Answer number 14 and 15 only. CABANALAN CITYACULATE CONCFind the maximum and the minimum points of each function on the given interval.13. f(x)= 4x-3x2-6x +1 on [-1,2]14. f(x) = x3 -x² – 18x +5 on [-3, 2]%3D%3DINIMACULATEPATRIAECCLESIACABABonus Problem:15. Find the slope of the tangent line to the ellipse 4x+3y- 16 at the point (-1,2).

We will solve the problem using derivatives.

Answered: Answer number 14 and 15

Math

Calculus

Answer number 14 and 15

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...

See similar textbooks

Similar questions

A company determines that its weekly profit from manufacturing and selling x units of a certain item is given by Px=-x3+3x2+2880x-500. Use a graphing utility to find the weekly production rate that will maximize the profit.
The graph of f(x)=3(x2)26 is a parabola that opens_____, with its vertex at (____, ___) and f(2) = _______is the (minimum/maximum) _______ value of f.
The International Silver Strings Submarine Band holds a bake sale each year to fund their trip to the National Sasquatch Convention. It has been determined that the cost in dollars of baking x cookies is C(x)=0.4x+18C(x)=0.4x+18 and that the demand function for their cookies is p(x)=23−0.02x.p(x)=23-0.02x. How many cookies should they bake in order to maximize their profit?
Q1: Graph region of feasible solution and solved by cover point method.Minimize Z=20x1 + 8x2 subject tox1 + x2 >= 202x1 - x2 <= 48x1 <= 20x1 + x2<= 30x1 , x2 >= 0 Q2: Find derivate of the following functionsi. ? ? =???/??2 ii. ? ? = (?3 − ?? )(?5 + ??2) Q3; Find second order partial derivates of the following functioni. ? (?, ?) = ???3?2ii. ? (?, ?) = ??2
Suppose we are able to model the total utility function for the consumption of two goods, good x and good z. The utility function is structured as U(x, z) = 3x2 + z2 - 2xz. The consumer is faced with the prices of goods x and z. The price for each unit of good x and z is $1 each. The consumer has an income $1 (in thousands). How many units of each good should the consumer consume so as to maximize his/her utility?
The profit function for an operation is given byP(x, y) = 2200 + 24x − x^2 + 80y − y^2where x is the cost of a unit of labor and y the cost of one item. Find the maximum amount of profit that can be generated from this operation. It is necessryto do a prospective analysis of the profitability of this operation. Determine theapproximate increase or decrease in profit if the units of labor increases from 12to 13 while the price of an item remains the same at 40. Also, what if the laborremains steady at 12 but the price increase from 40 to 41?
What is the x component of the minimum point of the function? 2/3 -2/3 1/6 -4/3 -1/3
13. Find the minimum and maximum value of the function on the giveninterval.y = 2x 2 + 4x + 5 [-2, 2]
Ol’-Time Quilts receives an order for a patchwork quilt made from square patches of three types: solid green, solid blue, and floral. The quilt is to be 8 squares, and there must be 15 times as many solid squares as floral squares. If Ol’-Time charges $3 per solid square, $5 per floral square, and if the customer wishes to spend exactly $300, how many of each type of square may be used in the quilt? Give a general solution stating any limitation on the parameter. Then provide two specific solutions and compare. Is one of those two solutions preferable over the other? If so, why might be the case? If not, why are the two specific solution equally preferable?