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Question: 1. We know that 1 = 1. It turns out that 2+3+4 = 1+8 and that 5+6+7+ 8+9 = 8+27 and that 10+11+12+13+14+15+16 = 27+64. Does this generalize? Write out a general form for the pattern this follows, and then either give a counterexample or a proof.
2. Which two of the previous problems give different ways of counting the same quantity?
A person can generate about300 Wof power on a treadmill. If the treadmill is inclined at 2% and a 70-kgman runs at 3m/s for 45min, consider the following.
Find which two variables have the weakest strength of relationship?
Explain why those rates may be more meaningful as a measure of change across time than the actual numbers of those events."
Suppose f(x) = 12e-x. Find the Taylor Polynomial of degree n = 3 about a = 0 and evaluate at x = 4/100.
Roger and Larry entered into a valid contract for the rental of the apartment. (Note: The issue of whether or not a contract exists is NOT part of this question. For purposes of this question assume the contract is valid and there are no issues wi..
The Rent-A-C.4 car rental company allows its customers to pick up a rental car at one location and return it to any of its locations. Currently, two locations (1 and 2) ilave 1 6 and 18 smplus cars, respectively, and four locations (3, 9, 5, and 6) e..
What is the probability that the business man's third flight is on time for at least two of his trips during the year?
A guided missle is propelled from the origino of a coordinate system with the xaxis along the ground and the y-axia vertical. it's path, or trajectory,
Ms.Johnson works a basic week of 35 hours at the rate of $3.76 per hour. Calculate her earnings for a basic week.
A ball is thrown vertically upward with an initial velocity of 48 feet per second. If the ball started its flight at a height of 8 feet, then its height s at time t can be determined by: s(t)=-16t squared +48t+8.
The average global temperature is 58°F and rising by 0.2°F per decade. How fast are annual sales of Bermuda shorts increasing?
Find the mean score
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