(1 point) The region in the first quadrant bounded by y=4x2 , 2x+y=6, and the y-axis...

(1 point) The region in the first quadrant bounded by y=4x2 , 2x+y=6, and the y-axis is rotated about the line x=−2. The volume of the resulting solid is: ____

Expert Solution

we will use cyllinder / shell method to find volume

milcah answered 2 years ago

Find u(x,y) harmonic in the region in the first quadrant bounded by y = 0 and...

Find u(x,y) harmonic in the region in the first quadrant bounded by y = 0 and y = √3 x such that u(x, 0) = 13 for all x and u(x,y) = 7 if y = √3 x . Express your answer in a form appropriate for a real variable problem.

Find the double integral of region (2x-y)dA, where region R is in the first quadrant enclosed...

Find the double integral of region (2x-y)dA, where region R is in the first quadrant enclosed by the circle x2+y2=4 and the lines x=0 and y=x

Consider a solid object with the base in the first quadrant bounded by y(x) = 1-(...

Consider a solid object with the base in the first quadrant bounded by y(x) = 1-( x^2/16) , x-axis, and y-axis. If the cross section that perpendicular to the x-axis is in the form of square, determine the volume of this object!

Let R be the two-dimensional region in the first quadrant of the xy- plane bounded by...

Let R be the two-dimensional region in the first quadrant of the xy- plane bounded by the lines y = x and y = 3x, and by the hyperbolas xy = 1 and xy = 3. Let (x,y) = g(u,v) be the two-dimensional transformation of the first quadrant defined by x = u/v, y = v. a) Compute the inverse transformation g−1. b) Draw the region R in the xy-plane and the region g−1(R) in the uv-plane c) Use the...

Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis,...

Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis, and a tangent line to the graph f=(x+3)^-2. Area=?

Use double integration to find the area in the first quadrant bounded by the curves y...

Use double integration to find the area in the first quadrant bounded by the curves y = sin x, y = cos x and the y-axis.

9) R is the region bounded by the curves ? = x^3 , y=2x+4 , And...

9) R is the region bounded by the curves ? = x^3 , y=2x+4 , And the y-axis. a) Find the area of the region. b) Set up the integral you would use to find the volume of a solid that has R as the base and square cross sections perpendicular to the x-axis.

Consider the region bounded between y = 3 + 2x - x^2 and y = e^x...

Consider the region bounded between y = 3 + 2x - x^2 and y = e^x + 2 . Include a sketch of the region (labeling key points) and use it to set up an integral that will give you the volume of the solid of revolution that is obtained by revolving the shaded region around the x-axis, using the... (a) Washer Method (b) Shell Method (c) Choose the integral that would be simplest to integrate by hand and integrate...

Sketch the region in the first quadrant enclosed by y=2/x , y=3x, and y=1/3x. Decide whether...

Sketch the region in the first quadrant enclosed by y=2/x , y=3x, and y=1/3x. Decide whether to integrate with respect to x or y. Then find the area of the region. Area = Find the area of the region enclosed between y=4sin(x) and y=2cos(x) from x=0 to x=0.4π Hint: Notice that this region consists of two parts.

Find the derivative a)y=(1+x)(x+3)/2x-1 b)y=(1+x3)(3-4x2)+x+6

Question