Log in
Mathematics
4
answers
0
watching
219
views
30 Dec 2017

6. Consider the polynomial p(x) = 25 + 2x + 6x3 + 12x2 – 272 - 54. One root of this polynomial is 3i. Express p(x) as a product of five linear polynomials in C[2]. [3 marks)

word_media_image1.png
Watch
4
answers
0
watching
219
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share
Already have an account? Log in
Share
Already have an account? Log in
Share
Verified Answer
Nestor Rutherford
Nestor RutherfordLv2
31 Dec 2017
Already have an account? Log in
29 Sep 2020

Answer verification

This is a step by step verification of the answer by our certified expert.
Subscribe to our livestream channel for more helpful videos.
Subscribe
Share

Related questions

3. A company manufactures two products (A and B) and the profit per unit sold is $3 and $5 respectively. Each product has to be assembled on a particular machine, with each unit of product A taking 12 minutes of assembly time and each unit of product B taking 25 minutes of assembly time. The company estimates that the machine used for assembly has an effective working week of only 30 hours (due to maintenance/breakdown). Technological constraints mean that for every five units of product A produced at least two units of product B must be produced. Which system of inequalities will describe the constraints in this problem, if x, is the number of units of product A produced, and x, is the number of units of product B produced in a week? 25x4 +12x, 51800 12x, +25x, S1800 12x, +25x, s1800 A) 5x, 22x B) 2x, 25x C) 5x + 2x XA20, X20 X20, X, 20 120, X20 25x, +12x, 51800 D) 2x 25x4 E) none of these XA20, X720

1. (45 marks) Short-Answer Questions. Put your answer in the box provided but show your work also. Each question is worth 3 marks, but not all questions are of equal difficulty. Full marks will be given for correct answers placed in the box, but at most 1 mark will be given for incorrect answer. Unless otherwise stated, it is not necessary to simplify your answers in this question. a) Find the equation of the tangent plane to the graph of the function z = f(x,y) = sell at (0,1). Answer b) Evaluate (T, 0) if f(x,y) = sin(ry). Answer c) Graph of a function z = f(x,y) is given by: Which of the following level curves correspondes to this function. Answer d) If f(x,y) = e(3x – 2y), find lim - Math)-f(x,y) e) Find % if f(x, y) = x2 - y3 and 2 = r sin(t), y = r cos(t). Answer f) Evaluate the directional derivative of f(x, y) = !at (1, -1) in the direction of u =(2, 1). Answer 8) Does Simono converge? h) Sketch the direction field of the differential equation = 1-2y. i) Consider the differential equation ay = 15 - 31, y(0) = 0, and use Euler's method with step size 0.1 to estimate y(0.1). Answer j) Knowing that (-3,-3) is a critical point of f(x,y) = 2:3 + y2 – 4.cy -3.0, use the second derivative test to find out whether it is a local minimum, local maximum, or a saddle point. Answer k) Solve the initial value problem, dy dt 642 2y + cos(u) y(1) = . Answer 1) Is ū=(2,2, -1) perpendicular to v = (5,-4, 2)? Answer m) Find the area between the graph of y = 1 + sin(x) and y=1-sin(x) from 0 to 7. Answer n) Determine the lentgh of the curve y = 8/2,0 SIS 3. Evaluate and simplify your answer. Answer o) Express the volume of the solid obtained by rotating the bounded region that lies between curves y = (x-2)2 and y=1,150 $4 about the vertical line 2 = 5. Do not evaluate this integral. Answer

75 9. A marketing researcher has determined that when a product sells at a dollars per unit, the number of units sold per week is given by the function q = - + 80(5m - 2) where m>O is the total manufacturing cost in dollars per unit and m < x < 5m. 2 m (a) Find the profit function P(x) (in dollars per week) and simplify it. (5 points) (b) Use calculus to find the selling price x that maximizes weekly profit. Sufficiently justify your solution. [6 points] (c) Use your answer to part (b) to determine the manufacturing cost m that yields a maxi- mum weekly profit of 3, 455 dollars. [4 points)

Related Documents

MATH135 Lecture Notes - Lecture 11: Rational Root Theorem, F.T.A., Division Algorithm
azurechimpanzee251
MATH135
Final Exam
Study Guide
MATH135 Study Guide - Final Guide: Coprime Integers, Mathematical Induction
turquoisegnu128
MATH135
Final Exam
Study Guide
MATH135 Study Guide - Midterm Guide: Coprime Integers, Mathematical Induction
turquoisegnu128

Weekly leaderboard

Home
Homework Help 3,900,000
Mathematics 240,000
Start filling in the gaps now
Log in