Find the critical points of the following function on the given interval.
b. Use a graphing utility to determine whether the critical points correspond to local maxima, local minima, or neither. Find the absolute maximum and minimum values on the given interval.
f(θ) = 3 sin θ + 5 cos θ; [−2π, 2π]
Critical points: θ = −2.601, 3.682
There are no critical points that are local minima.
Identify all the critical points that are neither local maxima nor local minima.
There are no critical points that are neither local maxima nor local minima.
c. Identify the absolute maximum of the function on the given interval.
A. The absolute maximum is f(θ) = 5.831 at θ = 0.
B. There is no absolute maximum.