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Solve the given problems by finding the appropriate derivative.
A computer is programmed to inscribe a series of rectangles in the first quadrant under the curve of y = e-x What is the area of the largest rectangle that can be inscribed?
jack and jill ran an 100 meter race. jill ran the race in 10 secs and won by 5 meters, thus jack was at 95 meter when she crossed the finish line. who will win the second race and by how many second?
what is the probability that this child is 14 yrs old?
Maximize f = 2x + 6y subject tox + y ≤ 72x + y ≤ 12x + 3y ≤ 15
graham walked to school at an average speed of 3 miles an hour and jogged back along the same route at 5 miles an
Important information about Binomial Random Variable, Four cards are selected, one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in a set of 4 cards.
HIV Death Rates, which contains the death rates per 100,000 people for HIV related diseases in the US. a. Make a scatter graph of the data with a trendline. Copy and paste the graph here.
Find the equation of the tangent line to the graph of the function f(x) = x + 3^-2x - 2sin(x) at the point with x-coordinate 0.
Show that these topologies are the same and What is the resulting space and identify the familiar quotient space given by this relation and then show precisely that the quotient topology on this space is the same as the usual one.
an input-output matrix for a three-sector economy a simple economy consists of three sectors agriculture a
Rectangular trench is to be dug which is to be 240 ft long, 90 ft wide and 9 ft deep. A large dumb truck can carry 20 cubic yards in a load. How many truck loads will be required to remove
a plane leaves the aircraft carrier and heads due north at 500km/h. The aircraft carrier heads 30 degrees west of south at 35km/h. The plane only has 4 hours worth of fuel left. Calculate the distance the plane travels north, so that the plane can..
What is the magnitude of the rate of change of temperature in that direction? In what direction should the bug move from P for the temperature to increase the fastest? (Give your answer as a unit vector.)
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