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marissa [1.9K]
3 years ago
11

For many people, unexpected bills can throw a monkey wrench into the best-planned budgets. Imagine you have planned out your mon

thly budget and it appears you will have 200 dollars left for savings at the end of the month. However, your car breaks down unexpectedly and it will cost 500 dollars to replace the alternator.
Write out as many options as you can think of to take care of the car repair (you can even suggest not making the repair right away, but then you need to explain how you will get to class and anywhere else you need to go).
Advanced Placement (AP)
1 answer:
Tanzania [10]3 years ago
8 0
<span>One option would be to put the repair on a credit card and delay payment. You could also ask to borrow the additional money needed from a friend or a family member. You could take public transportation until you have saved enough money to fix your car but this won't be without costs of its own. Lastly you could try and find a friend or family member who is a mechanic and would be willing to do the repair for less money.</span>
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Integrate sec(4x)tan(4x)dx
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Answer:

sec(4x) + C

Explanation:

original problem: ∫sec(4x)tan(x)dx

use integration by substitution (u-sub) by setting u = 4x

if u = 4x, then du/dx = 4 and du = 4dx (dx = du/4)

after substitution the integral is ∫sec(u)tan(u)(du/4)

move the 1/4 out of the integral by using the integral Constant rule to form 1/4∫sec(u)tan(u)du

the anti-derivative of sec(u)tan(u) is sec(u), memorize your trigonometric derivatives!!!!

after integration, we get sec(u)/4 + C , now plug u back into the equation

sec(4x) + C is the general solution

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