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3 years ago

Owen and Jesse go to a restaurant for breakfast.

Mathematics

2 answers:

alekssr [168]3 years ago

8 0

Part A: D
21,60 x 107% =23,11
Part B: D
23,11 x 115% =26,58

ozzi3 years ago

3 0

Answer: Both of the answers are D

Step-by-step explanation:

21,60 x 107% =23,11

Cost of meal and tax

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$y=x(\arctan x)^{1/2}$

Use the product rule first:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dx}{\mathrm dx}(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

Use the chain rule to compute the derivative of $(\arctan x)^{1/2}$ . Let $z=(\arctan x)^{1/2}$ and take $u=\arctan x$ , so that by the chain rule

$\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

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So we have

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+\dfrac x{2(\arctan x)^{1/2}(1+x^2)}$

You can rewrite this a bit by factoring $(\arctan x)^{-1/2}$ , just to make it look neater:

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For this case we have the following subtraction:

$12-7$

We can rewrite the subtraction in an easier way.

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Then, by doing associative property we have:

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The value of the subtraction is given by:

$12-7 = 5$

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