Question 1

Use integration to find the general solution to the differential equation  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use integration to find the general solution...

Question 2

Consider the following function:  . Of which of the following differential equations is this a solution? ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Consider the following function:  . Of...

Question 3

Find the particular solution. ​  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the particular solution. ​  ​
A)...

Question 4

If consumption is $5 billion when disposable income is 0, and if the marginal propensity to consume is 0.60, what is consumption when disposable income is 40 billion? If it's necessary, round your answer to one decimal place. ​
A) $200.6 billion
B) $485 billion
C) $29 billion
D) $17 billion
E) $4,000.6 billion

Accepted Answer

The answer of If consumption is $5 billion when disposable...

Question 5

If consumption is $2 billion when disposable income is 0, and if the marginal propensity to consume is  (in billions of dollars), find the national consumption function. If it's necessary, round your answer to two decimal places. ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of If consumption is $2 billion when disposable...

Question 6

If consumption is $2 billion when disposable income is 0, and if the marginal propensity to save is  (in billions of dollars), find the national consumption function. If it's necessary, round your calculations to two decimal places. ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of If consumption is $2 billion when disposable...

Question 7

The average cost of a product changes at the rate  and the average cost of 16 units is $22.00. Find the average cost function  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of The average cost of a product changes...

Question 8

Suppose that the marginal cost (in dollars) for a product is  and its fixed cost is $380.00. If the marginal revenue (in dollars) for the product is  , find the profit or loss from production and sale of 35 units. ​
A) $46,485 profit
B) $2,410 profit
C) $2,410 loss
D) $46,145 loss
E) $46,145 profit

Accepted Answer

The answer of Suppose that the marginal cost (in dollars)...

Question 9

Suppose that the marginal revenue for a certain product is given by  , where x is in thousand of units and revenue is in thousands of dollars. Find  . Round your calculations to two decimal places, if necessary. ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Suppose that the marginal revenue for a...

Question 10

The average cost of a product, in dollars, changes at the rate  and the average cost of 12 units is $25.00. Find the average cost of 24 units. Round your answer to the nearest cent. ​
A) $600.00
B) $25.50
C) $50.00
D) $30.60
E) $1.50

Accepted Answer

The answer of The average cost of a product, in...

Question 11

Suppose that the marginal cost for a certain product is given by  , where x is in thousand of units and cost is in thousands of dollars. Suppose further that fixed costs are $200,000. Find  . Round your answer to three decimal places, if necessary. ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Suppose that the marginal cost for a...

Question 12

Use integration to find the general solution to the differential equation  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use integration to find the general solution...

Question 13

Suppose that the marginal propensity to consume is  (in billions of dollars) and that consumption is $4.75 billion when disposable income is 0. Find the national consumption function C. If it's necessary, round your calculations to two decimal places.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The national consumption function C can be represented as C = a + bYd, where a is the autonomous consumption (consumption when Yd = 0), b is the marginal propensity to consume, and Yd is disposable income.

From the given information, a = 4.75 billion and b = 0.11 (11ea984b_b197_18a7_9029_2935e4d68400_TB4005_11 in decimal form)

Therefore, the national consumption function C can be written as:

C = 4.75 + 0.11Yd

Which simplifies to:

C = 11ea984b_b197_3fb9_9029_1fd244c8b8b2_TB4005_11

Therefore, the best choice is B, 11ea984b_b197_3fb9_9029_1fd244c8b8b2_TB4005_11.

Question 14

Use integration to find the general solution to the differential equation  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use integration to find the general solution...

Question 15

Suppose that the marginal propensity to consume is  (in billions of dollars), and that consumption is $5.33 billion when disposable income is 0. Find the national consumption function. If it's necessary, round your calculations to four decimal places. ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Suppose that the marginal propensity to consume...

Question 16

For which of the following differential equations is  a solution? ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of For which of the following differential equations...

Question 17

If consumption C is $1 billion when disposable income y is 0, and if the marginal propensity to consume is 0.60, find the national consumption function C as a function of y (in billions of dollars). Round your answer to two decimal places. ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of If consumption C is $1 billion when...

Question 18

Suppose that the marginal propensity to save is  (in billions of dollars) and that consumption is $9 billion when disposable income is 0. Find the national consumption function C. Round numbers in our answer to two decimal places when appropriate. If it's necessary, round your calculations to two decimal places. ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Suppose that the marginal propensity to save...

Question 19

If consumption is $6.3 billion when disposable income is 0, and if the marginal propensity to consume is  (in billions of dollars), find the national consumption function. If it's necessary, round your calculations to three decimal places. ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of If consumption is $6.3 billion when disposable...

Question 20

Suppose that the marginal propensity to save is  (in billions of dollars), and that consumption is $7.50 billion when disposable income is 0. Find the national consumption function. Round your answer to two decimal places. ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Suppose that the marginal propensity to save...

Quiz 12: Indefinite Integrals

Use integration to find the general solution to the differential equation .

Consider the following function: . Of which of the following differential equations is this a solution?

Find the particular solution.

If consumption is $5 billion when disposable income is 0, and if the marginal propensity to consume is 0.60, what is consumption when disposable income is 40 billion? If it's necessary, round your answer to one decimal place.

If consumption is $2 billion when disposable income is 0, and if the marginal propensity to consume is (in billions of dollars) , find the national consumption function. If it's necessary, round your answer to two decimal places.

If consumption is $2 billion when disposable income is 0, and if the marginal propensity to save is (in billions of dollars) , find the national consumption function. If it's necessary, round your calculations to two decimal places.

The average cost of a product changes at the rate and the average cost of 16 units is $22.00. Find the average cost function .

Suppose that the marginal cost (in dollars) for a product is and its fixed cost is $380.00. If the marginal revenue (in dollars) for the product is , find the profit or loss from production and sale of 35 units.

Suppose that the marginal revenue for a certain product is given by , where x is in thousand of units and revenue is in thousands of dollars. Find . Round your calculations to two decimal places, if necessary.

The average cost of a product, in dollars, changes at the rate and the average cost of 12 units is $25.00. Find the average cost of 24 units. Round your answer to the nearest cent.

Suppose that the marginal cost for a certain product is given by , where x is in thousand of units and cost is in thousands of dollars. Suppose further that fixed costs are $200,000. Find . Round your answer to three decimal places, if necessary.

Use integration to find the general solution to the differential equation .

Suppose that the marginal propensity to consume is (in billions of dollars) and that consumption is $4.75 billion when disposable income is 0. Find the national consumption function C. If it's necessary, round your calculations to two decimal places.

Use integration to find the general solution to the differential equation .

Suppose that the marginal propensity to consume is (in billions of dollars) , and that consumption is $5.33 billion when disposable income is 0. Find the national consumption function. If it's necessary, round your calculations to four decimal places.

For which of the following differential equations is a solution?

If consumption C is $1 billion when disposable income y is 0, and if the marginal propensity to consume is 0.60, find the national consumption function C as a function of y (in billions of dollars) . Round your answer to two decimal places.

If consumption is $6.3 billion when disposable income is 0, and if the marginal propensity to consume is (in billions of dollars) , find the national consumption function. If it's necessary, round your calculations to three decimal places.

Suppose that the marginal propensity to save is (in billions of dollars) , and that consumption is $7.50 billion when disposable income is 0. Find the national consumption function. Round your answer to two decimal places.

Quiz 12: Indefinite Integrals

Use integration to find the general solution to the differential equation . ​

Consider the following function: . Of which of the following differential equations is this a solution? ​

Find the particular solution. ​ ​

If consumption is $5 billion when disposable income is 0, and if the marginal propensity to consume is 0.60, what is consumption when disposable income is 40 billion? If it's necessary, round your answer to one decimal place. ​

If consumption is $2 billion when disposable income is 0, and if the marginal propensity to consume is (in billions of dollars) , find the national consumption function. If it's necessary, round your answer to two decimal places. ​

If consumption is $2 billion when disposable income is 0, and if the marginal propensity to save is (in billions of dollars) , find the national consumption function. If it's necessary, round your calculations to two decimal places. ​

The average cost of a product changes at the rate and the average cost of 16 units is $22.00. Find the average cost function . ​

