Critical values correspond to a local minimum
The critical values of f(x) = 4x3 - 48x + 24 are x = -2 and x = 2. Employ the first derivative test to find out which of the critical values correspond to a local minimum.
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Compute the higher degree derivatives till it becomes zero: f(x) = 2x^6 + 5x^4 - 2x^3 + x^2 - 10 f(x) = 8x^4 - 4x^3 + 5x^2 + x + 2.
Let S be a finite set with |S| = N and let c1, c2, c3, c4 be four conditions, each of which may be satisfied by one or more of the elements of S. Prove that N(c2c3c4) = N(c1c2c3c4) + N(c1c2c3c4).
There are two girls and two boys that walk into a movie theater and sit down. What is the probability that two girls are next to each other.
Dev and Jay are betting upon cards. Throughout Round 1 Dev wins and beats Jay. During round 2 Dev wins and beats Jay. The two scores are combined from both rounds and it is found that Jay beat Dev. How is this possible?
How many copies of game should the company produce throughout each production run in order to minimize its total storage and set-up costs?
A 60 room hotel is filled to capacity every night at rate of $40 per room. The management wants to find out if a rate raise would increase their profit. They're not interested in rate decrease. Assume management finds out that for each $2 raise in
The productivity of a main manufacturer of microwave ovens is given approximately by the Cobb-Douglas production function f(x, y) = 45x^0.1y^0.9 with the utilization of x units of labor and y units of capital.
Find the base of a triangle with a height of 14 meters and an area of 112 square meters. Please show all work and show diagram
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