org 709. Find the values of a and b so that the function f(r) r t ar' + br will have a relative extreme at (3, 1).

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Q: 709. Find the values of a and b so that the function f(r)- rt ar' + br will have a relative extreme…

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A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

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A: Part 1 of the Fundamental Theorem of Calculus : If  f(x) = ∫axg(t) dt then  f'(x)= g(x)

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Q: 12. V5z-8 f(z) = 13. f(x)=sin(3x² +x)

A: We can answer both the question as below using chain rule.

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Q: Find the greatest value of F (x)= | (6 . cos t - 2 sin t) dt 5 7/3 in the interval [5/3,7 t/ 4|.

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A: Given,                f(x) = ln(cos x) ⇒y=ln(cos x) ⇒ dydx=-sin(x)cos(x). And we have to find arc…

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Q: 5) Let y= cos' (S(x))+e". Find y' at x 1, given that f(1)= and f'(1) = 30

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Q: 36 – t2 dt. f(x) 4+ cos? (t)

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Q: 3 If the length of the curve y = 4 xž from the point (0, 0) to the point (xo, f(xo)) is L = ((20737)…

A: Given,          The length of the curve y=4x32 from the point 0,0 to the point x0,fx0           is…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, f (x) has a root in [0]. If we…

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Q: use Euler's method to obtain an approximation to four decimal places of the indicated value by first…

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Q: Given x² + 13x + • 40 f(t) = 1+ cos2(x) At what value of t does the local max of f(t) occur? rp- t =

A: Here, the given function is: f(t)=∫0tx2+13x+401+cos2xdx