Multivariable Calculus Quiz
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MULTIVARIABLE FUNCTIONS
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A particle moves in the xyxy-plane along the path given by the vector function r⃗(t)=⟨3cos⁡(t),5sin⁡(t)⟩\vec{r}(t) = \langle 3\cos(t), 5\sin(t) \rangle for t≥0t \ge 0. The height of the surface above the point (x,y)(x,y) is given by z=f(x,y)=x2+y2z = f(x, y) = x^2 + y^2. What is the maximum height reached by the particle on the surface?
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