If f(x) = x-5 and g(x) = 3x2-1, what is (f° g)(x) ? %3D

Q: 5 If [ f(x) dx = 18, then 5 (f(x) + 4) dx is equal to:

A: Using the properties of Integrals

Q: 10 What is the value of S" F'(x) dx ?

A: Given,            y=Fx         We know that,        ∫abF'xdx=Fb-Fa

Q: (1–3cot.x)² dx cscx

A:

Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: 18. V1+x dx 1-X

A:

Q: If xy + y2 = 1, find the value of d2y/dx2 at the point (0, -1).

A:

Q: If x^3+y^3=2, find the value of d^2y/dx^2 at the point (1,1). the value of d^2y/dx^2 at the point…

A:

Q: (b) d etan(5x) dx (e) dy y = xln(x) (c) dx lx=1 750 étv

A: Derivative wrt x

Q: ƒ (x, y) = ln (√√x²y³) f

A:

Q: The equation (x - 3y)dy = (2y + 4)dx is exact.

A:

Q: 3) S, f(x)dx = 17 and f(x) = 2.4 , find , f(x)dx. %3D

A:

Q: If f f(x) dx = -1 and fo g(æ) dx = 11, find fo [2f(x) + 3g(x)] dx. %3D

A: Topic:- application of integration

Q: 4 Integrate: dx (V36 – x²)'

A:

Q: If f(2) | e'f(t) + e" dx then f(x) is equal to

A:

Q: If fſ f (x)dx = 8, what would f f(x)dx equal?

A: Given, the definite integral gives result 8. Concept - when the limits of integration is changed…

Q: Solve using the method of variation of parameters: y" + 4y = sec X. %3D

A:

Q: Find (a) E (Y/X= 2)

A: Answer: Using the given joint probability function for the random variables X and Y

Q: If x3 + y3 = 2, find the value of at the point (1,1). dx?

A:

Q: f (x) dx 21 and g(x) dx 14, find 3f (x) + 5g(x)] dx.

A: ∫09f(x)dx = 21   ∫09g(x)dx = 14∫093f(x) + 5g(x)dx = ?

Q: (b) Given [f(x)dx = 21 f (x)dx = 29, find the value of S. 25 (x)dx . and

A: ∫102f(x)dx=21∫107f(x)dx=29

Q: If fe F dr = Sc(x - 2y³) dx + (x²y) dy, what is F?

A:

Q: If f(x)dx=2a – 5b, then [f(x) – 2]dx=? a

A:

Q: L V9 – x² dx

A: Given,          ∫039-x2dx

Q: What is the value of dy/dx at x = 4 of the function? x-5 y = 2x+1

A: Given                     y=x-52x+13 we know that…

Q: If y=f(8x²) and f'(8)= -3, find dy dx |x=1

A:

Q: What is the choice of substitution for S e*(1+e*)(1/2) dx?

A: The given integral,        ∫ex1+ex12 dx

Q: Show that dC 1.8x - 1.5 - dx Vx2+0.04 and hence determine the value of x that minimises the cost

A: if for a function f(x) at x=a ,f'(x)=0 then we check for f"(x) if it is positive at x=a , then f(x)…

Q: (e) f(x)=(Vx 3

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If f(x) dx = 3 and f(x) dx = 4 what is the value of %3D 5f(x) dx?

A:

Q: 7) I = fx v-4 dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2 1 f(x) dx = 14, encuentre f(2x) dx.

A:

Q: If | f(x)dx=12, what is the value of f(6- x)dx?

A: Let f(x) be continuous on [a, b] , where a=0 , b=6 Suppose there is a function F(x) such that f(x)…

Q: 1 Find the direct variation equation given y = 2 when x = 5

A: This question is related to direct variation. We will solve this problem by using standard form of…

Q: If f(x)dx=10 and | (x)dx=3, then | f(4 – x)dx=? %3D

A: Given that: ∫-26f(x)dx=10 and ∫26f(x)dx=3

Q: Y"-2y'+2y=e^2x(cosx-3sinx) by using  Variation of parameters

A:

Q: solve d 3 d'y = sin2x dx dx

A:

Q: dx 6) I = v9-

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: Then E(((X + 2Y)'D is equal to:

A:

Q: If fx Inx dx =x²Inx - Sf(x)dx, what is the vahue of S, 4f (x) dx? A) 1 B

A: Given, If ∫xlnxdx=12x2lnx-∫f(x)dx, what is the value of ∫014f(x)dx

Q: What integrating factor should be used to find the solution of the equation ydx + (xy + x- 3y) dy =…

A: Given that: ydx+(xy+x-3y)dy=0

Q: If f (x) | e'f(t) + e" dx then f(x) is equal to

A: Given function is f(x)

Q: Suppose a. ® Г f(x)dx = 36, [ f(x) dx f ' = f(x)dx = 12,

A: The given integral values,    ∫09f(x)dx=36 and ∫79f(x)dx=12

Q: Match the options below: (2ху-Зу) dx+(x^2-х)dy-0

A:

Q: If d²y x = - cost and y=sint then dx2

A:

Q: f(x)dx=10 and | f(x)dx=3, then f(4 – x)dx=?

A: topic - properties of integration

Q: If | f{x)dx=12, what is the value of f(6 – x)dx?

A: The solution is,  ∫06f(6-x) dx =12

Q: x2 — х + 36 dx х3 + 6х

A:

Q: y is inversely proportional to Vx y = 4 when x= 9 Work out an equation connecting y and x.

A: We have to write an equation connecting y and x for the given conditions: y is inversely…

Q: 4. If f f(x)dx= 14 and f (x)dx = 10, find ſ, f(x)dx. Draw a sketch to justify your answer.

A: