(b) By differentiating curve y 1 2² +1 y with respect to x, find an equation of the tangent to the at A1,; (a) Find the following indefinite integrals. (i) f(x² - 7x + 2)dx (ii) cos(2x)dr (iii) Setz dx

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A:

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A: Given that,

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A: xt=sin2π2-t,  yt=cos4π2-t,  0≤t≤π2 Differentiating with respect to t, we get dxdt=2sinπ2-t·ddtπ2-t…

Q: Take the derivative of this integral.

A: Given

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A:

Q: x2 1)Calculate the derivative using FTC(1): g(x) = ʃ  (t5 − 9t3 )dt…

A: 1) to find the derivative of the integral using FTC(1)

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A:

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A: