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garik1379 [7]
2 years ago
10

You can refer to the top right for the correct answers for the both questions respectively, i have tried to no avail.

Mathematics
1 answer:
kvv77 [185]2 years ago
5 0
So i don’t think you have to calculate it, i think its asking to tell what tan Q is and cos Q is without solving for it. does that make sense?
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A school trip requires students to score at least a total of 335 points on four tests. Each test is worth 100 points. If a stude
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D. 81

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∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{
photoshop1234 [79]

Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C

Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

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