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Calc 2 7.1

 

<== Calculus 2
Number Question Answer
See the work

1.

 

Find the area enclosed between f(x) = 0.2 x^2  +   10
and g(x) = x from x= -4 to x= 2.

70.8
The work

Point Cost: 3

2.

 

 

 

Sketch the region enclosed by the given curves. Decide
whether to integrate with respect to x or y. Then find the
area of the region.

 

10.667
The work

Point Cost: 3

3.

 

 

Sketch the region enclosed by x= 7y^2 and x+y= 1.
Decide whether to integrate with respect to x or y.
Then find the area of the region.

 

1.125
The work

Point Cost: 4

4.

 

 

Sketch the region enclosed by x+y^2= 12 and x= y.
Decide whether to integrate with respect to x or y.
Then find the area of the region.

 

57.1667
The work

Point Cost: 4

5.

 

 

Sketch the region in the first quadrant enclosed by
y= 3/x, y= 7x, and y= (1/7)x. Decide whether to integrate
with respect to x or y. Then find the area of the region.
Area=_______

 

Area= 5.84
The work

Point Cost: 5

6.

 

Find the area of the region enclosed between
y= 4sin(x) and y= 3cos(x) from x= 0 to x= 0.4π.

 

1.910762474
The work

Point Cost: 5

7.

 

Find c > 0 such that the area of the region enclosed
by the parabolas y= x^2-c^2 and y= c^2-x^2 is 450

 

c=5.52604724796
The work

Point Cost: 4

8.

 

 

Find the area of the region bounded by the parabola
y=5x^2, the tangent line to this parabola at (3,45)
and the x axis.

 

11.25
The work

Point Cost: 5