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Problem 1. Evaluate ∫x2tan-1x3/(1+x6) dx
Problem 2. Evaluate ∫xtan-1/(1+x2)3/2 dx
Problem 3. Evaluate ∫dx/(x2-64)
Problem 4. Evaluate ∫dx/((2x+1)√(4x+3))
Problem 5. Evaluate ∫cosxdx/(acosx + bsinx)
Problem 6. Evaluate ∫√((a+x)/(a-x)) dx
Problem 7. Evaluate ∫x+8/√(x2+2x+5) dx
Problem 8. Evaluate ∫eax sinbx dx
Problem 9. Evaluate ∫sin4θ dθ
Problem 10. Integarate 1/(a sinx + b cosx)
Mike's Sport Shop deposits $3,600 at the end of each year for 12 years at 7% annual interest.
Jared buys a $12666 par value bond with monthly interest payments. If the bond's coupon rate is 4.1% and the current yield is 6.7%, how much did Jared spend on the bond?
Timmy enjoys playing old-fashioned video games. He found 3 game systems on eBay and wants to purchase a Nintendo game system, an Atari game system, and a Sega arcade game system.
An Air Force study indicates that the probability of a disaster such as the January 28, 1986 explosion of the space shuttle Challenger was 1 in 35. The Challenger flight was the 25th mission. How many disasters would you expect in the first 25 flig..
A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)
Euler Bank advertises that it com- pounds interest continuously and that it will double your money in 15 yr. What is its annual interest rate?
A function T:V→W between vector spaces V and W is called additive if T(x + y) = T(x) + T(y) for all x, y ∈V. Prove that if V and W are vector spaces over the field of rational numbers, then any additive function from V into W is a linear transform..
Prove, using only the definition of congruence modulo n, that if a ≡ b (mod n) and c ≡ d (mod n), then a+c ≡ b+d (mod n).
Find a recursive rule to generate the maximum number of parts that are obtained with n cuts using a cuboid when n= 1, 2, 3, 4, and 5.
We have explored a number of different statistical applications and tools. You need to share how you intend to use one or more of the tools
In a right-angled triangle, the hypotenuse is 34 cm. One of the short sides is 14 cm longer than the other. Find the lengths of the two short sides.
What is the mean of the sampling distribution of p ˆ, the proportion of adults in samples of 500 who favor giving parents of school-age children these vouchers?
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