Purchase Solution

Calculus Maxima, Minima and Saddle Points

Not what you're looking for?

Ask Custom Question

Show all work
1. Determine the exact value for each of the following limits:
a.
b.

2. Determine derivatives (with respect to x) for the following:
a.
b.
c.
d. Determine for
e. Determine the partial derivative with respect to x for

3. Integrate the following:
a.
b.
c.

4. For the function :
a. Determine the average rate of change from to
b. Determine the instantaneous rate of change at .
5. Determine the equation of the tangent line at for .

6. For , use calculus to determine the location of:
a. Any maximum or minimum points (tell which are max and which are min)

b. Any inflection points

7. A store owner currently sells an item for $50 and can sell 100 items per week on average. However, market research says that for each $3 decrease in price, the owner will be able to sell 25 more items per week. What price should the owner set so that the weekly maximum revenue is realized?

8. Let be a function which describes the relationship between the interest rate r for a bank account, and the amount A in the account after 2 years.
a. Explain the meaning of the equation as it applies to the description above.
b. Explain the meaning of the equation as it applies to the description above.

9. Under certain conditions, the number of cancer cells at time t increases at a rate of . Suppose that at 5 days, the number of cells is growing at a rate of 150 cells per day. Determine a number of cells after 12 days if there were 100 cells initially.

10. The wind chill is given by , where T is the temperature in Fahrenheit and w is the wind speed in miles per hour.
a. Calculate and explain it's meaning in the context of this problem.
b. Calculate and explain it's meaning in the context of this problem.

11. Determine the location of any maxima, minima, or saddle points for (tell what each one is)

12. Determine the area enclosed by the curves and

Attachments
Purchase this Solution

Solution Summary

The solutions are provided in .jpg files.

Solution provided by:
Education
  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
Recent Feedback
  • "Excellent work. Well explained."
  • "Can you kindly take a look at 647530 and 647531. Thanks"
  • "Thank you so very much. This is very well done and presented. I certainly appreciate your hard work. I am a novice at statistics and it is nice to know there are those out there who really do understand. Thanks again for an excellent posting. SPJ"
  • "GREAT JOB!!!"
  • "Hello, thank you for your answer for my probability question. However, I think you interpreted the second and third question differently than was meant, as the assumption still stands that a person still independently ranks the n options first. The probability I am after is the probability that this independently determined ranking then is equal to one of the p fixed rankings. Similarly for the third question, where the x people choose their ranking independently, and then I want the probability that for x people this is equal to one particular ranking. I was wondering if you could help me with this. "
Purchase this Solution


Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.