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Let A be an n by n matrix, possibly not symmetric. Let B = A + AT . Prove B is symmetric and that B is negative semi-definite if and only if A is negative semi-definite.
A farmer has 360 feet of fencing to enclose wo adjacent rectangular corrals. What dimensions should be used to maximize the enclosed area?
Which of the following vectors is a normal to a line perpendicular to the line (x,y)=(3,4)+t(-5,6)
Discussion: Annuities and Sinking Funds Annuities and Sinking Funds 1. You need to know how annuities work because many financial planners advise their clients to have them for retirement planning. Do you think that you need them? If so, then how..
Find a vector function that represents the curve of intersection of x2 + y2 = 4 and z =x. Find the normal plane of the curve above at the point (0,2,0).
Pizza Crusts. At Pizza Perfect, Ron can make 100 large pizza crusts in 1.2 hr less than Chad. Together they can do the job in 1.8 hr. How long does it take each to do the job alone?
Assuming that the position function is continuous and differential during this 5 minutes interval, prove that the car broke the 55mph speed limit somewhere between points A and B.
ernie thayer hits a baseball and it travels 409.6 feet before it lands . when he hits the ball the ball is betweem 2
The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 30 Km apart. A fire spotted by rangers in each tower has a bearing of N 80° E from Pine Knob and S 70°E from Colt Station. Find the distanc..
Researchers asked a sample of 50 1st grade teachers and a sample of 50 12th grade teachers how much of their own money they spent on school supplies in the previous school year. They wanted to see if teachers at one grade level spend more than ..
Explain Probability of drawing apples from a sample, There are 8 spoiled apples in a container of 27 apples set for inspection. A sample is drawn, for 4 apples at random
One card is selected from the box at random, and the color on one side is observed. If this side is green, what is the probability that the other side of the card is also green?
Parts being manufactured at a plant are supposed to weigh 40 grams. Suppose the distribution of weights has a Normal distribution with mean 40 grams and a standard deviation 2 grams. Quality control inspectors randomly select 16 parts, weigh each,..
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