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GenaCL600 [577]
3 years ago
7

If f(x)=(x^2-2x-1)^2/3, then f'(0) is?

Advanced Placement (AP)
1 answer:
MakcuM [25]3 years ago
3 0
F'(x)=(2/3(x^2-2x-1)^-1/3 )*(2x-2) chain rule here

f'(0) is equals to substitute x with 0. Which gives

f'(0)= (2/3(-1)^-1/3)*(-2)

Plug in the calculator, and your answer is ready
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John gets a weekly allowance of $20 from his parents. The only thing he has a real interest in buying is a big slice of pizza af
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From the above table we can see the MU from consumption of 6th spice is zero. Therefore, John will consume 5 slices of Pizza.

<h3> If John purchased 8 slices, what total utility would he enjoy?</h3>

When he consumes 8 slices of Pizza then the total utility that he will derive will be:

TU = 20 + 12 + 10 + 6 + 2 + 0- 2 - 6

= 42 utils.

<h3>What is the complete table that shows the marginal utility per dollar for each slice of pizza and each funnel cake?</h3>

See the attached table I in the attached.

<h3>Assuming John’s parents do not allow him to use any savings, what is his optimal consumption bundle of pizza and funnel cakes? </h3>

When John expends all of his income and cannot use his savings, he will maximize his overall utility.

Then he will maximize his TU when the MU/$ of the two commodities are equal. According to the preceding data, the MU/$ is equivalent for the following combinations. See table II in the attached.

From the chart above, we can see that he can spend up to $ 20 if he consumes three pieces of pizza and four funnel cakes.

However, because he cannot spend his funds, he will have fewer than three slices and four funnel cakes.

As a result, he will give up 1 slice of pizza because the third slice provides him a MU of 10 utils and the fourth piece of Funnel cake gives him a MU of 20 utils.

The optimal consumption basket contains two pieces of pizza and four funnel cakes.

<h3>At John’s optimal consumption bundle, what total utility will he gain?</h3>

Total Utility is given as:

(20+12)+(50+40+32+20)

= 32 + 142

= 174 utils.

Learn more about utility at;
brainly.com/question/24922430
#SPJ1

Download xlsx
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