Find relative maxima and minima, Applied Statistics

Q. Find relative maxima and minima?

When finding relative maxima and minima in the Chapters absolute extrema problem, don't forget to use the first or second derivative test to show that the critical value is a relative maxima or minima. Also, when sketching a graph use EXCEL or graph paper with the scale of the axes labeled. Any other sketch will be marked incorrect.

1. For a certain SUV, M(x) = -.015x2 + 1.31x - 7.3, 30 ≤ x ≤ 60, represents the mpg obtained at a speed of x mph. Find the absolute maximum and minimum mpg and the speeds at which they occur. Graph M(X).

2. Differentiate the following implicitly (A) 2xy2 - 4xy = x3    (B) x2y2 - 3xy = x  C)  x3 + y3 = 3   (D) sqrt(x)+sqrt(y)=2 (sqrt = square root)   E) xy  + y2 = x

3. The cost and revenue functions for children's watches are given by C(q) = 250 + 3q + .01q2 and  R(q) = 5q + .02q2 where q  is monthly production. If production is increasing at a rate of 200 watches per month, when production is 3000 units, find the rate of increase in profits.

4. A 26 foot ladder is placed against a wall. If the top of the ladder is sliding down the wall at 2 feet per second, at what rate is the bottom of the ladder moving away from the wall when the bottom of the ladder is 10 feet away from the wall?

5. A farmer wants to construct a rectangular pen next to a barn 60 feet long, using all of the barn as part of one side of the pen. Find the dimensions of the pen with the largest area that the farmer can build if (A) 160 feet of fencing material is available; (B) 250 feet of fencing material is available.

Posted Date: 8/12/2013 6:38:28 AM | Location : United States







Related Discussions:- Find relative maxima and minima, Assignment Help, Ask Question on Find relative maxima and minima, Get Answer, Expert's Help, Find relative maxima and minima Discussions

Write discussion on Find relative maxima and minima
Your posts are moderated
Related Questions
You will recall the function pnorm() from lectures. Using this, or otherwise, Dteremine the probability of a standard Gaussian random variable exceeding 1.3.  Using table(), or

Two individuals, player 1 and player 2, are  competing in an auction to obtain a valuable object. Each player bids in a sealed envelope, without knowing the bid of the other player

In the context of multivariate data analysis, one might be faced with a large number of v&iables that are correlated with each other, eventually acting as proxy of each other. This

We want to investigate the income data.  In the Excel file Midterm  Data.xls there is a tab labeled "Income Data 2006".  The data in the tab is the income reported by 400 people in

A.    Do the correlation matrix table. B.    Which variable (s) has the largest correlation coeffieient which is not a perfect correlation? C.    Which variable (s) has the s

The box plot displays the diversity of data for the age; the data ranges from 19 being the minimum value and 60 being the maximum value. The box plot is positively skewed at 0.57 a

Estimate a linear probability model: Consider the multiple regression model: y = β 0 +β 1 x 1 +.....+β k x k +u Suppose that assumptions MLR.1-MLR4 hold, but not assump

Lorenz Curve   It is a graphic method of measuring dispersion. This curve was devised by Dr. Max o Lorenz a famous statistician.  He used this technique for wealth it i

Find unlabeled data set test.txt and initial centroids data set centroids.txt in the archive, both files have the following format: [attribute1_value attribute2_value ...

Advantages of Sampling Why should we settle on a sample instead of studying the entire population?  Sampling has the following advantages over a census (study of the entire pop