Precalculus (6th Edition)
6th Edition
ISBN: 9780134494890
Author: Blitzer
Publisher: PEARSON
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Textbook Question
Chapter 11.4, Problem 1PE
In Exercises 1-14,
Find the slope of the tangent line to the graph of f at the given point.
Find the slope-intercept equation of the tangent line to the graph of f at the given point.
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Don't do 14. Please solve 19
Please solve 14 and 15
1. Consider the following system of equations:
x13x2 + 4x3 - 5x4 = 7
-2x13x2 + x3 - 6x4 = 7
x16x213x3 - 21x4 = 28
a) Solve the system. Write your solution in parametric and vector form.
b) What is a geometric description of the solution.
7
c) Is v =
7 in the span of the set S=
[28.
1
HE
3
-5
3
·6
? If it is, write v
6
as a linear combination of the vectors in S. Justify.
d) How many solutions are there to the associated homogeneous system for
the system above? Justify.
e) Let A be the coefficient matrix from the system above. Find the set of all
solutions to Ax = 0.
f) Is there a solution to Ax=b for all b in R³? Justify.
Chapter 11 Solutions
Precalculus (6th Edition)
Ch. 11.1 -
Check Point 1 Find: .
Ch. 11.1 - Prob. 2CPCh. 11.1 - Prob. 3CPCh. 11.1 - Prob. 4CPCh. 11.1 - Prob. 5CPCh. 11.1 - Prob. 1CVCCh. 11.1 - Prob. 2CVCCh. 11.1 - Prob. 3CVCCh. 11.1 - Fill in each blank so that the resulting statement...Ch. 11.1 - Fill in each blank so that the resulting statement...
Ch. 11.1 - Fill in each blank so that the resulting statement...Ch. 11.1 - Prob. 7CVCCh. 11.1 - In Exercises 1-4, use each table to find the...Ch. 11.1 - Prob. 2PECh. 11.1 - Prob. 3PECh. 11.1 - Prob. 4PECh. 11.1 - Prob. 5PECh. 11.1 - Prob. 6PECh. 11.1 - Prob. 7PECh. 11.1 - Prob. 8PECh. 11.1 - Prob. 9PECh. 11.1 - In Exercises 5-18, construct a table to find the...Ch. 11.1 - Prob. 11PECh. 11.1 - Prob. 12PECh. 11.1 - Prob. 13PECh. 11.1 - In Exercises 5-18, construct a table to find the...Ch. 11.1 - In Exercises 5-18, construct a table to find the...Ch. 11.1 - Prob. 16PECh. 11.1 - In Exercises 5-18, construct a table to find the...Ch. 11.1 - Prob. 18PECh. 11.1 - Prob. 19PECh. 11.1 - Prob. 20PECh. 11.1 - Prob. 21PECh. 11.1 - Prob. 22PECh. 11.1 - In Exercises 23-26, use the graph and the viewing...Ch. 11.1 - Prob. 24PECh. 11.1 - Prob. 25PECh. 11.1 - Prob. 26PECh. 11.1 - Prob. 27PECh. 11.1 - Prob. 28PECh. 11.1 - In Exercises 27-32, the graph of a function is...Ch. 11.1 - In Exercises 27-32, the graph of a function is...Ch. 11.1 - In Exercises 27-32, the graph of a function is...Ch. 11.1 - In Exercises 27-32, the graph of a function is...Ch. 11.1 - Prob. 33PECh. 11.1 - In Exercises 33-54, graph each function. Then use...Ch. 11.1 - Prob. 35PECh. 11.1 - Prob. 36PECh. 11.1 - Prob. 37PECh. 11.1 - Prob. 38PECh. 11.1 - Prob. 39PECh. 11.1 - Prob. 40PECh. 11.1 - Prob. 41PECh. 11.1 - Prob. 42PECh. 11.1 - In Exercises 33-54, graph each function. Then ues...Ch. 11.1 - Prob. 44PECh. 11.1 - Prob. 45PECh. 11.1 - Prob. 46PECh. 11.1 - Prob. 47PECh. 11.1 - Prob. 48PECh. 11.1 - In Exercises 33-54, graph each function. Then ues...Ch. 11.1 - Prob. 50PECh. 11.1 - Prob. 51PECh. 11.1 - Prob. 52PECh. 11.1 - Prob. 53PECh. 11.1 - Prob. 54PECh. 11.1 - Prob. 55PECh. 11.1 - Prob. 56PECh. 11.1 - Prob. 57PECh. 11.1 - Prob. 58PECh. 11.1 - Prob. 59PECh. 11.1 - In Exercises 59-66, use the graph of to graph...Ch. 11.1 - Prob. 61PECh. 11.1 - Prob. 62PECh. 11.1 - Prob. 63PECh. 11.1 - Prob. 64PECh. 11.1 - Prob. 65PECh. 11.1 - Prob. 66PECh. 11.1 - Prob. 67PECh. 11.1 - Prob. 68PECh. 11.1 - Prob. 69PECh. 11.1 - Prob. 70PECh. 11.1 - Prob. 71PECh. 11.1 - Prob. 72PECh. 11.1 - Prob. 73PECh. 11.1 - Prob. 74PECh. 11.1 - Prob. 75PECh. 11.1 - Prob. 76PECh. 11.1 - Prob. 77PECh. 11.1 - Prob. 78PECh. 11.1 - Prob. 79PECh. 11.1 - Prob. 80PECh. 11.1 - Prob. 81PECh. 11.1 - Prob. 82PECh. 11.1 - Prob. 83PECh. 11.1 - Use the ZOOM IN feature of your graphing utility...Ch. 11.1 - Prob. 85PECh. 11.1 - Prob. 86PECh. 11.1 - Prob. 87PECh. 11.1 - In Exercises 85-88, estimate limxaf(x),by using...Ch. 11.1 - Prob. 89PECh. 11.1 - Prob. 90PECh. 11.1 - Make Sense? In Exercises 89-92, determine whether...Ch. 11.1 - Prob. 92PECh. 11.1 - Prob. 93PECh. 11.1 - Prob. 94PECh. 11.1 - Prob. 95PECh. 11.1 - Prob. 96PECh. 11.1 - Prob. 97PECh. 11.1 - Prob. 98PECh. 11.1 - Prob. 99PECh. 11.1 - Prob. 100PECh. 11.1 - Prob. 101PECh. 11.1 - Prob. 102PECh. 11.2 - Check Point 1 Find the following limits:
...Ch. 11.2 - Check Point 2 Find the following limits: limx19x...Ch. 11.2 - Check Point 3 Find: .
Ch. 11.2 - Check Point 4 Find: limx14(19x).Ch. 11.2 - Check Point 5 Find: limx7(10x).Ch. 11.2 - Check Point 6 Find the following limits:...Ch. 11.2 - Check Point 7 Find: limx2(7x3).Ch. 11.2 - Prob. 8CPCh. 11.2 - Prob. 9CPCh. 11.2 - Prob. 10CPCh. 11.2 - Check Point 11 Find: limx2x24x+13x5.Ch. 11.2 - Prob. 12CPCh. 11.2 - Prob. 13CPCh. 11.2 - Prob. 14CPCh. 11.2 - Fill in each blank so that the resulting statement...Ch. 11.2 - Fill in each blank so that the resulting statement...Ch. 11.2 - Prob. 3CVCCh. 11.2 - Prob. 4CVCCh. 11.2 - Prob. 5CVCCh. 11.2 - Prob. 6CVCCh. 11.2 - Prob. 7CVCCh. 11.2 - Prob. 8CVCCh. 11.2 - Prob. 9CVCCh. 11.2 - Prob. 10CVCCh. 11.2 - Prob. 11CVCCh. 11.2 - Prob. 12CVCCh. 