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The points (4, 1, 7) and (10,9,7) are endpoints of a diameter of a sphere. How to find the center and radius of the sphere?
How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
I wish to find the general nontrivial solution to the fourth order ODE with boundary conditions
An airplane flying at an altitude of 30,000 feet passes directly over a fixed object on the ground. One minute later, the angle of depression of the object is 43°. Approximate the speed of the airplane to the nearest mile per hour.
Find the volume V of water in the bowl. (Consider two cases: one in which the ball is not completely submerged and the other in which it is.)
Treat the statistics from part (a) as if they are population parameters and assume a normal distribution to find the values of the quartiles, Q1, Q2 and Q3.
Tony rented a truck for one day. There was a base fee of $14.95 , and there was an additional charge of 99 cents for each mile driven. Tony had to pay $147.61 when he returned the truck. For how many miles did he drive the truck?
For an electric circuit, let V=cos 2pi(t) model the electromotive force in volts at t seconds. Find smallest positive value of t where 0
what is the value of k? The initial population at time = 0? the size of the bacterial population after 5hours?
Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 4 - x^2 and the plane y = 2.
The ellipsoid's equation: x^2 + y^2 - yz + z^2 = 1 is quadratic in z, so can be solved for z explicitly to give the top and bottom halves. Use the quadratic formula to find the these functions.
A buoy oscillates in simple harmonic motion y = A cos omega(t) The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds.
Find exact coordinates of the centroid of the region in the first quadrant bounded by the given curves.
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