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If the price was $1.50 per gallon one week, and $2.00 the next week, what was your average price per gallon?
let f(x)=x^3+1. Find the point(s) on the graph of f where the slope of the tangent line is equal to 12, and find the equations of the tangent line at these points.
Suppose one manufacturer sells both of these products. How should the manufacturer set prices to earn the maximum possible revenue? What is the maximum possible revenue?
t an altitude of 8 miles and passes directly over a radar antenna. When the plane has a distance 10 miles from the radar, the radar detects that the distance in increasing at a rate of 300 miles/hour. What is the speed of the plane?
what is the probability that tourists will see fewer than four lions on the next one day?
A surveyor finds that a tree on the opposite bank of a river has a bearing of N 22 degrees 30'E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
If G = and H is a subgroup of G, show that H is the normal subgroup of G if and only if x^-1Hx contained in H for all x belonging to X. ALSO show that is normal in G if and only if gXg^-1 contained in for all g belonging to G.
Integral from zero to infinity of cos(x^2) dx = integral from zero to infinity of sin(x^2) dx = 1/2 * (square root of pi/2).
Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone.
Compare the mean of the sample means with the population mean.
A wooden artifact from an ancient tomb contains 80% of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)
explain how to find the derivative of a function if one is given the second derivative
a television network has eight 60-minute time slots for dramas and has 15 shows to choose from for the fall lineup. How many different lineups are possible?
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