(d) Differentiate arctan(3v) arcsin(7v) + v² g(v) = In %3D

Q: 2) dx Ve -1 a) 2 vezr - 1 In (e – 1), c) arctan (e), d) sec-le

A: We need to solve the integral

Q: 1-) dx dx n above is separable.

A:

Q: Find the average rate of change of f(x) = cos x from 0 to π /2 .

A: Given: fx=cosx  0,π2

Q: E Find dy/dx by implicit differentiation. 2 arcsin(xy) = arctan(4x), G. 2) al dy dx %3D Find the…

A:

Q: cosh x dy + (sinh x)y = e-* dx

A:

Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

A:

Q: 1 dx 49 1 42 49 arcsin 7x) - 49 sin 2 arcsin 7x+C (2x) 2 (1 x)) X

A: Given, ∫ x249-x2dx

Q: Find dy/dx if y= tan-1(x/(1-x))

A:

Q: cos s x dx 2. S: Vsin x

A:

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

A:

Q: 3. Evaluate dx. Hence find the value of sinx dx. Va -x)

A:

Q: 1. Find the area under one arch of the curve y = cos- :cosex.

A:

Q: h. y = arcsin sin (4x?) y = e? sin x + In x (arcsin z) with dz = 4 dx i. -

A: Given functions are  y=arc sin sin(4x2) y=ezsinx+|nxarcsinz With dzdx=4

Q: 5 dx, correct +2x²) Problem 19. Evaluate (3 to 4 decimal places

A: ∫0152x2+3dxSubstitute u=2x3→dudx=23→dx=32du=∫532(3u2+3)duSimplify:=523∫1u2+1duWe know that…

Q: cos(48°) Use differential to approximate the value of

A: Cos 48° The nearest value to 48 whose cosine value can be taken is 45.Let us consider :x = 45° and…

Q: Integrate fx cos(4x) dx fa

A:

Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

Q: (1+x° 2) 늪(cot-1 () - d dx 1-x,

A: Solution:To find:ddx cot-1 1+x1-x=?Formula:ddxcot-1x=-11+x2ddxuv=vu'-uv'v2

Q: The approximation of I cos (x²+5) dx using simple Simpson's rule is:

A:

Q: The height of an arch above the ground is given by y = 10 sin sin x , for 0 < x < T. What is the…

A:

Q: y = cos (arcsin væ) + sin ( arccos 2

A:

Q: The slope of the line normal to the graph y = 2 ln(sec x) at x = is: O-1/2 O non-existent O-2 2

A: The graph y=2lnsecx at x=π4

Q: x = -sin 2y x = cos y --

A:

Q: Find the average rate of change of f from 0 toπ/2 . f(x)=sin( x/2)

A: Derivative of a function determines the change of one variable with respect to another variable.…

Q: S) - aresin 2. 2 arcsin 2. is constant for 0sxs 4.

A:

Q: Use this information to evaluate 1 (1- e)| dx %3D x=1 et - 1

A:

Q: Ssin'x cosde 3. Sin'x cos dx

A: Given: ∫ sin3(x)  cos(x) dx We have to evaluate the given integral.

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

A:

Q: 4In(Arctan x) = 1-y

A:

Q: What is the area of the region between the sine curve and the x-axis from to 2 ? -1 2 1 4 3.

A: Here we have to find the area of the region bounded by the sine curve and the x-axis from π2 to 2π.…

Q: QI/ Find dx 少 for Iny=ex).csch"()

A:

Q: arcsin 4y dy 1 – 16y2

A: Given: ∫arcsin4y1-16y2dy

Q: 1 dx (25 – x2)3/2 - Show My Work (Required) ?

A:

Q: Find dy/dx by implicit differentiation. 2 arcsin(xy) 3 arctan(4x), G 2) dy dx Find the slope of the…

A:

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

A:

Q: What is the instantaneous rate of change for α=arctan(2-r/r) at r=0

A:

Q: 8. Using any work found in Question 7, determine the 3x (x? - 5)° dx a.

A:

Q: 6. In(x*y?) %3D х* +уз 7. У- Arccos(e2x)

A: Given In(x3y2)=x2+y3y=cos-1(e2x)we need to find the second derivative of the given equation

Q: xcos( x), sin(x) 8. dx = LHIN

A:

Q: 6. dx = x + 4x + 5 (A) arctan(x + 2) + C (B) arcsin (x + 2) + C (C) In|r*+ + 4x + + C 1 (D) + C x° +…

A: Proceed as shown below...

Q: dy Y - sin sin-* = 0 ソーx || dx 3.

A:

Q: 1. S =dx = -Arcsin x√x²-4x-1 +2 X √5 +c

A:

Q: Find dy/dx in terms of x and y if arcsin (x2y)=xy2

A:

Q: Find the intergral of i. SVīdx ii. (x - 1)dx

A: According to Bartley guidelines I have, to solve only first question so repost the problem for…

Q: (cos x2) dx. Use integration by parts. 1.

A:

Q: ly = In (sin (50)) find dy 14

A:

Q: proximation at z = 0 to sin(4r) is A + Bx where A is:

A:

Q: Sst. sin x (3cos x)dx VZ 3x dx V1-x

A: Given : Two integral equations given

Q: Differentiate y = e® – x² arctan x.

A: