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Problem - f(x) = (x3 - 1/x3 + 1).
a) Find the domain of f(x), the intercept of f(x), and any symmetry of f(x).
b) Determine where f is increasing and where f is decreasing.
c) Find all local maxima and minima of f.
d) Determine where f is concave up and where f is concave down.
e) Find all inflection points of f.
f) Determine the vertical and horizontal asymptotes of f, if any. Justify your answer.
g) Sketch the graph of f, clearly indicating all of the information obtained above.
Suppose S is a multiplicatively closed subset of the ring R. Describe the kernel of the natural ring homomorphism R-->(S^-1)R
Calculus Question1): Find the Maclaurin series for the function f(x) = (1+x)^6 Question 2):- Sketch the graph and show all local extreme points and inflection points on graph.y = -x4 + 2x2 - 3
A plane flies 45 minutes at 150mph on a bearing of 35 degrees. It then turns and flies 90 minutes at the same speed on the bearing of 125 degrees. How far is the plane from the staring point?
at what angle must the submarine fire the torpedo to strike the carrier (report to 2 decimal places, i.e. 35.62 degrees). What is the running time of the torpedo? What distance does the torpedo travel?
A child slides down a slide with a 27o incline, and at the bottom her speed is precisely two-thirds what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction between the slide and the child.
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there are 640 available to build a fence around a rectangular garden. one side must be reinforced and will cost 12 per
Calculate the percentage of variance explained for r = 0.53. Is this correlation clinically important?
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