Question

Sketch the region bounded by the graphs of the given equations.
y = 2^x, y = 2^-x, y = 0, x = −2, and x = 2 . Find the area of that
region.

EXACT ANSWER ONLY. A DECIMAL ANSWER WILL BE COUNTED INCORRECT.

Answer #1

Find the area of the region bounded by the graphs of the given
equations.
y=2x^2-9x+13, y=x^2+3x-7

Sketch the region bounded by the given curves. y = 3 sin x, y =
ex, x = 0, x = π/2 Find the area of the region.

Find the area of the region bounded by the graphs of the
equations. Use a graphing utility to verify your results. y = ex, y
= 0, x = 1, and x = 9

Find the area of the region bounded by the graphs:
y=x^2-4
y=x^4-4x^2
I set the equations equal to one another then solved for zero,
but I am stuck after getting x^4-5x^2+4

Let X be the region bounded by y=x and y=x^2.
Sketch the region X and find the area. Explain

Sketch the graphs for the parabolas whose equations are,
y = −x2 + 5x + 9 and y = x2 + 3x + 5
Find the area of the region bounded by the above two parabolas
in
the interval, −1 ≤ x ≤ 4.

Let A be the region bounded by the graphs y = 1 √ x , y = 0, x =
9, and x = 16.
• Write an expression for the area of A.
• Find the area of A.
• Find the vertical line x = c that cuts A’s area exactly in
half.

Find the volume of the generated solid when the region
bounded by the graphs of the given equations is rotated around the
y-axis.
y=√x, x = 3y y = 0

1 a) Find the centroid of the region bounded by the graphs of
the given equations.
y=x^2/3, y=0, x=64.
b)You deposit $1000 in bank to earn interest modeled by dp/dt =
0.05 p . How much will you get after 10 years if it compounded
continuously?
c) The battery of cell phone has an average lifetime of 2000
hours. It is reasonable to the probability modeling with
exponential density function. Use this model to find the
probability that a battery...

The region is bounded by y=2−x^2 and y=x. (a) Sketch the region.
(b) Find the area of the region. (c) Use the method of cylindrical
shells to set up, but do not evaluate, an integral for the volume
of the solid obtained by rotating the region about the line x = −3.
(d) Use the disk or washer method to set up, but do not evaluate,
an integral for the volume of the solid obtained by rotating the
region about...

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