11.2 - Prob. 1PECh. 11.2 - Prob. 2PECh. 11.2 - Prob. 3PECh. 11.2 - Prob. 4PECh. 11.2 - Prob. 5PECh. 11.2 - Prob. 6PECh. 11.2 - Prob. 7PECh. 11.2 - Prob. 8PECh. 11.2 - Prob. 9PECh. 11.2 - Prob. 10PECh. 11.2 - Prob. 11PECh. 11.2 - Prob. 12PECh. 11.2 - Prob. 13PECh. 11.2 - Prob. 14PECh. 11.2 - Prob. 15PECh. 11.2 - Prob. 16PECh. 11.2 - Prob. 17PECh. 11.2 - Prob. 18PECh. 11.2 - Prob. 19PECh. 11.2 - Prob. 20PECh. 11.2 - Prob. 21PECh. 11.2 - Prob. 22PECh. 11.2 - Prob. 23PECh. 11.2 - Prob. 24PECh. 11.2 - Prob. 25PECh. 11.2 - Prob. 26PECh. 11.2 - Prob. 27PECh. 11.2 - Prob. 28PECh. 11.2 - Prob. 29PECh. 11.2 - Prob. 30PECh. 11.2 - Prob. 31PECh. 11.2 - Prob. 32PECh. 11.2 - Prob. 33PECh. 11.2 - Prob. 34PECh. 11.2 - Prob. 35PECh. 11.2 - In Exercises 1-42, use properties of limits to...Ch. 11.2 - Prob. 37PECh. 11.2 - Prob. 38PECh. 11.2 - Prob. 39PECh. 11.2 - Prob. 40PECh. 11.2 - Prob. 41PECh. 11.2 - Prob. 42PECh. 11.2 - Prob. 43PECh. 11.2 - Prob. 44PECh. 11.2 - Prob. 45PECh. 11.2 - Prob. 46PECh. 11.2 - Prob. 47PECh. 11.2 - Prob. 48PECh. 11.2 - Prob. 49PECh. 11.2 - Prob. 50PECh. 11.2 - Prob. 51PECh. 11.2 - Prob. 52PECh. 11.2 - Prob. 53PECh. 11.2 - Prob. 54PECh. 11.2 - Prob. 55PECh. 11.2 - Prob. 56PECh. 11.2 - Prob. 57PECh. 11.2 - Prob. 58PECh. 11.2 - 59. The formula
Expresses...Ch. 11.2 - Prob. 60PECh. 11.2 - Prob. 61PECh. 11.2 - Prob. 62PECh. 11.2 - Prob. 63PECh. 11.2 - Prob. 64PECh. 11.2 - Prob. 65PECh. 11.2 - 66. Describe how to find the limit of a polynomial...Ch. 11.2 - Prob. 67PECh. 11.2 - Prob. 68PECh. 11.2 - Prob. 69PECh. 11.2 - Prob. 70PECh. 11.2 - Prob. 71PECh. 11.2 - Prob. 72PECh. 11.2 - Prob. 73PECh. 11.2 - Prob. 74PECh. 11.2 - Prob. 75PECh. 11.2 - Prob. 76PECh. 11.2 - Prob. 77PECh. 11.2 - Prob. 78PECh. 11.2 - Prob. 79PECh. 11.2 - Prob. 80PECh. 11.2 - Prob. 81PECh. 11.2 - Prob. 82PECh. 11.2 - Prob. 83PECh. 11.2 - Prob. 84PECh. 11.2 - Prob. 86PECh. 11.2 - Prob. 87PECh. 11.2 - Prob. 88PECh. 11.2 - Prob. 89PECh. 11.2 - Prob. 90PECh. 11.2 - Prob. 91PECh. 11.2 - Prob. 92PECh. 11.3 - Prob. 1CPCh. 11.3 - Prob. 2CPCh. 11.3 - Prob. 1CVCCh. 11.3 - Prob. 2CVCCh. 11.3 - Prob. 3CVCCh. 11.3 - Fill in each blank so that the resulting statement...Ch. 11.3 - Prob. 5CVCCh. 11.3 - Prob. 6CVCCh. 11.3 - Prob. 1PECh. 11.3 - Prob. 2PECh. 11.3 - Prob. 3PECh. 11.3 - Prob. 4PECh. 11.3 - Prob. 5PECh. 11.3 - Prob. 6PECh. 11.3 - Prob. 7PECh. 11.3 - Prob. 8PECh. 11.3 - Prob. 9PECh. 11.3 - Prob. 10PECh. 11.3 - Prob. 11PECh. 11.3 - Prob. 12PECh. 11.3 - Prob. 13PECh. 11.3 - Prob. 14PECh. 11.3 - Prob. 15PECh. 11.3 - Prob. 16PECh. 11.3 - Prob. 17PECh. 11.3 - Prob. 18PECh. 11.3 - Prob. 19PECh. 11.3 - Prob. 20PECh. 11.3 - Prob. 21PECh. 11.3 - Prob. 22PECh. 11.3 - Prob. 23PECh. 11.3 - Prob. 24PECh. 11.3 - Prob. 25PECh. 11.3 - Prob. 26PECh. 11.3 - Prob. 27PECh. 11.3 - Prob. 28PECh. 11.3 - Prob. 29PECh. 11.3 - Prob. 30PECh. 11.3 - Prob. 31PECh. 11.3 - Prob. 32PECh. 11.3 - Prob. 33PECh. 11.3 - Prob. 34PECh. 11.3 - Prob. 35PECh. 11.3 - Prob. 36PECh. 11.3 - Prob. 37PECh. 11.3 - Prob. 38PECh. 11.3 - Prob. 39PECh. 11.3 - Prob. 40PECh. 11.3 - Prob. 41PECh. 11.3 - Prob. 42PECh. 11.3 - Prob. 43PECh. 11.3 - Prob. 