Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. y = Vx (a) Find dy/dt, given x = 9 and dx/dt = 6. dy/dt = (b) Find dx/dt, given x = 64 and dy/dt = 2. dx/dt = Need Help? Read It

Q: 1. Explain why / f'(t) dt = f(b) – f (a). ||

A: Refer to image below.

Q: Let xy = 4 and dx dt Find dy dt when x = = 2. 1.

A: ..........(i)Differentiating equation with respect to t Put   ..........(ii)

Q: How do you evaluate ∫ba r(t) dt?

A: Consider the given: ∫abr(t)dt Consider the first fundamental theorem of calculus: Let r(t) be…

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A:

Q: Use the Fundamental Theorem of Calculus Part I to find dh/dx given h(x) = cost dt (Hìnt: need…

A: Answer:  By fundamental theorem of calculus  Let fx=∫axbx gt. dt   dfdx=gbx.b'x-gax.a'x