Suppose that f is continuous and that f(z)dz = 0 and f(z)dz = 7. Find | 5f(x)dx. %3D - - 2 - 2 2 ОА. - 5 В. 35 C. - 7 D. - 35 O O

Q: (c) Suppose that ƒ hits every value between y = 0 and y = 1 on the interval [0, 1]. Must ƒ be…

A: A function is continuous when its graph is a single unbroken curve , that you could draw without…

Q: Suppose that f and g are continuous functions such that 3 | f (2) f (x) dæ = 2 and | [2f (2) + g (x)…

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Q: If a continuous RV X follows N(0, 2), find P{1 1}.

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Q: If f is continuous and f(x) dx = -1, find f(2x) dx.

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Q: 8. If f is continuous and f(x) dx 10, find xf(x²) dr. %3D Give proper reasoning.

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Q: Suppose that a continuous function g satisfies: 3 g(x)dx = 6 and | 9(27)dz = 9. 0, | z9(3z*)dz. Find…

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Q: 10 If f is a continuous function and F'(x)=f(x) for all x € R, then x)dx=?

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Q: If f(1) = 2, f(4) = 7, f'(1) = 5, f'(4) 3, and f"(x) is continuous, what is x f"(x) dx? %3D

A: Given: f(1)=2f(4)=7f'(1)=5f'(4)=3I=∫14xf''(x)dx=?

Q: 36 If f is continuous and f(x) dx = 6, find xf(x²) dx.

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Q: 9. If f(5) = 10, f ' is continuous, and f '(x) dx = 15 18, what is the value of f(6)? %3D f(6) =

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Q: 6. If f is continuous and f(x)dx=4 , '3 | xf(x?)dx=

A: Explained below

Q: 2 If f is continuous and f(x) dx = 14, find | xf(x?) dx.

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Q: 4 Suppose that f(1) 3, f(4) = 5, f '(1) = 4, f '(4) = 2, and f " is continuous. Find the value of xf…

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Q: If f is continuous and f(x)dx=4, | xf(x?)dx=

A: We will find the value of the integral as following.

Q: 10 If f is continuous and f(x) dx = -15, evaluate f(5x) dx. %3D

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Q: 81 xf(x²) dx. 6. If f is continuous and f(x) dx = 4, find

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Q: Suppose that f(1) = 4, f(4) = 5, f '(1) = 6, f '(4) = 3, and f " is continuous. Find the value of xf…

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Q: Suppose that a continuous function g satisfies: g(x)dr = 30 and g(2x)dx = 3. 0. 2 Find r9(3x²)dx.

A: Suppose that a continuous function g satisfies: ∫03gxdx=30 and ∫06g2xdx=3. The, we have to find the…

Q: is Continuous and S' fldx=l6, find S xf(x*)a

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Q: 36 6. If f is continuous and f(x) dx = 2, find xf(x²) dx. %3D

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Q: 8. If f is continuous and f(x) dx = 12, find f(2x) dx. 0.

A: Given f is continuous and ∫08f(x)dx=12

Q: Suppose that f (1) = 2 ,f (4) =7, f '(1) = 5, f '(4) = 3and f" is continuous. Find the value of ∫1…

A: Given f1=2f4=7f'1=5f'4=3 f''x is continuous To find value of ∫14xf''xdx

Q: is continuous and g and h are differentiable functions, show that ch(x) d (e f(t)dt f(h(x))h'(x) –…

A: In the given question, the concept of the Fundamental Theorem of Calculus is applied. Fundamental…

Q: Suppose that f(1) = 2, f(4) = 8, f'(1) = 10, f'(4) = -3, and f" is continuous. Find the 4 value of…

A: We have to find the value of the given integral.

Q: Suppose that g and h are continuous functions and that S8(x) dx = 5, h(x)dx =-1, and h(x) dx = 3.…

A: There is no such rule of division of two integral.

Q: 25 If f is continuous and f(x) dx = 12, find xf(x?) dx.

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Q: If f(3) = 15, f' is continuous, and I f'(t) dt = 24, what is the value of f(4)? %3D

A: In this question, f is a primitive function and we have to find f(4). So I am providing the…

Q: For what value of the constant c is the function f continuous on (-∞, +∞)? cz +4 if x ≤ 10 f(x) =…

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Q: '49 If f is continuous and f(x) dx = 18, find | xf(x?) dx.

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Q: Suppose that f(1)=8, f(4)=−4, f′(1)=−3, f′(4)=2, and f′′ is continuous. Find the value of ∫from 1 to…

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Q: If f is continuous and f(x)dx=4, xf(x2)dx=

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Q: 9. If f is continuous and f(x) dx = 14, find f(2x) dx.

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Q: Iff is continuous on [a,b], then [xf(x) dx = x = xf²f(x) A True B) False f(x) dx

A: We will solve the problem

Q: Iff is continuous on [a,b], and f(x) 20 then A True False ر VFX √f(x) dx = dx = √5 F(x f(x) dx

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Q: Find the values of a and b that make f continuous everywhere ー if xcz 2-2 fac)= az²-bz +l, if 23 a =…

A: The objective is to find the values of a and b for which f(x) is continuous everywhere.

Q: If ƒ is continuous on [a, b] and, what can you conclude about ƒ?

A: the integral given to us is ∫ab|f(x)|dx=0

Q: Suppose that f(1) = 5, ƒ(4) = -8, f'(1) = 4, f'(4) = -2, and f" is continuous. Find the value of |…

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Q: If f(1) = 2, f(4) = 7, f'(1) = 5, f'(4) = 3, and f"(x) is continuous, what is xf"(x) dx? %3D %3D

A: In the question it is asked to solve for the initial value integration given in question.

Q: 3. For what value of b, f(x) is continuous at every x? f(x) = {, x -2

A: Given that, fx=x         x<-2bx2      x≥-2

Q: 2 If f is continuous on [0, 2] and f(x) dx = 5, find the value of | f(æ – 2) dæ.

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Q: Suppose that f(x) is continuous and differentiable, f(2) = -2, f(6) = -6, and f(x)dx =-10. Compute ,…

A: Topic:- Functions

Q: (e) If f(x) is continuous at x = 0, then what is the value of n: if 20 if x=0 f(x)=\ 38

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Q: - For what value of b is Sx, bx?, x2 -2 x<-2 х, g(x) = continuous at every x?

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Q: '18 6. If f is continuous and f(x) dx = 16, find f(2x) dx. %3D

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Q: If f(1) = 13, f' is continuous, and f'(t) dt = 28, what is the value of f(4)?

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Q: 4 '2 If f is continuous and f(x) dx = 10, find | F(2x) dx. %3D

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Q: If f(2) = 14, f' is continuous, and f'(t)dt = 23, what is the value of f(5)=? %3D

A: Given :

Q: Suppose that f (1) = 2, ƒ (4) = 7, f' (1) = 5, f' (4) = 3, and f" is continuous. Find the value of…

A: Given data: f(1)=2 f(2)=4 f'(1)=5 f'(4)=3 The objective is to find the value of ∫14xf''(x)dx Apply…

Q: .3 Suppose that f is a continuous function and that f(x) dx = 6. Find f(3x)dx.

A: