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Rosa motors down the river with a current of 5 km/hr and the trip takes 3 hours. When she returns home against the same current it takes 4 hours. Findd the speed in still water and the distance one-way.
Also, if the variables in an equation were reversed, what would happen to the graph of the equation? This was the example I was given, how would the graph of y = x² relate to the graph of x = y²?
The messenger goes by land to a dock and then travels on a river against a current of 4 mi/h. He reaches the destination in 4.5 hours and then returns to the starting point in 3.5 hours. How far did the messenger travel by land and how far by wate..
Use the Chain Rule to find the indicated partial derivatives.
Use residues to evaluate the improper integral from 0 to infinity: Use Jordan's Inequality to evaluate the improper integral from -infinity to infinity:
(a) Find the Riemann sum for f(x) = x - 4 sin 2x, 0 x 3, with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.)
Coffee is being poured into a mug at a constant rate. Sketch a rough graph of the depth of the coffee in the mug as a function of time. Account for the shape of the graph in terms of concavity. What is the significance of the inflection point?
Description of Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
The perimeter of a rectangular lot is 56 meters. The length exceeds the width by 12 meters. Find the length of the lot.
Write and solve an inequality to find the possible number of times you can have Dream Pools clean your pool within your budget. Show your work and explain your thinking.
Solving probability problems based on combinations
Create an integral whereby you are forced to use all four types of integration. Work the problem and explain why each (u-substitution, trig substitution, fractions, parts) are all needed.
How much money can a person afford to borrow at 8% interest compounded semiannually if the loan is to be repaid at half-year intervals for 10 years with $1000 payments per half-year?
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