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Consider the function f : [-π, π] → R given by f(x) = (e-x)*sin x
(a) Calculate local maxima/minima and points of inflection of f(x).
(b) Draw the graph of y = f(x) indicating and explaining the main features.
the formula for the area of a triangle is A=1/2bh, where b represents the base length, and h represents the height. The perimeter of the triangle is 28 inches. Write an equation for the area A of the triangle in terms of its base length b.
The height is 4 feet longer than the length of a shelf. If 20 feet of lumber is abailable for the entire unit, except the back, find the length and height of the unit.
when a cake is removed from a baking oven its temoperature is measured at 300F. three minutes later its temperature is 200F.how long will it take to cool off to a room temperature of 70F?
finding the occurrence of the supernova using the information given in the problem.in a.d. 1054 chinese astronomers
Rewrite the constraint in standard form: y > -3x + 14
Find the equation of a line through (2,3,7) parallel to the line of intersection of the planes 2x + y + z = 0 and x-y +7z = 0.
What is the estimated speed of a car that left a skid mark of 110 feet? Round your answer to the nearest mph.
a hardware store bought enough digits for two of every house number from 1 to 999. How many digits did the store purchase for house numbers.
For each of the following properties, find a binary relation R such that R has that property but R^2 (R squared) does not:
Simple Probability, Sample Spaces, Events, A couple has three children, assume the likelihood of a boy is the same as a girl:
Calculating the probability from a given situation using combinations. A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random.
Use the set-builder notation to write the set of odd intergers greater than 4.
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