Suppose that the marginal cost (in dollars) for a product is and its fixed cost is $380.00. If the marginal revenue (in dollars) for the product is , find the profit or loss from production and sale of 35 units. ​

Suppose that the marginal revenue for a certain product is given by , where x is in thousand of units and revenue is in thousands of dollars. Find . Round your calculations to two decimal places, if necessary. ​

The average cost of a product, in dollars, changes at the rate and the average cost of 12 units is $25.00. Find the average cost of 24 units. Round your answer to the nearest cent. ​

Suppose that the marginal cost for a certain product is given by , where x is in thousand of units and cost is in thousands of dollars. Suppose further that fixed costs are $200,000. Find . Round your answer to three decimal places, if necessary. ​

Use integration to find the general solution to the differential equation . ​

Suppose that the marginal propensity to consume is (in billions of dollars) and that consumption is $4.75 billion when disposable income is 0. Find the national consumption function C. If it's necessary, round your calculations to two decimal places.

Use integration to find the general solution to the differential equation . ​

Suppose that the marginal propensity to consume is (in billions of dollars) , and that consumption is $5.33 billion when disposable income is 0. Find the national consumption function. If it's necessary, round your calculations to four decimal places. ​

For which of the following differential equations is a solution? ​

If consumption C is $1 billion when disposable income y is 0, and if the marginal propensity to consume is 0.60, find the national consumption function C as a function of y (in billions of dollars) . Round your answer to two decimal places. ​

If consumption is $6.3 billion when disposable income is 0, and if the marginal propensity to consume is (in billions of dollars) , find the national consumption function. If it's necessary, round your calculations to three decimal places. ​

Suppose that the marginal propensity to save is (in billions of dollars) , and that consumption is $7.50 billion when disposable income is 0. Find the national consumption function. Round your answer to two decimal places. ​

Use integration to find the general solution to the differential equation .

Consider the following function: . Of which of the following differential equations is this a solution?

Find the particular solution.

If consumption is $5 billion when disposable income is 0, and if the marginal propensity to consume is 0.60, what is consumption when disposable income is 40 billion? If it's necessary, round your answer to one decimal place.

If consumption is $2 billion when disposable income is 0, and if the marginal propensity to consume is (in billions of dollars) , find the national consumption function. If it's necessary, round your answer to two decimal places.

If consumption is $2 billion when disposable income is 0, and if the marginal propensity to save is (in billions of dollars) , find the national consumption function. If it's necessary, round your calculations to two decimal places.

The average cost of a product changes at the rate and the average cost of 16 units is $22.00. Find the average cost function .

Suppose that the marginal cost (in dollars) for a product is and its fixed cost is $380.00. If the marginal revenue (in dollars) for the product is , find the profit or loss from production and sale of 35 units.

Suppose that the marginal revenue for a certain product is given by , where x is in thousand of units and revenue is in thousands of dollars. Find . Round your calculations to two decimal places, if necessary.

The average cost of a product, in dollars, changes at the rate and the average cost of 12 units is $25.00. Find the average cost of 24 units. Round your answer to the nearest cent.

Suppose that the marginal cost for a certain product is given by , where x is in thousand of units and cost is in thousands of dollars. Suppose further that fixed costs are $200,000. Find . Round your answer to three decimal places, if necessary.

Use integration to find the general solution to the differential equation .

Use integration to find the general solution to the differential equation .

Suppose that the marginal propensity to consume is (in billions of dollars) , and that consumption is $5.33 billion when disposable income is 0. Find the national consumption function. If it's necessary, round your calculations to four decimal places.

For which of the following differential equations is a solution?

If consumption C is $1 billion when disposable income y is 0, and if the marginal propensity to consume is 0.60, find the national consumption function C as a function of y (in billions of dollars) . Round your answer to two decimal places.

If consumption is $6.3 billion when disposable income is 0, and if the marginal propensity to consume is (in billions of dollars) , find the national consumption function. If it's necessary, round your calculations to three decimal places.

Suppose that the marginal propensity to save is (in billions of dollars) , and that consumption is $7.50 billion when disposable income is 0. Find the national consumption function. Round your answer to two decimal places.