Ify arctan (in x), find dx/dy at x = 1/e A B) e/2 e/3 D.

Q: Evaluate 112² (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32)

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Q: Evaluate 1cos ax dx and 1sin ax dx, where a is a constant.

A: We know that, ∫cosθdθ=sinθ+C           ⋯⋯1∫sinθdθ=-cosθ+C     ⋯⋯2 (a) We have, I=∫cosaxdx Let us…

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: arc on y = x312 from (0, 0) to (4, 8)

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Q: Evaluate dy/dx at x = 2.5, correct to 3 significant figures, given y= (2x^2+3)/In 2x

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Q: Evaluate | (2x - y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 32)

A: Follow the procedure given below.

Q: Evaluate [12x. (2x - y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 32)

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Q: Let y tan 1)2x then dy/dx at x-1 is

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Q: Find the total differential, given: (b) \theta = arctan (y/x)

A: Let us consider the function z=f(x,y)  The partials derivative are obtained as…

Q: Evaluate (2х — у) dx + (х + 3у) dy. Jc C: arc on y = x>1² from (0, 0) to (4, 8)

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Q: If y = ln(tanhx), find dy/dx.

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Q: The antiderivative of ∫ 1 / √(1 − x2)  dx can be either arcsin x + C or −arccos x + C. Does this…

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Q: Find the exact arc length of the curve r = e from 0 = ln 2 to 0 = ln 8.

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Q: Find the arc length of the graph of y = ln(cos x) from x = 0 to x =π/ 3 ?

A: y=ln(cos x) from x=0 to x=π3

Q: 23. Lx? sin y dy dx

A: Given: ∫-11∫0πx2sinydydx for finding given integral we integrate one by one

Q: If y? In(x) = 5, find dy/dx. dy dx

A: This question is based on differentiation with respect to x.

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 32)

A: This is a problem related to vector calculus. Based on green's theorem we will solve the integral.

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x12 from (0, 0) to (4, 8) 528/5

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Q: 3. Arctany dy

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Q: dy dx a) { In |0* + 1|} „b) arctan (ve2 -1) , c) sec-(0²) – 1

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Q: Evaluate xy dy dx ?

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Q: Figure out these antiderivatives. S dx /1-х2 arctan(x) dx 1+x? ( In(x))* dx 2x

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Q: arsualuate the faltowmg integgal dx 4 Sin?x

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Q: Given tanh(x)+ tanh ¯' (y) = 1, show that, 1- y? 1 – x² dy dx

A: Formula,ddxtanh-1x=11-x2Note- Since multiple questions are asked, I am answering the first question…

Q: Find dy/dx in terms of x and y if arctan(x*y) = y“. dy dr

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Q: I) Find the volume of the solid obtained by rotating the sine function between x -0 and x x about…

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Q: 1 •arccos y Evaluate esin a dxdy.

A: Find the double integral by using order of change of integrals

Q: Find dy Ldx For the following (Jy)' =(In tan x)(x") ( sin x)"

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Q: Find II. | arctan 4t dt

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: Compute the arc length of y = ln(x) – (1/8)x² on 1< < 3

A: Arc length:       Arc length is the distance between two points along a section of the curve.  Let…

Q: Find  the Arc length of the graph of y=Ln(cosx) from x=0 to x=π/4

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Q: IF x = asec'0 and y = atan '0 dy Find at 0 dx 3

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Q: . If y = Arctan sinh e then dy/dx is A. e sech e C. e sinh ex B. e* csch e D. e cosh e

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Q: Grade: 107.5/156 Print Version dy sin(5æ) Find for y dx dy Preview ||

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32)

A: Solution of given question is written in below steps.

Q: Evaluate (2х — у) dx + (х + Зу) dy. C: arc on y = x72 from (0, 0) to (4, 32) 512/7

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Q: Evaluate (2x – y) dx + (x + 3y) dy. C: arc on y = x>12 from (0, 0) to (4, 32)

A: Solution is given below..

Q: dy find the dx +Ince 义 9 = sin In Cl+e)

A: The given problem is solved below in detail.

Q: Find the arc length of y = 3x + 5 on 0 < x < 4

A: Consider the given curve, y=3 x2+5 ,     0≤x≤4

Q: - arctan(e**) dx =? 1+e2kx A) (arctan(e*)In [cos(arctan(e*)| + S In [cos(arctan(e*)da]+ c kekz B)…

A: Let I=∫tan-1ekx1+e2kxdx where tan-1ekx=arctanekx Put tan-1ekx=t…

Q: Find the arc length of the curve y = ln x from x = 1 to x = 2.

A: Given: y=ln x

Q: Evaluate / (2x – y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32) 11760/7 X

A: Explanation of the answer is as follows

Q: Find the arc length of y= x2/8 - ln(x) from x=1 to x=4

A: We find dy/dx of the given function.

Q: Find dy/dx by implicit differentiation. (sin mx + cos my)4 = 74 dy/dx=

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Q: Consider the implicit function. ev = sin (2x) dy in terms of x. dx Determine the formula for dy dx

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Q: Find the arc length of the graph of the function over the given interval.          y = ln x, [1, 5]

A: Given, The function y = ln x in the interval [1, 5].   To find the arclength of the graph of the…

Q: Differentiate y=arccos(e^(3x)) dy/dx=____________

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Q: Give what is asked. Find dy/dx. Show your solution.

A: Simplify the equation and differentiate it.

Q: The integral V1 + dx represents the arc length of which curve (for 0<x<1)?

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Q: The integral V1 + ešx dx represents the arc length of which curve (for 0<x<1) ?

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