Find the first derivative or f'(x) of the function below using the techniques of integration f (x) = (2x + 1) (3x – 2)

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A: Solution is written in below steps.

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Q: Problem 2. Show that as x → 0∞, (1+4)'-- + e. In(1+h) – In 1 = lim h→0 In(1+ h) d In x lim h→0 = lim...

A: We are asked to prove that given

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A: The domain of f(x) is the set of all possible values of x for which f is defined.

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Q: discrete math How many 5 digit numbers can be written with the digits {1, 2, 3, 4, 5, 6, 7, 8} if t...

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A: Follow the procedure given below.

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A:   Note:- Since you have asked multiple question As per our policy, we will solve the first question ...

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Q: 8 en Vn! n=0

A: We will check the convergence of the series. 

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A: Solution of given question is written in below steps.

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A: Follow the procedure given below. 

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A: Topic = Integration 1) TRUE 2) FALSE

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 3y(x2 – 1)dx + (x3 + 8y – 3x) dy = 0

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A: Taking laplace on both side, and using y(0) =-3  

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A: First order differential equation : Consider the first order differential equation                  ...

Q: II. IDENTIFY THE CRITICAL POINTS & DETERMINE THE MAXIMUM & MINIMUM VALUE. (SKETCH THE GRAPH) A. y=9-...

A: Graph:                                    

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A: The objective of the question is evaluate the limit of the function.

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Q: Using differentiation formulas, write the derivative with respect to x of the following. Find the su...

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