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A particle is moving along the curve y=4sqrt{2x+1). As the particle passes through the point (4,12), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
A drawer contains n=5 different and distinguishable pairs of socks (a total of 10 socks). If a person randomly selects 4 socks, what is the probability that there is no matching pair in the sample?
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
A car rents for $37 per day plus 20cent per mile. You are on a daily budget of $95. What mileage will aloow you to stay within your budget?
The investor uses the proceeds from the sale of the 12% bond to purchase a 8% bond with semiannual coupons, maturing at par at the end of ten years. Find the face value of the 8% bond.
Probability : Dice and Payoff c) in part a, if you bet one dollar that a sum of 10 will turn up, what should the house pay (plus returning your one dollar bet) if a sum of 10 turns up for the game to be fair?
Let U = {60 Minutes, American Idol-Tues., American Idol-Wed., CSI, CSI: Miami, Desperate Housewives, Friends, Grey's Anatomy, Law & Order, The Apprentice}. Construct a Venn diagram illustrating the sets.
Explain Isomorphism of Two Groups, Let G = (Q, +) and let K = Z be the subgroup of integers
The total surface area of a square based open-top rectangular box is 12 cm^2. Find the dimensions of the box of maximum volume.
Draw the unit circle and plot the point P=(3,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
Write the expression in the standard form a + b i. First convert to rectangular form--- calculate the magnitude-- find reference angle--then the argument of z---
Calculate the surface area of an unopened steel can that has a height of 5cm and a radius of 7cm.
Probability in poker, Find the probability of drawing a straight flush in poker
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