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A bowl is shaped like a hemisphere with diameter 76 cm. A heavy ball with diameter 12 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.)
Evaluate {double integral over region R} [F(dot)n dA] where F= x(ihat)+y(jhat)+(1-x^2-y^2)(khat) and n = 2x(i)+2y(j)+k and R is the disk x^2+y^2
Estimate the profit for each item as difference between total revenue and total cost of the item and
An archer has probability 0.3 of hitting a certain target. What is the probability of hitting the target exactly two times in four attempts?
Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26 and in January 2006 the price of regular unleaded gasoline was $2.31
If an open box has a square base and a volume of 105 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
A motorboat can maintain a constant speed of 43 miles per hour relatuve to the water. The boat makes a trip upstream to a certain point in 52 minures; the return trip takes 34 minutes. What is the speed of the current?
Now verify that the subgame-perfect equilibrium is for the crook not to confess and for the policeman to go back on his threat. That is, explain why the policeman's threat is actually not credible.
Determine Probability Distribution, In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times.
I get the critical points are(0,0) and(-2^1/5, 4^1/5). Then I get det(0,0)=2 and det(-2^1/5, 4^1/5)=-10, so index of the system is -8 and the index of periodic orbit is 1, so there's no periodic orbit.
Use the integrating capabilities of a graphing utility to approximate the surface area of that portion of the surface z=e^x that lies over the region in the xy-plane bounded by the graphs of y=0, y=x and x=1.
Transform each equation to standard form. Then find the center, foci, major and minor axes, and ends of each latus rectum. Draw the curve
Determine the number of subsets of {ham, turkey, chicken, tomato, feta cheese, cheddar cheese, cucumbers, onions, red peppers, hot peppers }.
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