a. Find an equation for the secant line through the points where x has the given values. b. Find an equation for the line tangent to the curve when x has the first value. y = 8√√x; x = 16, x = 25 a. The equation for the secant line is y= b. The equation for the tangent line is y= ***

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A: If sign of f''(x) changes when we move from left to the right of x=a then x=a is known as the point…

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Q: (c) State the Fundamental Theorem of Calculus Part II.

A: In this question we have to state the Fundamental Theorem of Calculus Part II.

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A: The given problems can be solved using chain rule of differentiation.

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A: Since multiple questions are asked, I am answering first question

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Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y³ ; (2) y = tan³√/cot(7x);

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A: Please see the below picture for detailed solution.

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Q: 818 B. Find the horizontal, vertical, and oblique asymptotes of the curve y =

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Q: (B): Find the tangent equation to the curve y = sin² x at point x F.

A: We can find the tangent equation at the given point as below.