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A wire lies along the piecewise linear curve extending from the point (2,4) to the point (10,6) to the point (10,9). If the density of the wire is given by p(xy)=2xy+4x , use a line integral to find the mass of the wire. p=rho
In a tank containing 100 gallons of fresh water, 10 lbs of salt was added instead of 20 lbs. To correct the mistake, fresh water was added at the rate of 3 gallons per minute while draining off the well stirred salt solution from the tank at the s..
Find the mean and standard deviation of the profit (in dollars) the retailer makes from selling a batch of lightbulbs and find an interval with the property that the retailer
A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. If the area of the pool and path combined is 600 square meters, what is the width of the path?
A textbook store sold a combined total of physics and biology textbooks in a week. The number of biology textbooks sold was less than the number of physics textbooks sold. How many textbooks of each type were sold?
Two pens and a pencil have a total length of 49 cm. Four pens and a pencil have a total length of 77cm. What is the total length of seven pens and a pencil?
Use integer programming to establish whole numbers for the solution variables.
A particle is moving along the curve y= 2 sqrt{4 x + 4}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this i..
Megan earns $20 an hour plus a $100 daily bonus. She uses a function to calculate her daily earnings. What is the inverse function of Megan's daily earnings function?
Use the side-angle inequality to show that in triangle ABC if the internal bisector of angle A meets BC at D and AB>AC , then DB>DC.
Imagine you are talking about your college math class over the family dinner table with your father, and he asks, "What are Venn diagrams?" Describe how you would explain them to him.
A class of students opens several bags, counts the various colors of jelly beans, and calculates the proportion that are pink in each bag. Is it appropriate to use a Normal model to describe the distribution of the proportion of pink jelly beans?
In a certain manufacturing process the probability of a type I defect is 0.14, the probability of a type II defect is 0.34, and the probability of having both types of defects is 0.04. Find the probability of having neither type of defect.
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