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A function y =f(x) is represented parame...

A function y =f(x) is represented parametrically as following
`x=phi(t)=t^(5)-20t+7`
`y=psi(t)=4t^(3)-3t^(2)-18t+3`
where t in [-2,2]
Find the intervals of monotonicity and also find the points of extreama.Also find the range of function.

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To solve the problem step by step, we will follow these steps: ### Step 1: Find \( \frac{dx}{dt} \) and \( \frac{dy}{dt} \) Given the parametric equations: - \( x = \phi(t) = t^5 - 20t + 7 \) - \( y = \psi(t) = 4t^3 - 3t^2 - 18t + 3 \) ...
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