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2 years ago

Determine whether the statement is true or false. if f is continuous on [a, b], then d dx b f(x) dx a = f(x).

Business

1 answer:

uysha [10]2 years ago

8 0

The correct answer is option (b) False.

Differentiation:

Differentiation is a technique for determining a function's derivative. Differentiation is a mathematical procedure for determining the instantaneous rate of change of a function depending on one of its variables.

Explanation:

Given:

A statement is given "If f is continuous on

[a,b], then ddx(∫baf(x)dx)=f(x)".

The objective of the question is to determine whether the statement is true or false and why.

It is known that the value of a definite integral of a function is always a constant. So, ∫baf(x)dx

is a constant.

It is also known that the derivative of a constant is always equal to 1. Therefore, the correct equation is ddx(∫baf(x)dx)=1.

Thus, the given statement is false.

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Answer: A. 2.05 B. 5.10 C. 0

Explanation: Payback period can be defined as the period under which the profits or savings in an investment can recover the initial outlay invested in that investment. In simple words we can say that it is the time required by an investment to pay for itself.

Pay back period is computed as follows :-

$=\:payback\:period=\frac{\:Initial\:cash\:outlay}{cash\:inflows}$

therefore,

A. $=\:payback\:period=\frac{1450}{705}$ =2.05years

B. $=\:payback\:period=\frac{3600}{705}$ =5.10years

C. $=\:payback\:period=\frac{5800}{705}$ =0

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4 years ago

Recently, the spot market price of U.S. hot rolled steel plummeted to $400 per ton. Just one year ago, this same ton of steel co

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Answer:

The computation of given question is shown below:-

Explanation:

One year ago

Quantity supplied = 600 + 4P

Quantity demanded = 9,000 - 8P

600 + 4P = 9000 - 8P

Price one year ago = $700

Quantity one year ago = 3,400

Current market:-

Quantity supplied = 4200 + 4P

Quantity demanded = 9,000 - 8P

4,200 + 4P = 9,000 - 8P

Price for current market = $400

Quantity for current market = 5,800

C(Q) = 1,200 + 15Q2

A representative firm in a competitive market would produce steel where MC = P

MC = dC ÷ dQ = 30Q

The raw steel does a representative firm produce when the market price is $700

30Q = 700

Q = 23.33

The raw steel does a representative firm produce when the market price is $400

30Q = 400

Q = 13.33

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4 years ago

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five tre

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Westland College uses a 10% discount rate and the total cost approach to capital budgeting analysis. Both alternatives are expec

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Answer: hello your question is incomplete attached below is the complete question

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3 years ago

The basic logic behind the Rational Rule for Sellers is that a company owner should increase output as long as the extra output

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According to the logic behind the Rational Rule for Sellers, a company owner should increase output when the extra output D. adds more to revenue than it adds to costs.

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