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Consider the shaded region bounded by y = f(x) and y = g(x) as shown. Set up the integral needed to find the volume of the solid obtained by rotating the region around the x-axis.
Saly and marbel Had the same number of cards at first. Aafter saly sold 18 of her cards,mabel had four times as many cards as saly. How many cards did each girl have at first?
Calculate the mean and standard deviation of the distribution for your example. Binomial and Poisson Distributions in Real Life
Let n >= 0 be an integer, and for each 0 R be the function P(x) := the sum from i=0 to n of c_i x^i such a function is known as a polynomial of one variable
If the sales effect for period 5 is $125 million and the carryover effect is 0.25, calculate the total sales impact for period 5.
A grain silo has a cylindrical shape. Its diameter is 19 , and its height is 38 . What is the volume of grain that can be stored in the silo?
An automobile manufacturer finds that 80,000 cars can be sold if each is priced at $12,000. However, the number sold increases by 25 for every $2 decrease in the price. The manufacturer has fixed costs of $45,000,000; in addition, it costs $5,500 ..
Compare the time that an average customer spends waiting in line for both Tom and Jane. Compare the utilization rates for both Tom and Jane.
A rectangular gate ABCD of mass 120kg where AB=1m and AD=3m is supported at A & B by pins where B is vertically above A. The reaction force at B is always horizontal.
's salary is 1 cent/second for a 40 hour work week. Tiare's salary is $1400 for a 40 hour work week. Who has a higher salary?
There are 312 coins of the same type in two stacks. One stack is 15 inches tall. The other stack is 9 inches tall. Find the thickness of one coin to the nearest thousandths of an inch.
If the sun is above the horizon, find the length of the shadow cast by a building tall. Round your answer to the nearest hundredth.
Prove that the upper sum U(f, P) for a partition of [a, b] and a bounded function f on [a, b] is the least upper bound of the set of all Riemann sums for f and P.
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