By cofunction identity,

\(\displaystyle{\cos{

\(\displaystyle{\cos{

Question

asked 2021-08-02

Differentiate. y = sec θ\theta tan \theta

asked 2021-08-03

For each of the following, find the maximum and minimum values attained by the function f along the path c(t):

(b) \(\displaystyle{f{{\left({x},{y}\right)}}}={x}^{{2}}+{y}^{{2}}.{c}{\left({t}\right)}={\left({\cos{{t}}},{2}{\sin{{t}}}\right)}{.0}\leq{t}\leq{2}\pi\)

(b) \(\displaystyle{f{{\left({x},{y}\right)}}}={x}^{{2}}+{y}^{{2}}.{c}{\left({t}\right)}={\left({\cos{{t}}},{2}{\sin{{t}}}\right)}{.0}\leq{t}\leq{2}\pi\)

asked 2021-08-11

The function f is given by\(\displaystyle{f{{\left({x}\right)}}}={1}+{3}{\cos{{x}}}.\) What is the average rate of change of f over the interval\(\displaystyle{\left[{0},\pi\right]}\)?

asked 2021-09-13

Find the critical numbers of the function \(\displaystyle{f{{\left(\theta\right)}}}={2}{\cos{\theta}}+{{\sin}^{{2}}\theta}\)