8 8 Suppose that f and g are continuous and that f(x) dx = -2 and g(x) dx = 8. Find [[4f(x) 4 OA. 24 OB. 12 OC. 30 OD. O 8 S[4f(x) + g(x)] dx. 4 ...

Q: 3. Which one of the following statements is CORRECT? A. ff(x) dx + f(x) dx = 0 B. ff(x) dx-f(x) dx =…

A: These statements are related to properties of integration. Here, We will use some integration…

Q: If f(x) is continuous on (-10,-3)such that, -10 -3 -10 I f(x) dx= 35; f(x)dx=71 find f(x)dx -5 -5 -3

A: In this question give that f(x) is a continuous function (-10,-3) find value of integration. Here i…

Q: 7 3 Suppose that f and g are continuous and that f(x)dx = - 3 and g(x)dx = 9. Find (g(x) - f(x)] dx.…

A: Given: ∫37f(x)dx=-3 ; ∫37g(x)dx=9To find the value of ∫37 g(x)-f(x) dx=?

Q: Suppose that a continuous function g satisfies: | 9(2)de = 12 and | 9(20)da = 24. Find og(3x²)dx.

A: Given that, ∫03gxdx=12, ∫06g2xdx=24 Let  ∫06g2xdx=24 Apply the substitution u = 2x to find this…

Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

Q: At what points is the function is continuous y=|2x-1| +4sin(2x)

A:

Q: 3. Find a value of b so that the function x 1 f(x) = is continuous on (-0, 0).

A: A function is said to be continuous if Left Hand limit = Right Hand limit = f(a) In this question,…

Q: T F r3 If * f(2) dr = 2, then 7 c4 3 f(x) + 4 dx = 12.

A: Given query is to find statement is true or false.

Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

A:

Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

A:

Q: . A function f(x) has the following properties: (=) de = 4, f(2)dz = 6, f(2)dz S r(2) dz = -2, […

A: a) We divide the integral into three subintegrals

Q: 6. 6. 6 Suppose thatf and g are continuous and that f(x)dx = - 6 and g(x)dx = 8. Find [f(x) – 5g(x)]…

A:

Q: 2. Let g(x) = [x]. Find: 2.a g ¹({0}) 2.b g¹({-1,0,1}) 2.c g ¹({x 10 < x < 1}).

A:

Q: -5 -5 1 [ f(x) dx = 3, •[ 9(x)dx = 5 6 -6 Let f and g be continuous functions. If

A:

Q: (x+3)³ 4(х — 1)2 12 16 f (x) Consider the function 11 + 4. Note that %3D 4 x - 1 (x – 1)2 (x – 9)(x…

A:

Q: b. Find c that will make the following function continuous at x = (x³ – x - 2 if x 1 - -2x

A:

Q: -2(x²- c) x<2 For what values of c and d the function g(x)= d. x = 2 is continuous at x=2? x22 C = d…

A:

Q: s (x2 + y)dx − xdy =

A:

Q: 2. Given the function f defined by f(x) = 2x + 3x - 1, find: a. f(0) b. f(1/2) c. f(-3) d. f(3 - x')…

A: f(x) = 2x2+3x-1

Q: Determine c and d so that f(x) is continuous if 1 x2 + c x + d x -2 C = II

A: Given query is to find the value of c and d.