Given $f(x)=\sin ^{2} 5 x$ $\quad$ $\quad$

question 60

Short Answer

Given $f(x)=\sin ^{2} 5 x$ $\quad$ $\quad$ $0<$$x<\frac{\pi}{5}$ .
(a) Find the intervals on which f is increasing or decreasing.
(b) Find the relative maxima and relative minima of f.

---

Definitions:

Proportionate

Characterized by a correspondence or balance between parts or elements, in terms of size, quantity, or importance.

Context

The set of circumstances or background information that surrounds a particular event, situation, or issue, influencing its understanding and interpretation.

Normal Anxiety

A natural, often temporary, reaction to stress or uncertainty, which can be a motivating force or, when in moderate levels, not indicative of a mental health disorder.

Meaning

A concept that refers to the significance or interpretation of something, such as a word, action, event, or symbol.