1. Given the demand function D(p)=100−3p^2,

Find the

Don't use plagiarized sources. Get Your Custom Essay on

MATT

Just from $13/Page

ity of Demand at a price of $4

At this price, we would say the demand is:

- Inelastic
- Unitary

Elastic

Based on this, to increase revenue we should:

- Raise Prices
- Keep Prices Unchanged
- Lower Prices

2. Given that f'(x)=−5(x−5)(x+4),

The graph of f(x)f(x) at x=3 is Select an answer increasing concave up increasing concave down decreasing concave up decreasing concave down

3. Find ∫4e^xdx

+ C

4. Find ∫(7x^6+6x^7)dx

+ C

5. Find ∫(7/x^4+4x+5)dx

+ C

6. The traffic flow rate (cars per hour) across an intersection is r(t)=200+600t−90t^2, where t is in hours, and t=0 is 6am. How many cars pass through the intersection between 6 am and 10 am?

cars

7. A company’s marginal cost function is 5/√x where x is the number of units.

Find the total cost of the first 81 units (of increasing production from x=0 to x=81)

Total cost: $

8. Evaluate the integral

∫x^3(x^4−3)^48dx

by making the substitution u=x^4−3.

+ C

NOTE: Your answer should be in terms of x and not u.

9. Evaluate the indefinite integral.

∫x^3(8+x^4)^1/2dx

+ C

10. A cell culture contains 2 thousand cells, and is growing at a rate of r(t)=10e^0.23t thousand cells per hour.

Find the total cell count after 4 hours. Give your answer accurate to at least 2 decimal places.

_thousand cells .

11. ∫4xe^6xdx = + C

12. Find ∫6x/7x+5dx

+ C

13. Sketch the region enclosed by y=4x and y=5x^2. Find the area of the region.

14. Determine the volume of the solid generated by rotating function f(x)=(36−x^2)^1/2 about the x-axis on [4,6].

Volume =

15. Suppose you deposit $1000 at 4% interest compounded continuously. Find the average value of your account during the first 2 years.

$

16. Given: (x is number of items)

Demand function: d(x)=3362√x

Supply function: s(x)=2√x

Find the equilibrium quantity: items

Find the consumers surplus at the equilibrium quantity: $

17. Given: (x is number of items)

Demand function: d(x)=3072/√x

Supply function: s(x)=3√x

Find the equilibrium quantity: items

Find the producer surplus at the equilibrium quantity: $

18. Find the accumulated present value of an investment over a 9 year period if there is a continuous money flow of $9,000 per year and the interest rate is 1% compounded continuously.

$

19. A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the first model made, and let y represent the number (in millions) of the second model made.

The company’s revenue can be modeled by the equation

R(x,y)=110x+170y−4x^2−2y^2−xy

Find the marginal revenue equations

Rx(x,y) =

Ry(x,y) =

We can achieve maximum revenue when both partial derivatives are equal to zero. Set Rx=0and Ry=0 and solve as a system of equations to the find the production levels that will maximize revenue.

Revenue will be maximized when:

x =

y =

20. An open-top rectangular box is being constructed to hold a volume of 200 in^3. The base of the box is made from a material costing 5 cents/in^2. The front of the box must be decorated, and will cost 11 cents/in^2. The remainder of the sides will cost 2 cents/in^2.

Find the dimensions that will minimize the cost of constructing this box.

Front width: in.

Depth: in.

Height: in.

The price is based on these factors:

Academic level

Number of pages

Urgency

Basic features

- Free title page and bibliography
- Unlimited revisions
- Plagiarism-free guarantee
- Money-back guarantee
- 24/7 support

On-demand options

- Writer’s samples
- Part-by-part delivery
- Overnight delivery
- Copies of used sources
- Expert Proofreading

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read moreOur specialists are always online to help you! We are available 24/7 via live chat, WhatsApp, and phone to answer questions, correct mistakes, or just address your academic fears.

See our T&Cs