×
Get Full Access to Mathematics For The International Student: Mathematics Sl - 3 Edition - Chapter 16 - Problem 3
Get Full Access to Mathematics For The International Student: Mathematics Sl - 3 Edition - Chapter 16 - Problem 3

×

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

ISBN: 9781921972089 446

## Solution for problem 3 Chapter 16

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

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

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

4 5 1 292 Reviews
16
4
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).

Step-by-Step Solution:
Step 1 of 3

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

Step 2 of 3

Step 3 of 3

##### 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.

## Discover and learn what students are asking

Calculus: Early Transcendental Functions : Functions of Several Variables
?In Exercises 15 - 22, find all first partial derivatives. $$f(x, y)=\frac{x y}{x+y}$$

Chemistry: The Central Science : Molecular Geometry and Bonding Theories
?Give approximate values for the indicated bond angles in the following molecules:

#### Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

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