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1. Let f (x) = sin(x) . For which values of x is f'(x) = 0?
2. Find the vertex of the parabola f (x) = x 2 + 2x + 2 using the derivative.
3. Find all functions f such that f'(x) = 0.
Explain how a block design can be used to set up this experiment and find the set of parameters ( v, b, k, r, λ ) of such a design where the number of testers is as small as possible.
Define integrated marketing communications. How is it coordinated with the promotional mix?
A manufacture has been selling 1250 television sets a week at $360 each. A market survey indicates that for each $12 rebate offered to a buyer, the number of sets sold will increase by 120 per week.
How much work w is done in pulling half the rope to the top of the building? How much work w is done pulling the rope to the top of the building?
The differential equation dy/dx+py = Q are function of x only, have integrating factor 3. The differential equation whose linearly independent solutions are cos 2x, sin 2x, and e-xis. The differential equation dy/dx = k (a - y) (b - y) when solved wi..
What would you say was the turning point in resurgence of interest in math to signal the end of the Dark Ages? at least seventy five words please
Find two positive angles and two negative angles between -720° and 1080° that are coterminal with the given angle of 95°.
Two pens and a pencil have a total length of 49 cm. Four pens and a pencil have a total length of 77cm. What is the total length of seven pens and a pencil?
Let C be the set of cities in the world, let N be the set of nations in the world, and let P(c, n) be "c is the capital city of n."
The life span of television sets built by a particular manufacturer is normally distributed, with a mean of 10.2 years and a standard deviation of 1.7 years. The manufacturer will replace a television set if it breaks before the guarantee period i..
Let p be a prime and let k = log2p be a positive integer. Design an efficient Las Vegas algorithm that computes k pairwise distinct quadratic nonresidues.
Describe the state space of this process. Explain why Xn forms a Markov chain and its transition probabilities.
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