Consider f (E) dx x2 f (x) dx where a,b, and c are numbers. What values must a,b, and c have in order for the above equality to hold in general.

Q: Let f (x) = x3 – 3x2 – 1, x 2 2. Find the value of df-1 at the point x = -1 = f (3). dx -

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Q: Determine the value of , f(x)dx given that f(x)dx = 3 and f(x)dx = 8.

A: Question no. 2,Given,           ∫52fxdx=3 and ∫59fxdx=8To find : Determine the value of ∫29fxdx.

Q: If f'(x) =e*- 3 sin (x) und fco) = 4,what fcx)?

A: Topic = Integraion

Q: Suppose f(x) = e**+5x+7. Find the df derivative dx f'(x) =

A: We have to find

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Q: Compute the derivative: d 4 dx x2 5 x=1 The derivative is:

A: The solution of the problem is given in the next step.

Q: What is the first derivative with respect to x of f(x) = (x² – 4) (3x – 2)? a. (2x)(3) b. 6х (x + 2)…

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Q: Evaluate f(x) dx, where f(x) = 13 sin(x), 0< x < T. f(x) dx =

A: The solution is given as

Q: 1 dx = +C (x+1)² X+1

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Q: 2 Evaluate f(x) dx, given that f(x) dx = 6.

A: ∫abf(x)dx=-∫baf(x) dx

Q: If  f is continuous and  ∫04 f(x)  dx  =10 find∫02f (2x)  dx,

A: Given:

Q: if f'f′ is the derivativeof ff with 2∫1f'(x)dx=10∫12f′(x)dx=10 and f(2)=4,f(2)=4, then f(1)

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Q: For what value of the constant c is the function f continuous on (-o, co)? ( cx2 + 8x if x < 3 f(x)…

A: Given: For what value of the constant c is the function f continuous on (-infinity, infinity)

Q: Find an expression for the derivative of h(x)=ln(f(x)). answer in terms of f and f'.

A: The given function is  h(x) = ln(f(x))

Q: If f is continuous and f(x) dx = 2, find xf(x²) dx. Need Help? Read It

A: We Definite integral properties by using substitution method

Q: If f (x) is odd and f (x) dx = 3, find f (x) dx. f (x) dx

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Q: Differentiate the function In e* 8.) y = ex 7.) f(x) = e** – In :

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Q: Find the second derivative. 1 h(x) = x2 %3D | h"(x) = %3D

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

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Q: If f is an even function, why is S", f(x) dx = 2 f“ f(x) dx?

A: A function is said to be even if f-x=fx   We have to prove  ∫-aafx dx=2∫0afx dx   Consider left hand…

Q: Differentiate the expression with respect to x, assuming that y = f (x). ey/x

A: Given, y=eyx

Q: Find f(x), if f(x)=f(x)+ƒ f(x) dx, given that f(0) = 1.

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Q: if f (x) =x2- arc csc x², which of the following is equal to f '(x)? (A 2x – xV-1 B 2x+ x4- 1 2x…

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Q: Compute d/dx f ( g (x)), where f (x) = x4 - x2, g (x) = x2 - 4

A: The symbol ddx is the symbol of the derivative of the function, hence differentiation of the…

Q: If f(1)   =12 , f' is continuous, and ∫14 f'(x) dx  =17 ,what is the value of f(4) ?

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Q: If f(1) = 12, f' is continuous, and f'(x) dx = 17, what is the value of f(4)?

A: topic - definite integration

Q: If f is an odd function, why is S, f(x) dx = 0?

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Q: If f is a positive function and f"(x) < 0 for a < xs b, show that T, < f(x) dx < M,

A: f is a positive function and f''(x)&lt;0 for a≤x≤b This tells us that f is concave down over the…

Q: df If f(x) = e" In x, then, when x 1, is dz nonexistent O 1/e O 2/e e

A: Answer is below

Q: 49 |'xf(x?) dx. If f is continuous and f(x) dx = 16, find

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Q: Assignment: 8 f(x) | Vīdx

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Q: Use the definition of the derivative to determine dx (ax² + bx + c), where a, b, and c are…

A: NOTE: Refresh your page if you can't see any equations. . the definition of derivative is  here we…

Q: Let h(x)=f(x)/g(x), where f(x)=ln(4x^2−3x) and g(x)=3x−1. What is h′(x)?

A: Therefore,

Q: If  f is continuous and  ∫09 f(x)  dx  =4  find∫03 xf (x2)  dx,

A: Given that,

Q: Let f(x) = x² – 4x – 5, x > 2. Find the value of df-1/dx at the point x = 0 = f(5).

A: (f-1(x))' = df-1dx = 1f'(f-1(x))

Q: Use the property | f(x)dx f(x)dx to show that f(x)dx = 0. = 9. By the given property, f(x)dx - |…

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Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: If f(1) = 13, f' is continuous, and F'(x) dx = 18, what is the value of f(6)?

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Q: 2 ,xs2 f(x) dx, where f(x) is denoted by f(x)={ 3x , x>2

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Q: Please show step-by-step solution

A: Let f(x) = ln(ln(x))

Q: (d) Find f'(x) for f(x) = In (e* + e¬x)

A: The solution are next step...

Q: Use the definition of the derivative to find df/dx. f(x) = x/(1-3x)

A: Given, function

Q: ind the derivative of h(x) = %3D 4x2+2

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Q: 2. Determine the following: F +(16x)| dx X5 С. + (16x)a| dx x2 d. [[tan(2x – 5) + 8e-*]dx

A: Given integration

Q: Find f'(x). f(x) = 9x" - 2 ex r'x)=| (Type an exact answer in terms of e.)

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Q: Find the derivative. COSx a) f(x) = In %3D x2-4 4 b) g(x) = Vx + e2x + Tt

A: Given : (a) f(x)=ln(cosxx2−4)

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 2 0 3 01

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Q: If f(x) is even and (f(x) – 8) dx = 8, find f(x) dx.

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Q: If f(1) = 11, f' is continuous, and f(3) = f '(x) dx = 18, what is the value of f(3)?

A: Given

Q: What is the value of f(1) - 168 in x3 Inx dx = f(x) ((1/4) Inx - B) + C? 02 8 8 0 3 1

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