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Unless otherwise specified, assume that all matrices in these exercises are n X n. Determine which of the matrices in are invertible. Use as few calculations as possible. Justify your answers.
A box with a square base and open top must have a volume of 500000 cm3. Find the dimensions of the box that minimize the amount of material used.
Imagine yourself at a fair playing one of the midway games. Pick a game and calculate the expected value and post your results along with how you calculated them.
The zeros of this polynomial are the eigen values for the system. So, to find the eigen values for a system means solving a polynomial equation.
A fish tank in the shape of a rectangular prism has dimensions of 15 inches and 12 inches and 8 inches the tank contains 1152 cubic inches of water. What percent is the fish tank empty?
The MEDIAN function would identify the ____.
Find the future value of an ordinary annuity that has $270 monthly payments for 9 years if the account receives 3 3/4% interest.
What are the Sum of Squares between (SSB) and what is the degress of freedom within (dfW)
How far from the firing point will the projectile be when it is 70 feet high? What is x? What is h(x)? Which are you being given and which do you need to find?
Estimate the volume V of the mound by computing the average of the two Riemann sums4,3 with lower-left and upper-right vertices of the sub rectangles as sample points.
Vanilla Box Company is going to make open-topped boxes out of 19 × 11-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way?
What process do you use to solve a system of linear inequalities? How do you know where to shade and whether the lines should be dotted or solid?
Find a formula for the current price (i.e. at time t = 0) of this contingent claim. The formula has to be explicit in the sense that one could feed into a computer program just like the Black-Scholes formula.
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