Question

5. Find the area bounded by the curves: two x = 2y - y^2 ; x = 0.

6. Find the surface area of the solid of revolution generated by rotating the region along the x-axis. bounded by the curves: ? = 2?; y = 0 since x = 0 until x = 1

Answer #1

I have considered two curves : x=2y - y^2 and x=0

If function of curves are different then please let me know .

Please be informed that I m supposed to do only one question. So, it's my humble request please don't give negative rating because of that reason !!!

1. Find the area of the region between the curves y = x - 1 and
y2 = 2x + 6 .
2. Find the volume of the solid of revolution formed by rotating
the region about the y-axis bounded by y2 = x and x =
2y.

Find the surface area of the solid generated when the
region bounded by x=ln(2y+1),0≤y≤1 is revolved about the Y-
axis.

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 V of the solid obtained by rotating the
region bounded by the given curves about the specified line.
y = 5x4, y = 5x, x ≥
0; about the x-axis
Find the area of the region enclosed by the given curves.
y = 3 cos(πx), y = 12x2 −
3
Find the volume V of the solid obtained by rotating the
region bounded by the given curves about the specified line.
2x = y2, x = 0, y =
5; about the...

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

Calculate the volume of the solid generated by rotating the
region bounded by the curves
x = 2y^2 and x = y^2 + 1 about the line y = -2

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.

A solid is formed by rotating the region bounded by the curve
?=?−6?/2y=e−6x/2 and the ?x-axis between x=0 and x=1, around the
x-axis. The volume of this solid is ?/6⋅(1−?^(−6)). Assuming the
solid has constant density ?, find ?¯ and y¯.
x¯=
y¯=

1. A solid is generated by revolving the region bounded by
y=(9-x^2)^1/2 and y=0 about the y-axis. A hole, centered along the
axis of revolution, id drilled through this solid so that one-third
of the volume is removed. Find the diameter of the hole.

Find the area of the region bounded by the curves x+y^2= 2 and
x+y=0

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 29 minutes ago

asked 44 minutes ago

asked 47 minutes ago

asked 47 minutes ago

asked 48 minutes ago

asked 49 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago