A rectangle has one side on the x-axis and two vertices on the curve y=2/(1+x^2) Find...

A rectangle has one side on the x-axis and two vertices on the curve y=2/(1+x^2) Find the vertices of the rectangle with maximum area. Enter your answer as a list of points (a, b) separated by semicolons. The order of the list does not matter.

Expert Solution

milcah answered 2 years ago

Find the area enclosed between the x-axis and the curve y=x(x-1)(x+2)

The curve y = √(25-x^2), −2 ≤ x ≤ 3, is rotated about the x-axis. Find...

The curve y = √(25-x^2), −2 ≤ x ≤ 3, is rotated about the x-axis. Find the area of the resulting surface.

An equation of a hyperbola is given. y^2/36 - x^2/64 = 1 (a) Find the vertices,...

An equation of a hyperbola is given. y^2/36 - x^2/64 = 1 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) vertex (x, y) = (smaller y-value) vertex (x, y) = (larger y-value) focus (x, y) = (smaller y-value) focus (x, y) = (larger y-value) asymptotes (b) Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.

The region bounded by y=(1/2)x, y=0, x=2 is rotated around the x-axis. A) find the approximation...

The region bounded by y=(1/2)x, y=0, x=2 is rotated around the x-axis. A) find the approximation of the volume given by the right riemann sum with n=1 using the disk method. Sketch the cylinder that gives approximation of the volume. B) Fine dthe approximation of the volume by the midpoint riemann sum with n=2 using disk method. sketch the two cylinders.

If the infinite curve y = e−3x, x ≥ 0, is rotated about the x-axis, find...

If the infinite curve y = e−3x, x ≥ 0, is rotated about the x-axis, find the area of the resulting surface. (answer needs to be in fraction form if possible)

Find the area between the curve and the x-axis over the indicated interval. y = 100...

Find the area between the curve and the x-axis over the indicated interval. y = 100 − x2; [−10,10] The area under the curve is ___ (Simplify your answer.)

Find the exact area of the surface obtained by rotating the curve about the x-axis. y...

Find the exact area of the surface obtained by rotating the curve about the x-axis. y = 1 + ex , 0 ≤ x ≤ 6

Find the point of intersection between the x-axis and the tangent line to the curve y=x3...

Find the point of intersection between the x-axis and the tangent line to the curve y=x3 at the point (x0,y0), x0 cannot = 0

Find the absolute extreme values of g(x, y) = x^2 + xy over the rectangle ?...

Find the absolute extreme values of g(x, y) = x^2 + xy over the rectangle ? = {(?, ?) : − 2 ≤ ? ≤ 2 , −1 ≤ ? ≤ 1}

Four protons are placed in the vertices of a square with a side of 2 x...

Four protons are placed in the vertices of a square with a side of 2 x 10^-9 m. A fifth proton is initially on the square perpendicular to its center, at a distance of 2 x 10^-9 m from it. Calculate (a) the minimum initial velocity that the fifth proton needs to reach the center of the square, (b) its initial and final accelerations. (c) Make a graph of the proton's potential energy as a function of its distance to...

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