170 Answered Questions for the topic Business Calculus

Business Calculus

04/10/22

Function Continuity

Given that f(x) = {2x+3 if x less than or equal to 1, 6x-1 if x is greater than 1, then f(2) =
Business Calculus

04/10/22

differential of a function

The differential of a function is the same as the:
Business Calculus

04/10/22

Differentiation - "First Principles"

Differentiate the function f(x) = 5x^2-4x+7 using first principle.
Business Calculus

04/10/22

Average Rate of Change

A theatre has determined that its profit function is given by P(x) = x^2+9x-11, where x is the admission ticket price, in dollars. What would be the average rate of change in profit if the ticket... more
Business Calculus

05/13/21

Find the consumer surplus when x=40

The demand function, in dollars per unit, for a commodity is given by D(x)=3000-0.6x^2 where x is the number of units demanded.
Business Calculus

05/13/21

find h'(3) when h(x)=f(x)/g(x)

suppose that f(x) and g(x) are differentiable functions such that f(3)=-2, f'(3)=6 , g(3)=9 and g'(3)=5.
Business Calculus

05/13/21

question in description

the marginal revenue for a product is given by r'(x)=-0.3x^2+50x+380 where x is the nuymber of units sold. find the demand function p(x)
Business Calculus

05/03/21

Find the present value of this investment if the prevailing interest rate is 6%/year compounded continuously. (Round your answer to the nearest whole number.)

Present Value of an Investment Suppose an investment is expected to generate income at the rate ofR(t) = 200,000dollars/year for the next 4 years.
Business Calculus

05/03/21

find the total accumulated value (in dollars) of this income stream at the end of 3 years. (Round your answer to the nearest dollar.)

Future Value of an Investment An investment is projected to generate a continuous revenue stream at the rate ofR(t) = 30,000e0.02tdollars/year for the next 3 years. If the income stream is invested... more
Business Calculus

05/03/21

If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. (Round your answers to the nearest dollar.)

Consumers' and Producers' Surplus The quantity demanded x (in units of a hundred) of the Mikado miniature cameras per week is related to the unit price p (in dollars) byp = −0.2x2 + 200and the... more
Business Calculus

05/03/21

Determine the consumers' surplus and the producers' surplus when the market unit price is set at the equilibrium price. (Round your answers to the nearest dollar.)

Consumers' and Producers' Surplus The management of the Titan Tire Company has determined that the quantity demanded x of their Super Titan tires/week is related to the unit price p by the... more
Business Calculus

05/03/21

Questions in description

a) Find the number of mattresses the manufacturer will make available in the market place if the unit price is set at $200/mattress. (Round your answer to the nearest integer.)b) Use the result of... more
Business Calculus

05/03/21

Determine the producers' surplus if the market price is set at $11/unit. (Round your answer to two decimal places.)

Producers' Surplus A supplier of portable hair dryers will make x hundred units of hair dryers available in the market when the unit price isp= square root of 100+1.4x
Business Calculus

05/03/21

Determine the consumers' surplus if the market price is set at $9/unit. (Round your answer to two decimal places.)

Consumers' Surplus  It is known that the quantity demanded of a certain make of portable hair dryer is x hundred units/week and the corresponding wholesale unit price is p=square root of 169-4x
Business Calculus

05/03/21

Determine the consumers' surplus (in dollars) if the market price is set at $9/disc. (Round your answer to two decimal places.)

Consumers' Surplus The demand function for a certain brand of CD is given byp = −0.01x2 − 0.3x + 13where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured... more
Business Calculus

05/03/21

Find the area of the region enclosed by these graphs and the vertical lines x = −2 and x = 0.

f(x)=x+3 g(x)=x^2-9
Business Calculus

04/30/21

The area of the region, expressed as a definite integral is?

Consider the region bounded by the graphs of f(x)=x^2-3 and g(x)=2x.
Business Calculus

04/29/21

Find the area of the indicated region Enclosed by y = x and y = x^4

Find the area of the indicated region Enclosed by y = x and y = x^4
Business Calculus

04/29/21

Find the area of the region enclosed by these graphs and the vertical lines x = −2 and x = 0.

f(x) = x + 3,    g(x) = x2 − 9
Business Calculus

04/29/21

Find the area of the region bounded below by the graph of f and above by the x-axis from x = 1 to x = 2.

f(x) = x2 − 4x + 3
Business Calculus

04/28/21

Question in description

Find the daily total revenue realized from the sale of 150 units of the toaster oven.Marginal Revenue The management of Ditton Industries has determined that the daily marginal revenue function... more
Business Calculus

04/27/21

If the trend continued, what was the Internet advertising revenue in 2012? (Enter your answer in billions of dollars. Round your answer to two decimal places.)

U.S. Internet advertising revenue grew at the rate ofR(t) = 0.82t + 1.14    (0 ≤ t ≤ 4)billion dollars/year between 2002 (t = 0) and 2006 (t = 4). The advertising revenue in 2002 was $5.9 billion

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