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1. Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of y = (1/3)x3 where 0 ≤ x ≤ 3 about the x-axis.
2. Find the arc length of the graph of the function y = x3/2 over the interval [1, 8].
3. Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by y = 0.5 x2 + 1, x = 0 and y = 4 about the y-axis.
consider the following age data which is the result of selecting a random sample of 20 united airlines
1. Determine the equation of a graph of f(x) = x^2 that has been transformed so that it now has a vertex of (4,-1) opens down, and was stretched so that it passes through the point (5,-3).
A train leaving town X for town Y at dawn is to arrive at its destination 300km away, traveling at 72km/hr, find the speed of the train in m/s
Consider the market for broadband Internet service.
find the point of intersection of each pair of lines
andrews blue ribbon cars amp trucks is having a big sale. mike and don are setting up the lot. the boss gives them a
Add 5x3 – 3x2 + 5 and 10x2 – 11 using the vertical method. Write the resulting polynomial in descending order.
Which of the following would be a valid tensor equation? You should indicate if the equation is valid; and if it is not valid, you should state why.
One day it snowed 3 and 3/8 inches in Altoona and 3.45 inches in Bethlehem. Which city received less snow that day.
A population of protozoa develops with a constant relative growth rate of 0.8329 per member per day. On day zero the population consists of six members. Find the population size after eight days. (Round your answer to the nearest whole number.)
If the probability of an event is .857, what is the probability that the event will not occur?
A statistics professor plans his classes so carefully that the lenghts of his classes are uniformly distributed 50.0 and 52.0 minutes. Find the probably that a given class period runs greater than 51.5 minutes.
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