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1. If h(x) = √(6 + 4f (x)), where f (1) = 8 and f' (1) = 2, find h' (1).
2. Let f (x) = 2x3/ (3 - 3x)3.
Find the equation of line tangent to the graph of f at x = 2.
3. Let f (x) = 6x√(4 - 2x).
Find the equation to the graph of f at x = -2.
You are the manufacturer of a product that gives guarantees against failure. What is the expected amount of reimbursement that the insurer will pay each month?
a manager removed 3 pieces of electronic equipment at random from a display in an electronics store that featured 8
Kenneths mother ordered a pizza for his graduation party, The pizza has a diameter of 12 inches. What is the measurement of the radius of the pizza?
Run the AdaBoost algorithm four times and determine fboost after 4 iterations of the algorithm.
Joe wants to sell his horses for 500.00 each and his cows for 300.00 each for a total of 2100.00 for them all. How many horses and how many cows are Joe selling?
A rancher outside Houston decides to build a silo inside his corral. The rectangular corral measures 23 m by 17 m and the silo's base is circular with a diameter of x meters.
Suppose you have 82 feet of fencing to enclose a rectangular dog pen. The function A = 31x - x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the neare..
The mean weight of loads of rock is 43.0 tons with a standard deviation of 12.0 tons. If 9 loads are chosen at random for a weight check, find the probability that the mean weight of those loads is less than 38.60 tons. Assume that the variable is ..
Using the parametric equations x=3cost, y=3sint, 0≤t≤pi/2, find the surface area of the solid generated when y is rotated about the x axis.
A ranger in tower A spots a fire at a direction of 313. A ranger in tower B, located 60 mi at a direction of 51 from tower A, spots the fire at a direction of 299. How far from tower A is the fire? How far from tower B?
Solving probability problems based on normal distribution
Suppose that each time that you buy a car, you choose between Ford and General Motors. Suppose that each time after the first, you stay with the same company with probability 2/3 and switch with probability 1/3
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