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A bowl is shaped like a hemisphere with diameter 36 cm. A ball with diameter 4 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. 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.
The weights of full-grown adult female okapis are normally distributed with a mean of 500 pounds and a standard deviation of 30 pounds. What is the probability that
Determine the largest and smallest values of the marginal cost for 0
Express the function in the form f(x) = a(x-h)2 + K and indicate the vertex. An object is thrown upward from the top of a 160-foot (Ho) building with an initial velocity (Vo) of 48 feet per second. How long after the object is projected upward wil..
Evaluate the length and width of the given rectangle using the area and the relation of length and width.
Differentiate between a function and a linear function. Describe the mathematical equation of a standard linear function. Describe how to compute the slope of a line.
what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.)
Find the area of the part of the surface 2z = x^2 that lies directly above the triangle in the xy-plane with the vertices at (0,0),(1,0) and (1,1).
For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve.
What is the composition in mole fractions of a solution that has a vapor pressure of 37 torr at 20 ^circ {rm C}?
An octahedron is a three dimensional shape with eight sides that are equilateral triangles. THis shape is used as a die in games such as Dungeons and Dragons because all eight sides come up with equal probability.
b. Calculate the number of days with a demand for 3 days. Calculate the probability of two bottles per day
Using the definition of the derivative and any standard limiting theorems, show that the derivative of (sinx)^2 is sin(2x).
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