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The graph of the derivative f' of a continuous function is shown (Figure 1).
(a) Find the intervals where f is increasing?
(b) Find the intervals where f is concave down.
(c) Find the x-coordinates for relative maxima and minima for f. Clearly label which are maximum and which are minimum.
Two poles are set a = 60 feet apart, but the point of attachment P for the rope is yet to be determined. Express the length L of the rope as a function of the distance x from P to the ground.
A manufacturing cell claims they make 500 parts per day. D etermine if their claim is correct.
according to the rules in a certain soccer league the mass of the ball should be 430 grams plus or minus 20 grams.
Find the values of f(x) at which each of the following functions is discontinuous. Why is the function discontinuous at that value?
The expression 200 - 16t2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped. Find the height of the object after 1.25 seconds.
To determine the dimensions of a rectangular container and evaluate the derivative of the given equation.
Find the Taylor series expansion of the function f (z) = 1-z/1+z centered at 0, using two methods, By direct application of the coefficient formula. Produce three terms of the expansion
Find the cost of the shortest length of carpet.
the peachtree airport in atlanta serves light aircraft. it has a single runway and one air traffic controller to land
a manufacturer can produce cassette tape records at a cost of $40 a piece,its estimates that if the tape records are sold for p dollar a piece.consumer will buy 120-p of them a month , express the manufacturers monthly profit as a function of pric..
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with a diameter 50m. (Answer should be in cubic meters, rounded to two decimal places.)
a closed box whose length is twice its width is to have a surface of 192 square inches. find the dimensions of a box when the volume is maximum.
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