Sketch the region enclosed by the given curves. y = 5 cos 4x, y = 5 − 5 cos 4x, 0 ≤ x ≤ π/4 find it's area.

Step-by-step explanation:

Given: Two curve

We are given two curve and find area under both curve between

First we draw the graph of both curve on same coordinate plane. Please see the attachment for graph.

Area under the curve

For region 1:

For region 2:

Total area under the curve, A

Hence, The area of region enclosed by the two curve is

step-by-step explanation:

4  

25

5258y

54.

t5

5r

54

5856

542

5458

86

.8558.65

565

565

55898

786

8/95

5896

8656265

556478

mariah is studying the life cycle of the monarch butterfly. she must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. she plans to make her choice randomly using a custom spinner divided into four sections. first, however, she spins the spinner 50 times to see the frequencies it generates.

stage times landed on

egg 10

caterpillar 12

chrysalis 15

adult 13

step-by-step explanation: