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Find the volume of a triangle with sides y = 2, y = x+1, y = 11-x. The vertices are (5, 6), (1, 2) and (9, 2). Find the volume by rotating about y-axis:
(i) Method of disks
(ii) Cylindrical shell method
A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by:f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0
Determine the minimum production level required for a day's production to be in the top 5% of production levels.
Discrete Structure Assignment: - The Fibonacci numbers are defined as follows: f0 = 0, f1 = 1, and Fn = F n-1 + F n-2 for n >=2, Prove each of the following three claims:
Consider a state lottery that has a weekly television show. On this show, a contestant receives the opportunity to win $1 million. The contestant picks from 4 hidden windows
Formulate a linear programming model for the problem.
The format for the final answer should be similar to this one: if the problem is tan^(-1) * (2i). answer: (n + 1/2)*pi + (i/2) * ln(3) , (n =0, +-1, +-2,...)
The linear equation x=-1 graphs as a horizontal/vertical/diagonal line(choose the correct label). Describe how you determined your answer.
Evaluate the exact value of the trigonometric functions - Use common trigonometric identities for the functions given to find the indicated trigonometric functions.
Evaluate the maximum revenue using cost and revenue function.
You are the process improvement manager and have developed a new machine to cut insoles for the company's top-of-the-line running shoes.
A car goes from station A to station B with a speed of 80 km/h and returns from B to A with a speed of 120 km/h. Find its average speed during the whole journey.
Probability: Problems and Solutions, How many ways are there of drawing a red, a black, and a green ball from a bucket with 2-Red, 2-Black, and 5-Green balls?
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