Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. 2x + y² = 8, x = y y 2 y 4t 4 -2 1 2 X -2 -4 -2 -1 3 -4 ⑪O Set up an integral that can be used to determine the area A of the region. 2 A= Find the area of the region. dy -2- X 2 y 2 X -2 -1 1 2 -2 -1 1 2 -2- ⑪O -2 4 X The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t - 7, 0 ≤t≤4 (a) Find the displacement (in meters). Find the total distance traveled (in meters) by the particle during the given time interval.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Please help me with these questions. I am having a hard time understanding what to do. For the first question I get 12.33. But I been informed by my tutor it's wrong. And for the second. Question I am unable to wrap my head around

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
2x + y² = 8, x = y
y
2
y
4t
4
-2
1
2
X
-2
-4
-2
-1
3
-4
⑪O
Set up an integral that can be used to determine the area A of the region.
2
A=
Find the area of the region.
dy
-2-
X
2
y
2
X
-2 -1
1 2
-2
-1
1
2
-2-
⑪O
-2
4
X
Transcribed Image Text:Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. 2x + y² = 8, x = y y 2 y 4t 4 -2 1 2 X -2 -4 -2 -1 3 -4 ⑪O Set up an integral that can be used to determine the area A of the region. 2 A= Find the area of the region. dy -2- X 2 y 2 X -2 -1 1 2 -2 -1 1 2 -2- ⑪O -2 4 X
The velocity function (in meters per second) is given for a particle moving along a line.
v(t) = 3t - 7, 0 ≤t≤4
(a) Find the displacement (in meters).
Find the total distance traveled (in meters) by the particle during the given time interval.
Transcribed Image Text:The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t - 7, 0 ≤t≤4 (a) Find the displacement (in meters). Find the total distance traveled (in meters) by the particle during the given time interval.
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