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docker41 [41]
3 years ago
10

Which is equivalent to the complex number i^32?

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer:

where i^2 = -1 (minus one)

So, i^2 = -1

i^4 = (i^2)^2 = (-1)^2 = -1 X-1 = 1

like ;

i^32 = (i^2)^16 = (-1)^16 =  -1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X

     = 1

Step-by-step explanation:

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The demand equation for a manufacturer's product is:
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From the given price function, we have;

(a) \frac{dp}{dq}  =  - 13

(b) The point elasticity of demand is 0.0256<u>;</u><u> </u><u>i</u><u>nelastic demand</u>

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<h3>How can the elasticity of demand be found?</h3>

a. The given function is presented as follows;

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Differentiating the above function with a graphing calculator and setting q = 150 gives;

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b. The point elasticity of demand is given by the formula;

e \:  = \frac{dq}{dp}  \times  \frac{p}{q}

When q = 150, we have;

P = 50

Which gives;

e \:  =  \frac{1}{13} \times  \frac{50}{150}  = 0.0256

The point elasticity of demand, <em>E </em>= <u>0.0256</u>

  • The <u>demand is inelastic</u> (less than 1) when the quantity demanded is 150 units

c. If the quantity demanded decreases from 150 to 140 units, we have;

0.0256 \:  =  \frac{1}{13} \times  \frac{p}{140}  =

Which gives;

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d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;

  • The manufacturer should<u> increase the price</u>, <em>p </em>to increase the revenue, <em>R</em>.

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Learn more about elasticity of demand here;

brainly.com/question/19141990

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Answer:

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