Find relative maxima and minima, Applied Statistics

Assignment Help:

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.


Related Discussions:- Find relative maxima and minima

Geometric mean, Geometric Mean The geometric mean   of numbers is defin...

Geometric Mean The geometric mean   of numbers is defined as the th root of the product of numbers .It is obtained by multiplying all the values of a variable and then extracti

Hortons initial infiltration capacity, (a) The Horton's initial infiltratio...

(a) The Horton's initial infiltration capacity for a catchment is 204 mm/h and the constant infiltration value at saturation is 60 mm/h. For a rainfall in excess of 204 mm/h mainta

Demand, A monopolist firm''s demand curve is given by P:100-2q. (a) Find it...

A monopolist firm''s demand curve is given by P:100-2q. (a) Find its marginal revenue function.

Correlation matrix table, A.    Do the correlation matrix table. B.    W...

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

Determine the matrix of the transformation, Consider the linear transformat...

Consider the linear transformation (a) Find the image of (3 , -2 , 2) under T. (b) Does the vector (5, 3) belong to the range of T? (c) Determine the matrix of the transf

QUARTILE DEVIATION, Examples of grouped, simple and frequency distribution ...

Examples of grouped, simple and frequency distribution data

Find the probability that a lift will weigh, Lifts usually have signs indic...

Lifts usually have signs indicating their maximum capacity. Consider a sign in a lift that reads "maximum capacity 1400kg or 20 persons". Suppose that the weights of lift-users are

Calculate the mean, Question: The weights of 60 children born to mother...

Question: The weights of 60 children born to mothers in a small rural hospital were recorded. 3.63 3.54 3.15 3.90 4.29 4.06 2.91 3.36 3.3

Data reduction, The PCA is amongst the oldest of the multivariate statistic...

The PCA is amongst the oldest of the multivariate statistical methods of data reduction. It is a technique for simplifying a dataset, by reducing multidimensional datasets to lower

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd