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Consider the equation below. (If you need to use -AcˆA3 or AcˆA3, enter -INFINITY or INFINITY.)
f(x) = 2x3 + 3x2 - 180x
(a) Find the intervals on which f is increasing. Enter the interval that contains smaller numbers first.
Find the interval on which f is decreasing.
(b) Find the local minimum and maximum values of f.
(c) Find the inflection point.
Find the interval on which f is concave up.
Find the interval on which f is concave down.
Use the dot product to determine whether v and w are orthogonal. Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and v2 is orthogonal to w
Create a system of equations that includes one linear equation and one quadratic equation and create a rational equation that has an extraneous solution.
Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last year, Mona Header failed the test, but claimed that this was due to the early hour. (The fitness test is traditionally give..
Write an equation that represents the outside edge of the exercise ring. The equation of the outside edge of the racetrack is . Sketch the outside edge of the racetrack on the graph.
Jen invested a total of 500 dollars, part of it at 9 percent interest and the rest at 10 percent. If 48 dollars was earned from the investment, how much money was invested?
The largest set on which the functionf(x,y)=1/(16-x2-y2)is continuous is?A. The interior of the circle x2+y2=16 B. The exterior of the circle x2+y2=16
Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value.
How many cups of salt should be added to five cups of mixture A so that the resulting mixture has equal amounts of salt and pepper?
a baseball is hit 3 feet above home plate. It will reach its highest point of 83 feet 125 feet from home plate.
Find the number of pairs of noon-intersecting lattice paths
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.
A 6 foot tall man is standing near a tree on level ground. If the man's shadow is 4 feet long, how many feet tall is the tree?
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