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: Fina aly for y = 3x V3-x4

A: we have to find dy for given y

Q: (b) y = Vr - 4x Find if (a) dx

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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

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Q: dy 2- Find for the following function: dx А- у%3Dх*. сosx B- y= 2(secx)²

A: Given : A) y = x3·cosxB) y = 2secx2

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

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Q: y = sech 0 (1- In sech 0)

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Q: calculate y" and y"'. y = x−9/5

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: y dx y = 9x+8 Find dx

A: The given function is: y=9x+8   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power Rule:…

Q: find dy. y =2√x/3(1 + √x)

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

Q: Find Y = Coth 1 (x)

A: Given that y=coth-1x find dydx

Q: r=secxcscsx dr/dx=

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Q: Differentiate the function. (2x + 3)5 y = (4x + 1) dy dx

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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

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Q: dy Find for y = x(4x + 3) dx - |3

A: The function is given by y = x4x+313 To evaluate : dydx

Q: 8. (2x° – 3x) dx

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Q: 3. tan x dx

A: Formula: tan2x=sec2x-1

Q: 2. ſ xºcos(4x)dx

A: ∫x0 cos4xdx

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

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Q: Differentiate the function. y = Sint + π Cost

A: To differentiate y=sint+π cost

Q: Evaluate Set 7x cos (6x) dx. Sex cos (6x) dx =

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Q: (2/x)(1/2y) = 1/100 and x = 5 . What is the value of y?

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