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Find each of the following for the given inner product defined in R^2
a) d(u,v)
b) < u,v >
< u,v >=3u(subscript 1)v(subscript 1) + u(subscript 2)v(subscript 2)
where u=(-4,9) and v=(0,4)
If C is the curve given parametrically by R(t)=cost(i)+sint(j)+2t(k) find the normal N and the binormal B for this curve @ t=0
Test the instructor claim at a 5% level of significance
Finding the dimensions of a rectangle using second derivative test - Find length and width should the rectangle have so that its area is a maximum?
discover that a certain prescription drug has an average price of $40 for $20 pills with a standard deviation of $5. Using this information, deduce with 95% accuracy where the national average cost of 20 pills lies
Four people select a main dish from a menu of 7 items. How many choices are possible: If a record is kept of who selected which choice (as a waiter would)
What is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced, as well as three and four machines?
Two distinct even numbers are selected at random from the first ten even numbers greater than zero.
A box with its base in the xy-plane has its four upper vertices on the surface with equation z=48-3x^2-4y^2. What is the maximum possible volume.
When she is 30, Sue starts making annual deposits of $2,000 into a bondfund that pays 8% annual interest compounded continuously. Assuming that her deposits are made as a contiuous income flow, how much money will be in her account if she retires ..
Use exponential smoothing to find the forecast of shipments
Let F be a finite field. Prove that F[x] contains infinitely many primes. (note that over an infinite field the polynomials of degree 1 are an infinite set of primes in the ring of polynomials).
A random sample of 11 patients using the drug is selected. Find the probability that exactly two will have this mild side effect
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