Find the volume of the solid that lies within the sphere
Find the volume of the solid that lies within the sphere x^2+y^2+z^2=64, above the xy plane, and outside the cone z=7sqrt(x^2+y^2).
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A distant galaxy emits light that has a wavelength of 479.2 nm. On earth, the wavelength of this light is measured to be 481.6 nm. Find the speed of the galaxy relative to the earth. (Give your answer to 4 significant digits. Use 2.998 x 108 m/s a
A block of mass 5.0 kg is pulled across a horizontal surface at a constant speed by a force 14 N directed at 35 degrees from the horizontal. What is the coefficient of kinetic friction between the black and the surface?
Define the terms maximus and minimum of a function. What is the formula that gives the x- coordinate of the vertex for a parabola?
First draw the system with the x-y plane as the page you are drawing on and the y-axis as the vertical axis. Make the downward direction the positive y-direction and the positive x-direction to the right. Indicate the direction of the magnetic fie
A 200 g object tied to a string 80 cm long travels in a vertical circle of radius 80 cm. At the top of the circle the speed of the object is 4.5 m/s. What is the tension in the string at this position?
A 0.40 kg mass attached to the end of a string swings in a vertical circle of radius 1.8 m. At an instant when the string makes and angle of 40 degrees below the horizontal the speed of the mass is 5.0 m/s. What is the tension in the string at thi
Determine the equation of the directrix of the parabola which includes the origin, is symmetric about the y-axis and passes through (6, 3)?
A uniform electric field with a magnitude of 6270 N/C points in the positive x direction. Find the change in electric potential energy when a +12.5 µC charge is moved 5.16 cm in the following directions. (a) the positive x direction (b) the
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