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Quiz 1 - Math 53, section 213
1. For the parametric curve given by x = t2 + 1, y = t2 + t, find dy/dx and d2y/dx2 in terms of t. For which values of t is the curve concave upward?
2. Identify the curve - r2cos(2θ) = 1, by finding a Cartesian equation for the curve.
In mountain communities, helicopters drop chemical retardants over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 ft.
university of maryland is concerned that out of state students may be receiving lower grades than maryland students.
Complete the square and sketch a graph of the following ellipse. Give the coordinates of the centre and the four vertices. What is the length of the major axis?
Interpret the confidence interval in a single sentence
The probability of failure for taking the bar exam in Philadelphia is 41%. If 375 people take the bar exam, what is the expected mean number of failures?
The intersection of two open sets is compact iff it is empty. Can the intersection of an infinite collection of open sets be a non-empty compact set?
John sells his house and earns a profit of $600,000. With the profit, he buys a 20 year annuity that earns 6.5% interest compounded monthly. What monthly payment will John get?
In trip calculation, it is observed that a Wal-Mart store driver successfully made a total of 104 trips in a given period of time. During field calculation, it is shown that the calculated number of trips is actually 128. What is the value of the ..
A fluid at 0.7 bar occupying 0.09 m^3 is compressed reversibly to a pressure of 3.5 bar according to a law pvn = constant. calculate the net work of the cycle
Multiple choice question from Probability and Set Language and valid probability distribution for a sample space
In order for a barge to travel 24 mi upriver and then return in a total of 5 hr, approximately how fast must the barge be able to travel in still water? 30. Navigation. The Hudson River flows at a rate of 3 mph. A patrol boat travels 60 mi upriver..
Write a formula to express the following sentence: The sale price is 20% off the original price. Use S for sale price and P for original price to express S as a function of P.
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