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1. Integrate the following:
2. For each of the following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x.
Find whether x=3 is a local maximum or a local minimum and Sketch the graph - Sketch possible graphs for all four cases.
Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?
if a 560-N woman stands on top of a very tall ladder so she is one Earth radius above Earth's surface, how much does she weigh in newtons.
where is its height above the ground and is the horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground.
Assume 450,000 people line up on the streets to see the Macy's Thanksgiving Parade in 2010. If attendance is expected to increase 30%, what will be the number of people lined up on the street to see the 2011 parade?
A principal of $1800 is borrowed over 9 months. The future value is $1910. Determine the loan simple interest rate to the tenth of a percent?
If the company wants to send out only fully loaded trucks (and they should return empty), how many trucks of each type would need to be rented? (Find all possible ways to do this.)
Calculate the critical value
The top and bottom margins of a poster are 4 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 390 square centimeters, find the dimensions of the poster with the smallest area. Note: The answer to thi..
Let X be uniform on the set {1/2,1/3,1/4}, and let the distribution of Y |X = x be geometric with parameter x; that is, P(Y = k|X = x) = (1 - x)kx, for k = 0,1,2,..
A shipment of 7 television sets contains 2 defective sets. A hotelmakes a random purchase of 3 of the sets. If x is the number ofdefective sets purchased by the hotel, find the probability distribution of X.
Suppose that at a certain instant the volume is 600 cm3, the pressure is 150 kPa, and the pressure is increasing at a rate of 20 kPa min. At what rate is the volume decreasing at this instant?
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