Find the area of the shaded region shown in the graph. Ay y320 sinx 20 v%3D20cosx 13 IN

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Finding the Area of the Shaded Region in the Graph

#### Task
Find the area of the shaded region shown in the graph.

#### Graph Description
There is a graph with two functions:
- \( y = 20 \sin x \) (blue curve)
- \( y = 20 \cos x \) (red curve)

Both functions intersect, forming a triangular shaded region. The intersection is marked with a darker shading.

##### Axes:
- \( x \)-axis
- \( y \)-axis

Intersecting points have been marked with labels:
- The point on the \( y \)-axis is labeled 20.
- The point on the \( x \)-axis is labeled \( \frac{\pi}{2} \).

#### Question
The area of the shaded region is \( \boxed{\quad} \). (Type an exact answer.)

Enter your answer in the answer box.

##### Note
The graph includes options to zoom in, zoom out, and reset to default view.

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Transcribed Image Text:--- ### Finding the Area of the Shaded Region in the Graph #### Task Find the area of the shaded region shown in the graph. #### Graph Description There is a graph with two functions: - \( y = 20 \sin x \) (blue curve) - \( y = 20 \cos x \) (red curve) Both functions intersect, forming a triangular shaded region. The intersection is marked with a darker shading. ##### Axes: - \( x \)-axis - \( y \)-axis Intersecting points have been marked with labels: - The point on the \( y \)-axis is labeled 20. - The point on the \( x \)-axis is labeled \( \frac{\pi}{2} \). #### Question The area of the shaded region is \( \boxed{\quad} \). (Type an exact answer.) Enter your answer in the answer box. ##### Note The graph includes options to zoom in, zoom out, and reset to default view. ---
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