sheikhdiesel

∫e^(0.08t) * e^(0.12(20 - t)) dt

I just simplified the right term to e^-12t + 2.4. Which I rewrote combing both e and getting:

∫e^(0.08t +2.4 - 0.12t) = ∫e^(-0.04t + 2.4) dt and too the intergral of that, am i right?

a. ∫x^3e^(x^2)dx

b. ∫xln (1+x)dx

a. ∫x^2 (8-x)^(9) dx

b. ∫1/xlnx dx

c. ∫x^2 / √(4x^3 - 1)

∫x^3 (x^2 + 1)^(3/2)

I tried things like setting u = X^3 and then Du = 2x^2, but I need it to somehow be x^2 +1..???? Really confused could someone direct me in the right direction. Any help would be great.

a. ∫ (xe^-x2 + ((e^x) / (e^x + 3))

i don't know which term to make u and which on to make du. I know for sure you have to use U-substitituion but don't know where. Anyone who can help would be great.

b. ∫ Upper bound: e lower bound 1 : e^-x / ((1+e^-x)^2) dx

∫ (x) / √(x-2) dx

Let u = x - 2. Then du = dx because the derivative of x - 2 is 1 - 0 = 1 times dx.

Note that x = u + 2. Making these substitutions the integral is now

INT {(u+2)/sqrt(u)} du

INT {(u+2)/u^(1/2)} du

INT {u^(1/2) + 2u^(-1/2)} du ------> (I don't understand where the (1/2) comes from?????)

(2/3)u^(3/2) + 4u^(1/2) + C

(2/3)(x - 2)^(3/2) + 4(x - 2)^(1/2) + C

∫ (x) / √(x-2) dx

I set u = x-2 but I don't know what I should set du equal.

Integrate the following:

∫ √(2x + 1) dx

Rewrite: ∫ (2x + 1)^(1/2)

Let u = 2x + 1 ; Let du = 2 dx

In the equation du = 2 dx, I divided both sides by 2 and got du/2 = dx

∫ u^(1/2) * du/2 = 1/2∫ u^(1/2) * du = ∫ 2/3u^(3/2) * du = 1/3 ∫ (2x + 1) ^(3/2) + C

Integrate the Following:

a. ∫(x^4 + 2x^3 - 1/x) dx

My answer: ∫ (x^5/5) + (x^4/2) - ln abs(x) + C

f(x) = 4/3x

f(x) = 4/3x

f(x) = 4/3x

Give the domain of definition of the function f(x) = (√x-2) / (√ x+3)

P.S In the problem, the whole fraction is under a giant root, I just broke it up, since I can't make the giant root symbol.

Many small business have to squeeze down costs any way they can just to survive. One way many businesses do this is by hiring workers as "independent contractors" rather than as regular employees. Unlike rules for regular employees, a business does not have to pay Social Security (FICA) taxes and unemployment insurance payments for independent contractors. Similarly, they do not have to withhold federal income taxes or the employee's share FICA taxes. The IRS has a "20 factor test" that determines whether a worker should be considered an employee or a contractor, but many businesses ignore those rules or interpret them loosely in their favor. When workers are treated as independent contractors, they do not get a W-2 form at tax time (they get a 1099), they do not have any income taxes withheld, and they find themselves subject to "self-employment" taxes, by which they bear the brunt of both the employee and the employer's share of FICA taxes.

Requirement

1. When a business abuses this issue, how is the independent contractor hurt?

2. Id a business takes an aggressive position - that is, interprets the law in a very slanted way - is there an ethical issue involved? who's hurt?

Western Bank & Trust purchased land and a building for the lump sum of $3,000,000. To get the maximum tax deductions, Western allocated 90% of the purchase price to the building and only 10% to the land. A more realistic allocation would have been 70% to the building and 30% to the land.

Requirements

1. Explain the tax advantage of allocating too much to the building and too little to the land.

2. Was Western's allocation ehtical? If so, state why. If not, why not? Identify who was harmed.

1. what accounting principal is broken when a company switches from one accounting method (ex FIFO) to another (ex LIFO) every year?

2, Who can be harmed when a company changes its accounting methods too often? How?

f(x) = 2x / 1 + lnx

A rock is thrown into a still pond causes a circular ripple. If the radius of the ripple is increasing by 2 feet per second, how fast is the area changing when the radius is 10 feet. [ A = piR^2, pi = 3.14]

f(x) = 2x / 1 + lnx

My learner permit did not expire, but will in about a week and half. I want to extend my permit because I'm not ready to take the test, so would I have to reapply, take the test and pay the fee again? or is there a different option?

Thanks for all the feedback/comment.