1) Find the critical numbers of the function.
f(θ) = 16 cos θ + 8 sin^2 θ
θ=?
2) Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = x/(x^2 − x + 9), [0, 9]
3) f(x) = 3x3 + 4x2 + 7x + 5, a = 5
(f −1)'(a) = ?
1. Find a Cartesian equation for the curve.
r cos(θ) = 2
Identify the curve.
2. Find a Cartesian equation for the curve.
r = 4 sin(θ)
Identify the curve.
Given r(t) = <2 cos(t), 2 sin(t), 2t>. • What is the arc
length of r(t) from t = 0 to t = 5. SET UP integral but DO NOT
evaluate • What is the curvature κ(t)?