Question

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

Answer #1

(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.

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 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

Use the midpoint rule with 4 rectangles to approximate the area
of the region bounded above by y=sinx, below by the ?x-axis, on
the left by x=0, and on the right by ?=?

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.

Consider the region bounded by y=sqrt(x) and y=x^3
a) Find the area of this region
b) Find the volume of the solid generated by rotating this
region about the x-axis using washer
c) Find the volume of the solid generated by rotating this
region about the horizontal line y=3 using shells

1. Find the area of the region bounded by the graph of the
function f(x) = x4 − 2x2 + 8, the
x-axis, and the lines x = a and
x = b, where a < b and
a and b are the x-coordinates of the
relative maximum point and a relative minimum point of f,
respectively.
2.Evaluate the definite integral.
26
2
2x + 1
dx
0
3. Find the area of the region under the graph of f...

A. For the region bounded by y = 4 − x2 and the x-axis, find
the volume of solid of revolution when the area is revolved
about:
(I) the x-axis,
(ii) the y-axis,
(iii) the line y = 4,
(iv) the line 3x + 2y − 10 = 0.
Use Second Theorem of Pappus.
B. Locate the centroid of the area of the region bounded by y
= 4 − x2 and the x-axis.

find volume lies below surface
z=2x+y and above the region in xy plane bounded by x=0 ,y=1
and x=y^1/2

Use cylindrical shells to find the volume of the solid obtained
by rotating the region bounded on the right by the graph of
g(y)=9√y and on the left by the y-axis for 0≤y≤8, about the x-axis.
Round your answer to the nearest hundredth position.
V=?

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