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A) We need to find dy/dx. We know that dy/dx =(dy/dt)/(dx/dt). Differentiating each parametric equation we get: dx/dt= -2sin(2t) {using the chain rule and knowing that cos differentiates to -sin.} dy/dt= ...

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The best way to solve any complex problem is to start off by formulating a general overview of the problem. This is useful as it allows you to see the overall 'big' picture and allows you to really compre...

Using integration by parts, answer = 1/4x⁴lnx - 1/16x⁴ + C

f'(x) is the first derivative of f(x) therefore f'(x) = 2x - 3

To find f''(x) simply take the derivative of f'(x), therefore f''(x) = 2