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
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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
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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