Given: (-3)"(x – 2)" Vn + 2 n=0 7 Use Alternating Series Test to show that the series converges when x =- 3

Q: dy Find da and simplify: y = tan(ev)

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Q: If Y = x I" y = rn then y =? In a In x O None of the above In x In In x x2 27n ln x

A: The given function is y=xlnx We have to find derivative of y Now, rewrite the function:…

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: х, x2, (2 – x, for x 1 Consider f (x) These following statements are true for f (x), except.... 1.…

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Q: Find the area of the shaded region. y y= xV4 x y=0 2 y= 0 -2 SQuare units 21

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: s given by Archimedes be the volume of the object, p the weight density of water, and g the…

A: Follow the procedure given below.

Q: the following statements is IR

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Q: Question If 0 < 0 < 2n and 4sin 0 – 4 = -3, determine the values of 0. List your answers as exact…

A: Answer: The solution is as given below:

Q: A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 40°. Mountain…

A: Solution: Given:  ∠DAC = 40°So, ∠BAC = 180° - ∠DAC ∠BAC = 180° - 40°∠BAC =140°

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

A: f(x) =2x3+452x2+21x-2Since f(x) is a polynomialIt is continuous on -4,2It is differentiable on…

Q: 13 4. Consider the function f(x)% = for a 2 (a) Draw a graph of this function on the interval [0,…

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Q: (x² + 2x) cos(2x) dx

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Q: Find all solutions of cos (z2) = %3D (Leave your answers in exact form and enter them as a…

A: Solution of cos(x)=cos(y) isx=2kπ±y

Q: -1x) dx

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Q: # f(x) = (2 )2 what is f'(-2)7 If f(x) = 2-2х 2 2x+2 %3D

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Q: A solid right cylindrical cement block of volume 9n ft is to be made, and then painted except for…

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Q: 570 8. The demand function of an electronics company’s car stereo is p(x) = 2х +7 Find the consumer…

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Q: Find the sum of the convergent series below. Show complete solution

A: This question is related to infinite series, we will solve it using given information.

Q: 13 with A in Quadrant III, and cos(B) 85 8 with B in Quadrant I. Find cos(A+B). 17 You are given…

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Q: Using terms like "secant line" and "tangent line", explain how evaluating f(3+ h) – f(3) lim gives…

A: This is a problem related to derivation of the general formula of differentiation.

Q: CONVERGENT

A: We have to choose the correct option from the given options according to the given information

Q: state whether Converges diverges

A: To state whether the given series converges/diverges. ∑n=1+∞-1nnnsinn1n2n

Q: 23 – x2 + 2x – 2 dx x2 (x2 – 2x + 2)

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Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. r = cos“ 2

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Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X-00 f(x) = -x° + x +x…

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Q: 2.

A: Explained below

Q: The general solution for the homogeneous differential equation y(5) – 2y(4) + 2y - 4y" +y - 2y = 0…

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Q: sech³(2x) sech (2x) C. OD. + e2+e-2r 3 10

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Q: There is a terribly designed set of stairs. It is not possible for you to step from one step to the…

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Q: Solve the following equation. (x+4)2+11(x+4)+30=0 List your answers separated by a comma. For…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Solved below

Q: 2. Evaluate the definite integral. 4 *7 – 7sin²e do 3cos?e

A: I=∫0π47-7sin2θ3 cos2θ dθ1-sin2θ= cos2θI=73∫0π4 1-sin2θcos2θdθI=73 ∫0π41 dθ

Q: Consider the function f(x, y) = 3x² – 4y² subject to the condition x? + y? = 36. Use Lagrange…

A: Here, the given function is: f(x,y)=3x2-4y2 subject to the constrain g(x,y):x2+y2-36=0...(1)

Q: Evaluate the double integral using polar coordinates. R is the region in the first quadrant bounded…

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Q: 8x2 – 5 dx (2 — 1)(4г2 + 1) 6х —

A: To sove the following integration by using partial fractions.∫6x-8x2-52x-14x2+1 dx

Q: Given that z=5cos ( 3x+ 3ct) +e*+ª. Which ONE of the following statements is TRUE? O A. d2z dx2 O B.…

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Q: x2 dx (x² – 25)5/2

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Q: 3. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. x =1+3t²,…

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Q: Use upper and lower sums to approximate the area of the region using the given number of…

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Q: Find the area A. Round the answer to three decimal places. 15) A 4 7 cm 2.

A: Explained below

Q: Use Gauss-Jordan elimination to solve the system 5x + 7y = -11 2.x + y = 1 Make sure you create the…

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Q: #12: use the definition of the derivative to calculate the derivative of f(x)=9x^2

A: Definition of derivative for a function f(x) is given by f'(x)=limh→0fx+h-fxh

Q: bx2 ) e x2c +d X. dx

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Q: Question A street light is at the top of a pole that has a height of 20 ft . A woman 4 ft tall walks…

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Q: Evaluate the integral. (2 - 8v3 + 16v7) dv

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Q: 2. Determine all critical points for the following. Identify the maxima/minima. 2/3 a) y = 6x - 4x +…

A: A critical point is a point in the domain of function where function is either non differentiable or…

Q: The acceleration function (in m/s?) and the initial velocity are given for a particle moving along a…

A: We have to find value of v(t) and x(t)

Q: tan-(n) Consider the series 1+n² n=1 Using integral test, show that the series is convergent

A: The summation of tan-1(n) /(1+n2) ,n from 1 to infinity.