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Chapter 10: Q. 1 (page 694)

The function $f (x) = 3 \sin (4 x)$ has amplitude _ and period ___.

Short Answer

Expert verified

The function $f (x) = 3 \sin (4 x)$ has amplitude $3$ and period $\frac{π}{2}$ .

Step by step solution

01

Step 1. Given information.

We have:

$f (x) = 3 \sin (4 x)$

02

Step 2. Fill the blank.

The function is $f (x) = 3 \sin (4 x)$ .

Use the form $f (x) = a \sin (b x - c) + d$ , where $a$ is amplitude.

$A = |a| = |3| = 3 Period= \frac{π}{2}$

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