Question 1

.Find the area under the curve $f(x)=4x^2-\frac{1}{2}x$ and $f(x)=1$ between the intervals of 0 and the point of intersection.

Accepted Answer

.404

Answer

.371

Answer

2.1

Answer

.64

Question 2

Using left Riemann sum, estimate the area of the function bound to the x axis. f(x)=$2x^2$ from the interval [1,4] using 3 sub-intervals.

Accepted Answer

28

Answer

26

Answer

60

Answer

30

Question 3

Using Right Riemann estimate the area using the 3 sub intervals provided.

Accepted Answer

870

Answer

975

Answer

962

Answer

850

Question 4

Find the volume of the curve.Bounded by f(x)=$3x^3+\frac{4}{3}x$ and the x axis between [0,5].

Accepted Answer

950.247

Answer

475.123

Answer

-475.123

Answer

-950.247

Question 5

Using trapezoidal sum find the estimated area using the table with 3 sub intervals.

Accepted Answer

5.75

Answer

5.5

Answer

6

Answer

5

Question 6

Find the volume of the solid formed that has a base bound by the equations y=$\frac{2}{3}x+1$ and y= $2x^2+3$ whose cross -sections are semicircles.

Accepted Answer

.678

Answer

.7

Answer

.661

Answer

.689

Question 7

Find the area under the curve bounded by f(x)= $\sqrt{3x}$ and the x axis. Between the intervals 0,10.

Accepted Answer

36.515

Answer

15.653

Answer

35.213

Answer

36.282

Question 8

Find the area under the curve created by the functions f(x)=$\sqrt{8x+4}$ and g(x)=$2x$.Between the intervals [0,2]

Accepted Answer

2.787

Answer

2.454

Answer

2.878

Answer

2.984

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