Determine whether the series is convergent or divergent by expressing the nth partial sum s, as a telescoping sum. If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: By using the cylindrical shells method we have to find the volume.

Q: The graphs show the position s, velocity v = ds/dt, and acceleration a = d²s/dt2 of a body moving…

A: The graphs show the position s, velocity v=dsdt, and acceleration a=d2sdt2 of a body moving along a…

Q: (7) If 4.5* = 97, an approximate value of x is (A)x = log(97) × 1.987 (C) x = In(97) z 4.575 (B)x =…

A: 7.    4.5x=97 Note:      Multiple questions are given, we are answer with only one question. if you…

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: if x 2

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A: We have to solve the differential equation: y'tanx+y=3sinx

Q: Please use definite integral in solving for the area. a. y = Vĩ and y = x3

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Q: does ln(inf)/(inf)=0

A: the statement is false see below the explanation

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Q: If f(3) = 15, f' is continuous, and I f'(t) dt = 24, what is the value of f(4)? %3D

A: In this question, f is a primitive function and we have to find f(4). So I am providing the…

Q: 3) consider the regionnin the second quadrant betueer the circles x?+yZ=4andx2+y2=25, and above the…

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Q: x + 20 g(x) = { 3Cx + K if – 2 < x За — 2K if x < -2 | if 1 < x -

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: 3 3. Vxydydx Vxdx Vydy Select one: True O False

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Q: 9. Given arbitrary matrices A, BE RXn with n> 1, select the c of A and B). 1. tr(AB) = tr(A)tr(B) 2.…

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Q: Find the indicated derivative. f (x) = (x³ – 5x + 2)(x² + x – 7); find f"(x). %3D

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Q: 3.) Find the area bounded by the curve y = 2x and y =x-4 a.) Using Vertical strips b.) Using…

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Q: II. Matching Type: Match the definite integral in column A with its value in column B. Letters only.…

A: 11. ∫022x-3dx12. ∫-11x3+2xdx13. ∫03x2-2dx

Q: Q5/Find the Laplace Transform -3 4- f(t) = V2t E) = va Where r %3D

A: To find the Laplace transform of given function.

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A: We have to determine area of bounded

Q: 17. (Vx-x)dx (1-x²) dr 18. 19 o. Sy² dy 20.

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Q: True or False, If f' (3) = f" (3) = 0. then I 3 MUST be an inflection point. (Remember = to give…

A: It is given that, f'(3)=f''(3)=0 then x = 3 must be an inflection point.

Q: sec (In x)dx

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Q: 1.) Find the area bounded by the region x = 4y + 4 and y= x+ 2

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Q: 3 (x + h)³ – a³ lim h0 h

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Q: Consider the function f(x) = 5x³ 8x2 + 5x – 3. An antiderivative of f(x) is F(x) = Ax* + Bæ³ + Cx² +…

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Q: a. Graph the function f(0) = 6 sin(0). 6- 4 -/2 3/2 -2 -4 -6 -8+ Clear All Draw: W b. Graph the…

A: We want to plot the graph.

Q: 开3 Estimate the area under the graph of f(x)= 3x 3. between x= 0 and x =1 using each finite…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

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A: We have to find limx→∞ e4x-7e2x1-e4x.

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A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 3.12 Еxpress lim n00 n k3D cos 1+ as an integral. (Be sure to include the lower and upper limits|of…

A: Given: limn→∞ 2n∑k=1ncos1+2kn To convert this into the integral , use the following method

Q: Question Using Rolle's theorem for the following function, find all valuesc in the given interval…

A: Given query is to find the value of c for the given interval.

Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is  which means the…

Q: Please use definite integral in solving for the area. y = |x| – 2 and the x axis

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Q: Find the curl of the vector fleld F(z, y, 2) = zi+ 8'y=²j+2rk. Enter your answer in standard unit…

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Q: Show that the following are equal using set identities. Provide the correct solution with the name…

A: The left side is: C∩C-B∩C∪A∩B-B∩C-A We first simplify inner parts:  C-B∩C A∩B-B∩C

Q: 5. Suppose that f(n) satisfies the equation 5. f(m + n) = f(m) + f(n) – 2f(mn) for all integer m,n…

A: The objective of the question is computing the value of f(n).

Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: Consider the function f(x) Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

A: NOTE: Refresh your page if you can't see any equations. . F(x) is the antiderivative of f(x). so…