Question

1. ∫ 0 1 ​ (x 5 +e x )dx=?\int_{0}^{1} (x^5+e^x)dx

2. MC = 169-2Q+0.6Q^2   

Calculate the extra cost in increasing production from 5 to 10 units. Round your answer to 2 decimal places.

3. Let K(t) denote the amount of capital accumulated at time t as a result of a investment flow

I(t)=K'(t)=9000t^{\frac{1}{4}}.

Suppose the initial capital K(0)=0 .

Calculate the number of years required before the capital stock exceeds 100 000. Round your answer to 2 decimal places.

4. Find the consumer’s surplus at Q = 5 for the demand function
P=33-6Q .

Round your answer to 2 decimal places.

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