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a Find the equations of the horizontal tangents to y = 2x3 + 3x2 12x + 1. b Find the

Mathematics for the International Student: Mathematics SL | 3rd Edition | ISBN: 9781921972089 | Authors: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa ISBN: 9781921972089 446

Solution for problem 3 Chapter 16

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Mathematics for the International Student: Mathematics SL | 3rd Edition | ISBN: 9781921972089 | Authors: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Problem 3

a Find the equations of the horizontal tangents to y = 2x3 + 3x2 12x + 1. b Find the points of contact where horizontal tangents meet the curve y = 2px + 1 px . c Find k if the tangent to y = 2x3 + kx2 3 at the point where x = 2 has gradient 4. d Find the equation of the other tangent to y = 1 3x + 12x2 8x3 which is parallel to the tangent at (1, 2).

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Richard Vollberg Computer Science Notes Week 1 *All formulas must start with an equal sign 1. Basic Formulas + (Addition), - (Subtraction), / (Division), * (Multiplication), ^ (Exponent/Power) Basic Functions: 1. Sum Function =Sum(FirstCell:LastCell) -The cells in the parentheses is called the range of cells ex. =Sum(A1:A5), A1=1, A2=2, A3=3, A4=4, A5=5 Answer: 15 *Excel will automatically know the appropriate answer if the formula is correctly written 2. Average Function =Average(FirstCell#:LastCell#) 3. Max & Minimum Function =Max(FirstCell#:LastCell#) =Min(FirstCell#:LastCell#) 4. Count Functions =Count(FirstCell#:LastCell#) =CountA(FirstCell#:LastCell#) *Count function is for numeric data and CountA function is for non-numeric Numeric Data- data you do arithmetic on Non-Numeric Data- data you do not do arithmetic on CPU- central processing unit "Brain of Computer" 2. CPU Does 4 Funtions: 1. arithmetic (+,-,*,/,^) (1st computer only add and subtract) 2. Comparative Logic (can only determine if something is True or False) ex: 5<6 True, 6<6 False ex: CAT

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Chapter 16, Problem 3 is Solved
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Textbook: Mathematics for the International Student: Mathematics SL
Edition: 3
Author: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa
ISBN: 9781921972089

The full step-by-step solution to problem: 3 from chapter: 16 was answered by , our top Math solution expert on 03/15/18, 06:04PM. Since the solution to 3 from 16 chapter was answered, more than 269 students have viewed the full step-by-step answer. Mathematics for the International Student: Mathematics SL was written by and is associated to the ISBN: 9781921972089. This full solution covers the following key subjects: . This expansive textbook survival guide covers 25 chapters, and 453 solutions. This textbook survival guide was created for the textbook: Mathematics for the International Student: Mathematics SL, edition: 3. The answer to “a Find the equations of the horizontal tangents to y = 2x3 + 3x2 12x + 1. b Find the points of contact where horizontal tangents meet the curve y = 2px + 1 px . c Find k if the tangent to y = 2x3 + kx2 3 at the point where x = 2 has gradient 4. d Find the equation of the other tangent to y = 1 3x + 12x2 8x3 which is parallel to the tangent at (1, 2).” is broken down into a number of easy to follow steps, and 84 words.

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a Find the equations of the horizontal tangents to y = 2x3 + 3x2 12x + 1. b Find the