13.5 Suppose *** f(x) dx = 2, S 6 11 8.5 f(x) dx = 8.5 * ( 2 f(x) - 4) dx = 11 8.5 √5³ f(a)dx = 4, 6 - 13.5 √1³ f(x) dx = 6.

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Q: Suppose that 2 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: (a) Given that 2≤f'(x)≤4 for all values of x. By mean value theorem, if f(x) is continues in a,b and…

Q: d 3) (2a)* = (Derivative of an exponential %3D function)

A:

Q: Let (a) 10.5 3.5 ・6.³.5 P f(x) dx = 9, [ r(x) dx = [ 3.5 10.5 a £10.5. f(x) dx = 4, and (b) (8f(x) -…

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Q: If integral subscript 2 superscript 3 f(x)dx=4 and integral subscript 3 superscript 5 f(x)dx=7, then…

A: A detailed solution is given below.

Q: If f(x)= ∫ (top 16, bottom 9) (-x^(-1/2)+5) dx. Enter your answer as an exact fraction of necessary.

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Q: If f(x) = 3√x (x³ - 5√x+4), find f'(x). x ²7/31²- Find f'(3). X

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Q: compute the higher derivative

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Q: 3. h(x) = 6ln(x) = 4√x + 10x² find the equation for h'(x). 8 = (S)111# notesup

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Q: Let ſª f(x)dx = −3, ¹ f(x)dx = = −4 and ſ* g(x)dx = 6 and ¹ g(x)dx = 2. Then evaluate 4 [* (7 f(x) —…

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Q: Which of the following is  F(x)+C  for  F(x)=∫f(x)dx=∫(3e^x+2sin⁡x)dx  and  F(0)=0  ? Select one…

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Q: 2. (10 points) Evaluate 3x² (x3+5)² dx (using substitution)

A: Step 1:Step 2:

Q: Letf(x) =(6x if 0≤ x ≤2,(−4 if 2 &lt; x ≤6.Find ∫^6v0 f(x) dx.

A: Given information:Here, it is given that f(x) will be equal to 6x if x lies between 0 to 2 and f(x)…

Q: If ƒ(x) = (x² + 4x + 8)², then f'(x) = f'(3) = places) (round to 3 decimal

A: f(x)=x2+4x+82 f'(x)=ddxx2+4x+82   Let, g(x)=x2+4x+8 So, the function can be written as:…