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Question: You jump out of an airplane. Before your parachute opens you fall faster and faster, but your acceleration decreases as you fall because of air resistance. The table gives your acceleration, a (in m/sec2), after t seconds.
(a) Give upper and lower estimates of your speed at t = 5.
(b) Get a new estimate by taking the average of your upper and lower estimates. What does the concavity of the graph of acceleration tell you about your new estimate?
describe the possible echelon forms of the matrix
a rectangular piece of cardboard, whose area is 320 square cm, is made into an open box by cutting a 2-cm square from each corner and turning up the sides. if the box is to have a volume of 384 cubic cm, what size cardboard should you start with?
Blending Coffees. The Coffee Counter charges $9.00 per pound for Kenyan French Roast coffee and $8.00 per pound for Sumatran coffee. How much of each type should be used to make a 20-lb blend that sells for $8.40 per pound?
If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).
A new bone study is being planned that will measure the biomarker TRAP described in Exercise 6.17. Using the value of σ given there, 6.5 U/l, ?nd the sample size required to provide an estimate of the mean TRAP with a margin of error of 1.5 U/l fo..
The length of every vector is a positive number.
the wheel revolves at a rate of πrad/min and the observer's line of sight with a specific seat on the Ferris wheel makes an angle Ø with the horizontal. at what time during a full revolution is Ø changing most rapidly?
Williams Auto Top Carriers currently maintains plants in Atlanta and Tulsa to supply auto top carriers to distribution center in Los Angeles and New York.
Find the distance from the origin to the point on the line y=-2x+3 that is closest to the origin. Round your answer to two decimal places.
A fireplace arch is to be constructed in the shape of a semi ellipse. The opening is to have a height of 40 inches at the center and a width of 82 inches along the base.
a garden table and a bench cost combined. The garden table costs more than the bench. What is the cost of the bench?
Please answer this question carefully. You have all the tools needed to answer it, but several math Ph.D.'s are on record (in Parade Magazine) giving the wrong answer.
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