Area Function a) Find the formula for the area function, A(x), represented by the integral. b) Use that formula to find both A(t) and A(2t). c) Graph f(t) = sin (;t) and shade the area for the interval [0, 27]. d) Graph A(x) on the same graph and plot the point (2r, A(2n)). e) What is the relationship between parts (c) and (d)? sin dt
Area Function a) Find the formula for the area function, A(x), represented by the integral. b) Use that formula to find both A(t) and A(2t). c) Graph f(t) = sin (;t) and shade the area for the interval [0, 27]. d) Graph A(x) on the same graph and plot the point (2r, A(2n)). e) What is the relationship between parts (c) and (d)? sin dt
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Area Function
a) Find the formula for the area function, A(x), represented by the integral.
b) Use that formula to find both A(t) and A(2t).
c) Graph f(t) = sin (;t) and shade the area for the interval [0, 27].
d) Graph A(x) on the same graph and plot the point (2r, A(2n)).
e) What is the relationship between parts (c) and (d)?
sin
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf584669-2b35-47ab-9ef9-c994472fa1ac%2F3bb17030-83e9-452a-b113-0584212cb2fd%2F18t7zhk_processed.png&w=3840&q=75)
Transcribed Image Text:Area Function
a) Find the formula for the area function, A(x), represented by the integral.
b) Use that formula to find both A(t) and A(2t).
c) Graph f(t) = sin (;t) and shade the area for the interval [0, 27].
d) Graph A(x) on the same graph and plot the point (2r, A(2n)).
e) What is the relationship between parts (c) and (d)?
sin
dt
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