost î + sint j + k.…

A:

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 24 3 4 + 1+…

A: Given query is to find series converges or diverges.

Q: - 9 sin(3x) and f'(0) Given f''(x) f(0) = 1. 3 and Find f(-

A:

Q: 1 6. Find dx. V2x2 –8x+2

A: Solving

Q: 23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

A:

Q: SIXE-A Consider the graph shown to the right 4. lim f(x) X-axis 5. Evaluate lim f(x) X+3" 6. lim…

A:

Q: Express the series using sigma notation. -6m – 3m + 0 + 3m + 6m ...

A: Given -6m-3m+0+3m+6m...

Q: 1. Consider the function f(x) =-2(3x– 3)* + 1. a) State transformations. b) Use TWO of the following…

A:

Q: How to find point of intersection?

A: You have to sketch the graphs using a graphing calculator like this:

Q: A firm estimates that it will sell N units of a product after spending x dollars on advertising,…

A: Given problems:- a) A firm estimates that it will sell N units of a product after spending x on…

Q: Find the Maclaurin series for the given function f(x) = e-6x

A: The maclaurin series is: f(x)=e-6x     ,    f(0)=1f'(x)=-6e-6x     ,    f'(0)=-6(1)=-6f''(x)=36e-6x…

Q: sin can be expanded to: sin 4 COS 2 cos - sin sin 2 O sin 4 sin -cos - + cos –sin 2 4 2 O sin + sin…

A: The detailed solution is given below Thank you

Q: 15 of 19 sin x + cot c Which expression is equivalent to COs x sin x + tan x tan x + csc x O cot x +…

A:

Q: 4. Find the exact value without the use of a calculator. Show all steps. (a) cos(45') cos(15') –…

A:

Q: 5. Evaluate the expression without using a calculator. Sh (a) sin (쓰) (b) cot(-210°) (c) csc(cos-1…

A:

Q: Solve

A:

Q: ider the function f(x) = 3 – 72² on the interval [- 6, 7]. Find the average or mean slope of th cion…

A: We wil use the mean value theorem.

Q: 4. Water is draining from a cylindrical tank at 2.52 L/sec. Assume that the water tank has a…

A: Given: Water is draining at a rate of  2.52L/sec=2520 cm3/sec The water tank has a diameter of 50…

Q: Find the slope of the tangent line to the curve of intersection of the graph of z = 2x2 + 3xy + 2y2…

A: We need to find slope of the tangent line.

Q: Find the area of the region bounded by y = 34(x + 2), x = 2 and the x-axis. %3D Answer:

A: Given query is to find the area under the curve.

Q: Use an appropriate test to determine whether the following series converges. 7 Σ 3 k =1 VK

A:

Q: 3. Determine the exact values of the trigonometric functions using the given unit circle below. (a)…

A:

Q: Use the integral test to determine whether the series converges. Σ 4n - 1 n=1 converges diverges

A:

Q: 5 | (2a3 + 5æ – 4) dæ

A: