If Y=tanx prove that %3D2

Q: Q.2\Prove the Maclaurin series: In(1+ x) = En=1' (-1)"-1x" ,-1<x< 1 . %3D

A: f(x) = ln(1+x)f0(0) = 0f1(x) =f'(x) =11+xf1(0) =1f2(x) =f''(x) =-1(1+x)2f2(0) =-1f3(x) =f'''(x) =2(1...

Q: 9. Given the vector ū =[-2,3,–4] a) Draw the vector. b) Determine a unit vector collinear with ū. y

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Q: A 3 X Y- X Y = 4xソーメニ2findr 3D2 and X"at X =1

A: Using definition of differentiation

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Q: XP If x=Y Vi-y!.find d

A: x =y1-y2 dy/dx = ? now derivate with x dx/dx = (dy/dx)1-y2 - (2y2/21-y2)(dy/dx) 1 = (dy/dx)(1-y2 - 2...

Q: Use the formula for the binomial series: m(m-1)2 + 2! m(m-1).(m-k+1),k + .. (1 + x)" = 1+ mx + ... k...

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Q: 4. Determine whether the planes are between them. 2x – 3y + 4z = 5; x+ 6y + 4z = 3 parallel, perpend...

A: This question can be solved using the concept of angle between two planes.

Q: Find the in ter vals on which f ( Increasing and dec reashng iU concareup and concave down are ? and...

A: Given: y=x2-5x+6 To Find:  To find the intervals on which the function is i Increasing and decreasin...

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Q: solve the given differential equation by seperation oF values. dy y xy+4y-* -9 dx xy-Sy tx-5

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Q: 1. Suppose y is a function of r. Find y' given cot-y+ tan-y. 2022 2. Evaluate liml-++∞ (1

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Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

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Q: y – y = e3t y(0) = 1

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Q: Solve the given initial-value problem. dy + y = In(x), y(1) = 20 dx (x + 2) y(x) = Give the largest ...

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Q: Using the figure shown, find cota (3, - 4) -4/3 4/3 3/4 -3/4

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Q: 1.(Easy) In determining the integrating factor exp(S p(x) dx) for the first-order linear ODE y' + p(...

A: Given,            In determining the integrating factor exp∫pxdx for the first-order linear ODE.    ...

Q: Tutorial Exercise Find the indefinite integral using integration by parts with the given choices of ...

A: As we know that; The Power law; ddxxn=nxn-1 And ∫sinax+bdx=-1acosax+b+C∫cosax+bdx=1asinax+b+C Where,...

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A: differential equation

Q: Question * The derivative of the function y = x(tan¬1(3x))² is:

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A: The given integral is x/(x4+10x2+26).

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Q: A force of 15.2 pounds makes an angle of 30 with the horizontal. Find the horizontal component of th...

A: Given force is 15.2 pounds Given angle is 30° Find the horizontal component of the force.

Q: (2y² + 3x) dx + (2xy) dy = 0 .

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Q: 00 In x dx x4

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Q: 4x 3 4X -e xp

A: To solve the following integral, we use substitution method

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Q: The derivative of the function y = xe(5+sec(2x)) is: y' = [1+ 2x sec(2x) tan(2x)]e(5+see(2x)) y' = [...

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Q: Use the formula for the binomial series: (1+x)™ = 1 + mx + x² + .… + m(m–1) m(m–1).-(m-k+1). k! + .....

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Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: Question : Find the general term of the sequence starting with n=1 . Determine whether the sequence ...

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A: We will check at each point of interval to determine the continuity or discontinuity.

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A: Let's find. 

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A: Increasing function

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Q: Sy*ezdy

A:     ∫ y4ey2dyLet u=y2.=∫ 32euu4du=32·∫ euu4du=32u4eu-∫ 4u3eudu=32u4eu-4u3eu-3u2eu-2euu-euSubstitute ...

Q: Given: C = 10 24° В a = 12 C Find the following item (nearest whole number and degree).

A: Find your answer below 

Q: Let f be a function defined by f (x) : S4 – x?, x + -3 1. Evaluate l1, x = -3 а. ズ→ー3+ lim f(x) b. l...

A: To find out the limits.