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A telemarketing company estimates that it will be able to contact T(x) = 0.03x4 + 1.6x3 customers by hiring x new employees, where 0 ≤ x ≤ 50. What is the point of diminishing returns and the maximum rate of change of customers contacted? Explain the meaning of these values in the context of the problem.
Use vector techniques to prove that a triangle and its medial triangle have the same centroid. You may take it as a given fact that the location of the centroid of triangle ABC is the vector (vector OA + vector OB + vector OC)/3.
explain three methods for calculating credit card interest and your reason for going with a particular method.provide
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Describe (in words) two different sets of people containing you as a member. Describe (in words) the complement of each set. Describe what people are not in either the original set or the complement set.
If a ball is thrown into the air with a velocity of 50ft/s, its height in feet after t seconds is given by y = 50t - 16t^2. Find the average velocity for the time period beginning when t = 3 and lasting 0.05 s.
A bounded function defined on a closed bounded interval
How is the evolution of all the new technology effecting human work/jobs? How is it hurting humans and how is it helping? Paper has to be 4-6 pages.
If a skateboarder leaves a ramp at 25 feet per second and attains a height of 4.7 feet after one sec what is the angle of her ramp?
(1) The Golden Ratio is the number φ = 1+ 5 . Is φ constructible? (2) Textbook section 12.5, problems 1, 4, 5, 7, 11, 12, 15, 18, 25.(3) Textbook section 12.5, problem 16: Prove that the following equa- tion has no constructible solutions:x3 - 6x..
Determine the coordinates (tm, ym) of the maximum point of the solution as function of β. Determine the smallest value of β for which ym ≥4. Determine the behaviour of tm and ym as β→∞
Let v1 and v2 be vectors in R^n. Show that (prove) the set of all vectors w, an element of R^n such that w is orthogonal to both v1 and v2, is a subspace of R^n.
The inflection points and global extrema.
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