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Triple integral of a generic right tetrahedron

Setup and evaluate the triple integral whose bound is the right tetrahedron where the vertices are (0,0,0), (A,0,0), (0,B,0,), and (0,0,C). I know the ultimate formula is (1/6)ABC and I need to show t

Find or evaluate the integral

The integral from 1 to e^(pi/2) of the function: cos[ln(x)]dx I know you need to integrate by parts, but I dont see how to on this one. If you could show me how you got the answer that would be helpfu

How many days could you wear a different outfit

For a vacation you pack 3 pairs of sunglasses, 2 Hawaiian shirts, and two hats. How many days could you wear a different outfit? Employee identification codes at a company contain 2 letters followed

Really?? A very easy 10 points simple problem! :)

The teacher’s aide made copies of a set of pages for each of the 25 students in class. Each student received the same number of pages to complete in the packet. If Deborah has completed 7 pages and st

Linear algebra bonus question VERY HARD.

Here is the problem: http://s2.postimage.org/ml7m30eua/Bonus.… This problem is really hard.. Can someone help me out with this.. Thank you so much-It can be proved by induction on n, computing D^n

VECTORS PROBLEM! PLEASE HELP!

AB = a + tb and CD = a + (3t – 5)b where t is a number. Find the value of t when AB = CD . I need a step by step answer please. Thanks!-if AB = CD then a + tb = a + (3t - 5)b → tb = (3t - 5)b → t

Richard took a loan of $10,000 at a rate of 7%. If he paid $14,00 in interest, how many years did it take him

to pay ck the loan?-you really need to say if these are simple interest or compound interest problems if simple interest I = Prt 14000 = 10000 * .07 * t 14000 = 700t 14000 / 700 = t 20 = t or did yo

Need help with 7th grade math !!

Pablo rolled a standard die 60 times. He got a 1 twelve times. How does this result compare to the expected resultsexplainnn-Die has 6 outcomes, each with probability of 1/6 If you roll a die you wou

Trig Identity question

For the identity cos x + (cos x tan^2 x) = sec x Show that it is true for x = 30 deg, using exact values please help i am so stuck on this question Thanks in advance-30 degrees is one of the special

Check My Algebra Work

Explain how you would find the exact value of 3/√8 (Dividing Radical Expressions)-first step would to be in getting the denominator from out of the radical by multiplying it by itself and whatever you

Find the indefinite integral: (6x3 - 3x + 1) dx

Use k for an arbitrary constant. Dx and dx are not the same. All the coefficients are integers.-separate into 3 integrals integral(6x^3 dx)-integral(3x dx)+integral(1 dx)+k 6[integral(x^3 dx)]-3[in

Sum the series up to n terms(DIFFERENCE SERIES)

Sum the series: sin θ sin 2θ sin 3θ + sin 2θ sin 3θ sin4 θ + sin 3θ sin 4θ sin 5θ + ... to n terms-sigma (from n = 1 to n) = sin (n) * sin (n+1) * sin (n+2)

Determine the Integral : ∫ [1+(e^-x)^1/2]/(e^x)^1/2 dx

Note that, by the laws of exponents, you can write: [e^(-x)]^(1/2) = e^(-x/2) and (e^x)^(1/2) = e^(x/2). So, we have: ∫ {1 + [e^(-x)]^(1/2)}/(e^x)^(1/2) dx = ∫ [1 + e^(-x/2)]/e^(x/2) dx = ∫ [e^(-x/2)

Difficult Trig Question Involving Sine/Cosine

So my math teacher, who is a Columbia finance graduate, told us he had a difficult math problem, that he believes would be a good SAT question. I tried for a while, but got nowhere close to the answer

Permutations/Combinations/Probability/Statistics/Finite Math HELP!!!!

I need help with the following math questions. Please help with which ever u can. Its a study guide, and my final is at 6 pm, I need to know how to get these answers to do well on the final! thanks!
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