Given f''(x) = - 36 sin(6x) and f'(0) = 6 and f(0) = 0. Find f(1) = [

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A: Answer is in next step, please give a like!!

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A: Given: f(x) = ln(x+4)/2x+1 (a) [-1, 8] (b) 3.45<=x<=5.25

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A: Solving the problem by finding the zero slope equation.

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A: There is a given linear graph representation of second derivative f''(x) of a function as f(x). We…

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A: Answer must be option 3.

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A: Given    limx-&gt;0+{e^(2x)+x}/(1/x)

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A: We want to find f'(x) and f(x) values first.

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A: Line integral

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A: Answer :   Critical point : x = 0.193π and increasing in nature.

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A: We can find the answer as below.

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A: Here we have to use cylindrical coordinates.

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A: This question can be solved using the concept of absolute maximum and absolute minimum.

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Q: ical numbers r = -1 and x = 2 are found from a continuous derivative the second derivative is f"(x)…

A: Topic:- application of derivatives

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A: This question can be solved using the concept of limits.

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A: Solution is given below:

Q: If [ 2013 |檳 sin ada = −a³ cos x + 3x² sin x + k fæ sin ædæ, find k d. 3/2 a. 6 b. -3/2 C. -6

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Q: 2ucot 2x

A: Please see the below picture for detailed solution.

Q: 1. Eliminate the Y= arbitrary constant 2x 2x Ae ²x + Be²x

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Q: (i) Consider the function f: R\{-2,3} → R defined by 2x³4x²5x - 3 x²-x-6 f(x)= - (a) Prove, using…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Please see the below picture for detailed solution.

Q: Evaluate

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Q: 2x log 2x dr 1 (x²+6x+5)3/2 dr

A: As we know that; The Power Rule: ∫xndx=xn+1n+1+C   1). The given integral is: I=∫2xlog2xdx Apply the…

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A: Put value in function and then solve

Q: Provide the complete solution (typewritten if possible) for the item below. Consider the plane π…

A: The equation of the plane π is given as , x-2y+3z-1=0 and the line l is x=1-y2=z+1 Find the…

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Q: On Integration of Rational Fractions. Distinct linear factors Repeated linear factors

A: Given So we do partial fraction to get Distinct linear factor and Repeated liner factor

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