Question

Find the area of the "triangular" region in the first quadrant that
is bounded above by the curve y=e^3x, below by the curve y=e^2x,
and on the right by the line x=ln2

Answer #1

1- Find the area enclosed by the given curves.
Find the area of the region in the first quadrant bounded on the
left by the y-axis, below by the line above left
by y = x + 4, and above right by y = - x 2 + 10.
2- Find the area enclosed by the given curves.
Find the area of the "triangular" region in the first quadrant that
is bounded above by the curve , below by the curve y...

Find the volume generated by revolving the area in the first
quadrant bounded by the
curve y = e-x when the area is revolve about the line y
= -1 using the circular ring
method.

Consider the region R bounded in the first quadrant by y = 1 −
x. Find the horizontal line y = k such that this line divides the
area of R equally in half.

Find the area of the region in the ?? x y -plane bounded above
by the graph of the function ?(?)=9 , below by the ? -axis, on the
left by the line ?=8 , and on the right by the line ?=19 . The area
is

If the region in the first quadrant bounded by the curve y =
??b. Find the area of the region bounded by the given curves :-
and x = 1 is
6. a.
rotated about the x axis, what is the volume of the resulting solid
?
? = ?2??? , ? = 4???.
c. A two truck drags a stalled car along a road .The chain makes
an angle of 30?with the road and the tension in the chain...

(1 point) Find the area of the region in the ??-plane bounded
above by the graph of the function f(x)=9, below by the ?x-axis, on
the left by the line ?=2, and on the right by the line ?=15.

The region in the first quadrant bounded by y=2x^2 ,
4x+y=6, and the y-axis is rotate about the line
x=−3.
The volume of the resulting solid is:

PLEASE USE TWO dy-INTEGRALS
Let R be the region in the first quadrant bounded by the curves
y = f(x) = 2x+ 1 and y = g(x) = 2x 2 − 8x + 9. Find the
volume of the solid obtained by rotating the region R about y-axis
using two dy-integrals.

1. Integrate f(x, y) = x + y over the region in the first
quadrant bounded by the lines y = x, y = 3x, x = 1, and x =
3.

Calculate the area, in square units, of the region bounded by
the line x=2 on the left, the curve f(x)=ln(x-6)+1 on the right,
the line y=3 above, and the x-axis below. Give an exact answer, in
terms of e.

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