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For the function, s = f(t) = 2t^2, where s = f(t) is the distance of an object moving in straight line from a fixed point t seconds after the clock starts, use the difference quotient in the preceding slide to calculate the approximate instantaneous speed when t = 3 and h = 0.01.
Find the 24th percentile. Seventy six percent spend than what amount of time?
Calculate the probability assuming a fair die is thrown twelve times.
Use the data entry method on your scientific or graphing calculator to enter the n =5 observations. Find the sums of squares and cross-products, Sxx, Sxy.
Use a graph to explain how you know whether the tangent line approximation is an under- or overestimate for 0 = x = p/2.
Calculate the present value of each of the future payments and calculate the NPV for investment scheme A. Is this scheme profitable?
An Airplane flies 410 miles with wind and 330 against wind in the same lengthof time. If speed of the wind is 20mph, What is the speed of the airplane in still air?
Solving probability problems based on Binomial distribution
INVESTMENTS Mr. and Mrs. Garcia have a total of $100,000 to be invested in stocks, bonds, and a money market account.
There are infinitely many stations on a train route. Suppose that the train stops at the first station and suppose that if the train stops at a station, then it stops at the next station. Show that the train stops at all stations.
Suppose X1, X2, . . . , Xn ⊂ R2 are convex sets such that through every four of them there exists a line intersecting them. Prove that there exist two lines l1 and l2 such that every Xi intersects l1 or l2
1. Convert the polar coordinates (-3, 135º) into rectangular coordinates. Round the rectangular coordinates to the nearest hundredth.
A warm can of soda is placed in a cold refrigerator. Sketch the graph of the temperature of the soda as a function of time. Is the initial rate of change of temperature greater or less than the rate of change after an hour?
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