Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of x=sec²t-1, y = cos t;t= Write the equation of the tangent line. y=x+ (Type exact answers, using radicals as needed.) d²y What is the value of - at this point? 2.0 (Type an exact answer, using radicals as needed.) at this point.

Q: 8. If the graph of h(x) goes thro following statements are true fc

A: 8) y=h(x)g =h(x)This transformation only affects y-value.A(-16, 4)y(x=-16)=4, g(x=-16)=4 =2A' (-16,…

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A: We have to find integral solution

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A: Let's find.

Q: 7) Relative to an origin O, the position vectors of the points A and B are given by OA P (-) and OB=…

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A: Topic:- calculus

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Q: 109. ff(x)=x4 tan x³ -x In (1+x²), then the value of (b) 1 (c) da f(x) dx4 at x = 0, is: (d) 1 15

A: Use the properties of add and even function.

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A: We use the properties of parametric curve

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A: Solved below

Q: Problem 1: Obtain ODE by eliminating arbitrary constant A, B, and C y = A e2x + Be + C

A: To find out the ODE by eliminating constant A, B and C.

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Q: Find the Taylor series generated by fat x = a. f(x) = exa=3 Ο Α.Σ Ο Β. Β. €3(x-3) n! €3(x-3) (n+1)!…

A: Find Taylor series.

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Q: analyze and trace the given curves y = x2 + 1 / x2

A: Explained below

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A: The given function is;  f(x)=8x2-8x on the interval [0,1].

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A: Use derivative for finding the taylor polynomial.

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A: We can solve as follows

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