Q1 Assignment: Find (y' or dy ) and (y or dy) for the following functions: .) dx dx² 2. y=(x²+1)(x³ +3) 1² (x-1)² 1. =-

Q: y = secx means where x and sys

A: Given, y=sec-1x

Q: (I+x²)d (l-x²) Vi+

A:

Q: dx = x – b - :Select one

A:

Q: dx (9 – 4.x²)³/2 2,3/2

A: Given: The integral is ∫dx9-4x232. To find: Value of the integral.

Q: S(3 – x) dx 12

A:

Q: dy Ex2: find for the following functions: dx a) y = (x² + 1)5 b) y = [(5-x)(4- 2x)]? c) y = (2x3 –…

A: According to guidelines we should have been able to solve only three subpart of the question

Q: dx (x. + 1) Vx + 3

A: Evaluate I=∫dxx+1x+3

Q: 3. X+1 (tah dx X-1

A:

Q: x?dx V1-x6

A: 1). To evaluate the integral: ∫x2 dx1-x6 Solution: Let substitute t=x3. dtdx=3x2dt3=x2  Substituting…

Q: Differentiate. In x y= 11 y3D dx

A:

Q: find dy. y =2√x/3(1 + √x)

A: we have to find the derivative y=2x3(1+x)

Q: dy cosx + 3y = ,y(1) = 1.017 dx x2

A: Given that  The differential equation is

Q: 1. L,(3x? – 2x³)dx 2. (x? – 1)va dx

A: We will solve the problem.

Q: Order One DE y'-(3tanx)y=1

A: The given differential equation is the linear of the form y' + P(x) y = Q(x) Where, P(x) = -3tanx…

Q: 히 dy Find dx • for the function y = 5X. 히 dx

A:

Q: 5. Determine the average value of f(x) over the interval from x = a to x = b, where a) f (x) = x²; a…

A:

Q: dr Find if r (x) = 9x 2 + 5x – 3. dx

A: Given,            r(x) = 9x2 + 5x - 3

Q: 2) Evaluate: x Inx dx

A:

Q: Calculate the following integrals a) S .3 dx;u = x³ – 1 | Vx3-1 3x b) S dx; u = e3x +1 e3x +1 c) S *…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Differentiate. y= 16/x (16/x) D dx

A: