Let A(x) be the area of the region bounded by the t-axis and the graph y = f(t) from t=0 to t=x. Complete parts a through c using the graph of f(t) to the right. f(t) = -2t+8 ifts 3 if t>3 b. Find A(4). A(4)= units² c. Find a formula for A(x). Choose the correct answer below. OA. A(x)=. 8x-x² if 0≤x≤3 2x+9 ifx>3 OB. A(x)=2x+9 - {₂ OD. A(x)=8x-x² OC. A(x) = CETTE -2x+8 if 0≤x≤3 if x>3 4- Q Q G

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let A(x) be the area of the region bounded by the t-axis and the graph y = f(t)
from t=0 to t=x. Complete parts a through c using the graph of f(t) to the
right.
-{₂
f(t)=
-2t+8 ifts 3
if t>3
b. Find A(4).
A(4)= units²
c. Find a formula for A(x). Choose the correct answer below.
8x-x² if 0≤x≤3
2x+9 ifx>3
OA. A(x)=
OB. A(x)=2x+9
OC. A(x) =
-2x+8 if 0≤x≤3
if x>3
2
OD. A(x)=8x-x²
4
G
Transcribed Image Text:Let A(x) be the area of the region bounded by the t-axis and the graph y = f(t) from t=0 to t=x. Complete parts a through c using the graph of f(t) to the right. -{₂ f(t)= -2t+8 ifts 3 if t>3 b. Find A(4). A(4)= units² c. Find a formula for A(x). Choose the correct answer below. 8x-x² if 0≤x≤3 2x+9 ifx>3 OA. A(x)= OB. A(x)=2x+9 OC. A(x) = -2x+8 if 0≤x≤3 if x>3 2 OD. A(x)=8x-x² 4 G
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