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Sonja [21]
3 years ago
13

Find (f^-1)'(a): f(x) = 3+x^2+tan(pi(x)/2), -1

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0
(f^-1)'(a)=1/f'(f^-1)'(a)
f(a) =3 = 3+x^2+tan(pi(x)/2), 
0= 3+x^2+tan(pi(x)/2)
<span>(f^-1)'(a)
= 1/[f ' ( f^-1(a) )] (f^-1)'(3)
 = 1/[f ' ( f^-1(3) )] (f^-1)'(3)
 = 1/[f ' ( 0 )] (f^-1)'(3)
</span>=0+1/2pie(1)
=pi/2
hope it helps
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Answer:

Option A.

Step-by-step explanation:

The given question is incomplete. Here is the complete question.

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n             4             10            12

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When does the price of a pack increase faster ?

A. Between 4 and 10 bulbs

B. Between 10 and 12 bulbs

C. The price increases at the same rat over both the intervals.

To solve this question we will find the rate of increase in the prices per pack in the given intervals.

From n = 4 to n = 10

Rate of increase in price = \frac{25-12}{10-4}

                                         = \frac{13}{6}

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From n = 10 to n = 12

Rate of increase in price = \frac{28-25}{12-10}

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Therefore, price per pack increases faster between n = 4 and n = 10 as compared to n = 10 to n = 12.

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A furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week. Each chair produced requir
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The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

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Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:

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Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

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