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An arrow shot straight up from ground level with an initial velocity of 128 feet per second will be at height h(x) = -16x2 + 128x feet at x seconds.
(a) Determine the velocity of the arrow when x = 0, 1 and 2 seconds.
(b) What is the velocity of the arrow, v(x), at any time x?
(c) At what time x will the velocity of the arrow be 0?
(d) What is the greatest height the arrow reaches?
(e) How long will the arrow be aloft?
(f) Use the answer for the velocity in part (b) to determine the acceleration, a(x) = v '(x), at any time x.
Let m = 400 and n = 100. Explain why a computer programmer might prefer to store the data from A in the form of two matrices C and D
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Carry out a backward error analysis for the calculation of the scalar product s = a1b1 + a2b2 + . . . + anbn Redo the analysis under the assumption.
A long straight fence having a pole every 8 feet is 1,440 feet long. How many fence poles are needed for the fence?
(a) what is the probability that the total life of both batteries will exceed 760 hours? (b) what is the probability that the second battery will outlive the first by at least 25 hours?
Assuming Raul had no new interest, determine his minimum payment due on December 1, his billing date.
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Explain the purposes of inductive and deductive reasoning in mathematics. Be sure to define both inductive reasoning and deductive reasoning and describe how each can help you develop and prove theorems.
Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficient as time goes on.
Then find a particular solution to the non-homogeneous equation.
What is the expected CD4 count for a patient taking supplements who has had HIV for 2.5 years? Whatis the expected CD4 count for a patient not taking the supplements who was diagnosed with HIV at study enrollment? What is the expected CD4 count for a..
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