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During World War 2, a U.S. navy submarine, sitting at a full stop on the surface of the Philippine Sea facing due north sights a Japanese Aircraft Carrier 5 miles, dead ahead. The carrier is sailing due east at a speed of 10 MPH. If the submarine carries torpedoes that run at 40 MPH, and it takes 3 minutes to aim, load, and fire the torpedo, at what angle must the submarine fire the torpedo to strike the carrier (report to 2 decimal places, i.e. 35.62 degrees). What is the running time of the torpedo? What distance does the torpedo travel?
What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.5?
Differentiate the function f(x) =
let p(x) = 7- 3(x-4)+5(x-4)^2 - 2(x-4)^3 + 6(x-4)^4 be the fourth degree of polynomial for the function f about 4. Assume f has derivatives of all real orders.
Why is differentiation not a linear transformation from V to V? What is the image of V under the operation of taking the second derivative?
A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 10 in. by 17 in. by cutting equal squares from the four corners and turning up the sides.
Express logarithm into exponential form and solve logarithmic equation and solve the log 4 2 = 1/2 in exponential form.
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 ..
Let U = {60 Minutes, American Idol-Tues., American Idol-Wed., CSI, CSI: Miami, Desperate Housewives, Friends, Grey's Anatomy, Law & Order, The Apprentice}. Construct a Venn diagram illustrating the sets.
Let V be a vector space and u, v, w belong to V. rove that u-v, v-w, and w-u form a linearly dependent set.
Consider the following linear mapping from C[-pi,pi] into itself: L(f)=integral from -pi to pi of G(x),h(y),f(y)dy for any function f(x) in C[-pi,pi].
Set up the inequalities representing the baker's possible choices for baking the number of loaves of bread and muffins to use up his available resources (wheat and sugar).
A random sample of 700 NAU students in Flagstaff found 287 NAU students who drink coffee daily. Find a 95% confidence interval for the true percent of NAU students in Flagstaff who drink coffee daily. Express your results to the nearest hundredth ..
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