There is a line through the origin that divides the region bounded by the parabola y=8x−7x^2...

There is a line through the origin that divides the region bounded by the parabola y=8x−7x^2 and the x-axis into two regions with equal area. What is the slope of that line?

Solutions

Expert Solution

milcah answered 2 years ago

Next > < Previous

Related Solutions

Consider the parabola y=1-x^2. Find the point on the parabola for which the tangent line through...

Consider the parabola y=1-x^2. Find the point on the parabola for which the tangent line through that point creates a triangle in the 1st quadrant and that triangle has minimum area.

a) Find the area of the region bounded by the line y = x and the...

a) Find the area of the region bounded by the line y = x and the curve y = 2 - x^2. Include a sketch. Find the volume of the solid created when rotating the region in part a) about the line x = 1, in two ways.

(18) The region is bounded by y = 2 − x 2 and y = x....

(18) The region is bounded by y = 2 − x 2 and y = x. (a) Sketch the region. (b) Find the area of the region. (c) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line x = −3. (d) Use the disk or washer method to set up, but do not evaluate, an integral for the volume of...

let R be the region bounded by the line y=0, by the upper part of the...

let R be the region bounded by the line y=0, by the upper part of the circle x2+y2=4, and by the upper part of the circle x2+y2=9. Find the circulation of the force F= ( 5cosx-y3)i+ (x3+ 4x+ 5siny)j around the curve C , where C is the boundary curve of the region R , oriented counterclockwise. Draw the region R precisely, and show the orientation of the curve C by putting arrows on C

Find the centroid of the region bounded by the given curves. y=x^2 , x=y^2

Find the area of the region bounded by the parabolas x = y^2 - 4 and...

Find the area of the region bounded by the parabolas x = y^2 - 4 and x = 2 - y^2 the answer is 8 sqrt(3)

1. Determine the area of the area bounded by: curvature :y = x2 - 7x +...

1. Determine the area of the area bounded by: curvature :y = x2 - 7x + 6 and x-axis. 2. Calculate the area of the area bounded by curves: y = 9 - x2 and y = x + 3

Consider a region R bounded by the y-axis, the line segment y=8-x for x from 0...

Consider a region R bounded by the y-axis, the line segment y=8-x for x from 0 to 8, and part of the circle y=-sqrt(64-x^2) for x from 0 to 8. Find the centroid.

Determine the location of the center of mass of the region bounded above x^2 + y^2...

Determine the location of the center of mass of the region bounded above x^2 + y^2 = 100 and below y = 6. Assume the region has a uniform density. Two answer I got were (0, -64/9) & (0, ((2048/3)/100arcsin(4/5)) -48))

Sketch the region bounded above the curve of y=(x^2) - 6, below y = x, and...

Sketch the region bounded above the curve of y=(x^2) - 6, below y = x, and above y = -x. Then express the region's area as on iterated double integrals and evaluate the integral.

Subjects