b) c) dx x²(x²-16)2 S S- dx 1 (4x²+3)2 S. X = X = dx = dx =

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A: Using mean value theorem.

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A: We will find the roots.

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A: Here we have to find the area.

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Q: 1. Calculate the derivatives of the following functions. a) f(x) = In (In(x)) 4x3 b) g(x) =…

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A: We have to find the work.

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A: Given: The average price of the property from 1994 to 2004:

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A: The objective of the question is evaluate the matrix multiplication.

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Q: Let f(x)= x+1 1³ - 2x² + 1

A: Solving the problem by finding the fraction from the expression.

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A: Given that the daily profit (in dollars) from the production and sales of x units of a product is…

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A: Using herons formula

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A: This question is based on definite integral.

Q: 5. a. Evaluate lim(3x³ +7x−16). b. What is the meaning of this value?

A: Given;  limx-2(3x3+7x-16).

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A: limit of a function f(x) at a point x=a exists iff limx→a-f(x)=limx→a+f(x)

Q: Use the One-to-One Property to solve the equation for x. 5x+1=25 x = 5 x = 1 x = 2 x = 4 x=3

A: given that  5x+1=25 Or 5x+1=52  On comparing  X+1=2  So x=1

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Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

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Q: x²+x-1 dx 5x² + x3-x

A: First we take partial fraction then solve it.

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A: First check that given matrix is singular or not then find its inverse.

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A: Find value of parametric by equating L1  and L2.

Q: Determine the following general antiderivatives. [3x (x²-5)³4x [Axe+²7 tan(+²7) dx 10 d. cos(x)…

A: