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A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^14 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
Assume Gary is at rest at noon, then accelerates at a constant rate of 3 ft/sec^2. Find the parametrization of the motion in terms of t, seconds after noon. How long does it take to reach a height of 500 feet?
If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on [c,d] hint: if P is any partition of [c,d], P can be extended to a partition P* of [a,b] with ||P*||
Find the slope and the equation of the tangent line to the graph of the function at the given value of x.
An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,and 2 cans of mango juice. What is the probability of selecting a can of apple juice
Let X be a subset of R, let E be a subset of X, let x_0 be an adherent point of E, and let f: X-->R, g: X-->R, h: X-->R be functions such that f(x)
A function of two variables f(x,y) is integrated over the square [0,2] x [-1,1]. ex: integral from 0 to 2 , integral from -1 to 1 f(x,y) dx dy. (I wanted to input integral symbols there but didn't know how).
Please solve the following system of equations using both of these methods (solve once using substitution and once using elimination):
Demand,Revenue, & the Largest Reduction to maximize Revenue, 200 DVD players are sold per week for $300 each. For each $10 rebate (reduction in sale price), 20 additional DVD players are sold.
Queuing Analysis: Cost comparisons, All trucks traveling on a major highway must stop at a weigh station. Trucks arrive at a rate of 200 per 8-hour day. The station can currently weigh on average 220 trucks per 8-hour day.
which set of vertices represents a square?
Starting with a hypothetical population of 14,000 people and an even age distribution [1,000 in each age group from 1-5 to 66-70 years], suppose that the population initially has a total fertility rate of 2.0 and an average life span of 70 years.
What are the possible orders of subgroups of S4? Prove that S4 has at least one subgroup of each of these orders. What are the elements of these subgroups?
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