Question

The x-coordinate of the centroid of area in the first quadrant bounded by y =1 - x^2 and coordinate axes is

Answer #1

1. Determine the centroid of the area bounded by the y − axis,
the x − axis, and the curve x^2 + y − 4 = 0.

Determine the centroid of the 1st quadrant area bounded by the
curve y = 4 - x2
A. (3/4 , 8/5)
B. (3/5 , 8/5)
C. (8/5 , 3/4)
D. (4/3 , 5/8)

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.

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.

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.

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

Let R in the x,y-plane be in the first quadrant and bounded by
y=x+2 and y=x2, and x = 0. Find the
volume generated by revolving the region R about the line x =
4.

Determine the centroid C(x,y,z) of the solid formed in
the first octant bounded by z+y-16=0 and x^2=16-y.

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...

The base of a solid is the region in the first quadrant bounded
by the graph of y=cos x, and the x- and y-axes. For the solid, each
cross-section perpendicular to the x-axis is an equilateral
triangle. What is the volume of the solid?
A- 0.785
B-0.433
C -1.000
D- 0.340

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