44PECh. 11.3 - 45. The following piecewise function gives the tax...Ch. 11.3 - Prob. 46PECh. 11.3 - Prob. 47PECh. 11.3 - Prob. 48PECh. 11.3 - Prob. 49PECh. 11.3 - Prob. 50PECh. 11.3 - Prob. 51PECh. 11.3 - Prob. 52PECh. 11.3 - Prob. 53PECh. 11.3 - Prob. 54PECh. 11.3 - Prob. 55PECh. 11.3 - Prob. 56PECh. 11.3 - Prob. 57PECh. 11.3 - Prob. 58PECh. 11.3 - Prob. 59PECh. 11.3 - Prob. 60PECh. 11.3 - Prob. 61PECh. 11.3 - A lottery game is set up so that each player...Ch. 11.3 - Prob. 63PECh. 11.3 - Prob. 64PECh. 11.3 - Prob. 65PECh. 11.3 - Prob. 66PECh. 11.3 - Prob. 67PECh. 11.3 - Prob. 68PECh. 11.3 - Prob. 1MCCPCh. 11.3 - Prob. 2MCCPCh. 11.3 - Prob. 3MCCPCh. 11.3 - Prob. 4MCCPCh. 11.3 - Prob. 5MCCPCh. 11.3 - Prob. 6MCCPCh. 11.3 - Prob. 7MCCPCh. 11.3 - Prob. 8MCCPCh. 11.3 - Prob. 9MCCPCh. 11.3 - Prob. 10MCCPCh. 11.3 - Prob. 11MCCPCh. 11.3 - Prob. 12MCCPCh. 11.3 - Prob. 13MCCPCh. 11.3 - Prob. 14MCCPCh. 11.3 - Prob. 15MCCPCh. 11.3 - Prob. 16MCCPCh. 11.3 - Prob. 17MCCPCh. 11.3 - Prob. 18MCCPCh. 11.3 - Prob. 19MCCPCh. 11.3 - Prob. 20MCCPCh. 11.3 - Prob. 21MCCPCh. 11.3 - Prob. 22MCCPCh. 11.4 - Check Point 1 Find the slope of the tangent line...Ch. 11.4 - Prob. 2CPCh. 11.4 - Prob. 3CPCh. 11.4 - Prob. 4CPCh. 11.4 - Prob. 5CPCh. 11.4 - Prob. 1CVCCh. 11.4 - Prob. 2CVCCh. 11.4 - Prob. 3CVCCh. 11.4 - Prob. 4CVCCh. 11.4 - Prob. 5CVCCh. 11.4 - Fill in each blank so that the resulting statement...Ch. 11.4 - In Exercises 1-14,
Find the slope of the tangent...Ch. 11.4 - Prob. 2PECh. 11.4 - Prob. 3PECh. 11.4 - Prob. 4PECh. 11.4 - Prob. 5PECh. 11.4 - In Exercises 1-14, Find the slope of the tangent...Ch. 11.4 - In Exercises 1-14, Find the slope of the tangent...Ch. 11.4 - Prob. 8PECh. 11.4 - Prob. 9PECh. 11.4 - Prob. 10PECh. 11.4 - Prob. 11PECh. 11.4 - Prob. 12PECh. 11.4 - Prob. 13PECh. 11.4 - Prob. 14PECh. 11.4 - Prob. 15PECh. 11.4 - Prob. 16PECh. 11.4 - Prob. 17PECh. 11.4 - Prob. 18PECh. 11.4 - Prob. 19PECh. 11.4 - Prob. 20PECh. 11.4 - Prob. 21PECh. 11.4 - Prob. 22PECh. 11.4 - Prob. 23PECh. 11.4 - Prob. 24PECh. 11.4 - Prob. 25PECh. 11.4 - Prob. 26PECh. 11.4 - Prob. 27PECh. 11.4 - Prob. 28PECh. 11.4 - Prob. 29PECh. 11.4 - Prob. 30PECh. 11.4 - Prob. 31PECh. 11.4 - Prob. 32PECh. 11.4 - Prob. 33PECh. 11.4 - Prob. 34PECh. 11.4 - Prob. 35PECh. 11.4 - Prob. 36PECh. 11.4 - Prob. 37PECh. 11.4 - Prob. 38PECh. 11.4 - Prob. 39PECh. 11.4 - Prob. 40PECh. 11.4 - Prob. 41PECh. 11.4 - In Exercises 39-42, express all answers in terms...Ch. 11.4 - An explosion causes debris to rise vertically with...Ch. 11.4 - 44. An explosion causes debris to rise vertically...Ch. 11.4 - Prob. 45PECh. 11.4 - Prob. 46PECh. 11.4 - Prob. 47PECh. 11.4 - Prob. 48PECh. 11.4 - Prob. 49PECh. 11.4 - Prob. 50PECh. 11.4 - Prob. 51PECh. 11.4 - Prob. 52PECh. 11.4 - Prob. 53PECh. 11.4 - Prob. 54PECh. 11.4 - Prob. 55PECh. 11.4 - Prob. 56PECh. 11.4 - 57. A calculus professor introduced the derivative...Ch. 11.4 - Prob. 58PECh. 11.4 - Prob. 59PECh. 11.4 - Prob. 60PECh. 11.4 - Use the feature on a graphing utility that gives...Ch. 11.4 - Prob. 62PECh. 11.4 - Prob. 63PECh. 11.4 - Prob. 64PECh. 11.4 - Prob. 65PECh. 11.4 - Prob. 66PECh. 11.4 - Prob. 67PECh. 11.4 - Prob. 68PECh. 11.4 - Prob. 69PECh. 11.4 - Prob. 70PECh. 11.4 - Prob. 71PECh. 11.4 - Prob. 72PECh. 11.4 - Prob. 73PECh. 11.4 - Prob. 74PECh. 11.4 - In Exercises 70-15, graphs of functions are shown...Ch. 11.4 - A ball is thrown straight up from a rooftop 96...Ch. 11.4 - Prob. 77PECh. 11.4 - Prob. 78PECh. 11.4 - Prob. 79PECh. 11.4 - Prob. 80PECh. 11.4 - Prob. 81PECh. 11.4 - Prob. 82PECh. 11.4 - Prob. 83PECh. 11.4 - Prob. 84PECh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - In Exercise 9-23, use the graph of function f to...Ch. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - In Exercises 9-23, use the graph of function f to...Ch. 11 - In Exercises 9-23, use the graph of function f to...Ch. 11 - In Exercises 9-23, use the graph of function f to...Ch. 11 - In Exercise 9-23, use the graph of function f to...Ch. 11 - In Exercise 9-23, use the graph of function f to...Ch. 11 - In Exercise 9-23, use the graph of function f to...Ch. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - In Exercises 54-57.
Find f’(x).
Find the slope of...Ch. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 1TCh. 11 - In Exercises 2-7, use the graph of function f to...Ch. 11 - Prob. 3TCh. 11 - Prob. 4TCh. 11 - Prob. 5TCh. 11 - Prob. 6TCh. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Prob. 11TCh. 11 - Prob. 12TCh. 11 - Prob. 13TCh. 11 - Prob. 14TCh. 11 - Prob. 15TCh. 11 - Prob. 16TCh. 11 - Prob. 1CRECh. 11 - Prob. 2CRECh. 11 - Prob. 3CRECh. 11 - Prob. 4CRECh. 11 - Prob. 5CRECh. 11 - Prob. 6CRECh. 11 - Prob. 7CRECh. 11 - Prob. 8CRECh. 11 - Prob. 9CRECh. 11 - Prob. 10CRECh. 11 - Prob. 11CRECh. 11 - Prob. 12CRECh. 11 - Prob. 13CRECh. 11 - Prob. 14CRECh. 11 - Prob. 15CRECh. 11 - Prob. 16CRECh. 11 - Prob. 17CRECh. 11 - Prob. 18CRECh. 11 - Prob. 19CRECh. 11 - Prob. 20CRECh. 11 - Prob. 21CRECh. 11 - Prob. 22CRECh. 11 - Prob. 23CRECh. 11 - Prob. 24CRECh. 11 - Prob. 25CRECh. 11 - Prob. 26CRECh. 11 - Prob. 27CRECh. 11 - Prob. 28CRECh. 11 - Prob. 29CRECh. 11 - Prob. 30CRECh. 11 - Prob. 31CRECh. 11 - Prob. 32CRECh. 11 - 33. You have 200 feet of fencing to enclose a...Ch. 11 - Prob. 34CRECh. 11 - Prob. 35CRECh. 11 - Prob. 36CRECh. 11 - Prob. 37CRECh. 11 - Prob. 38CRECh. 11 - Prob. 39CRECh. 11 - Prob. 40CRE
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Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Chain Rule dy:dx = dy:du*du:dx; Author: Robert Cappetta;https://www.youtube.com/watch?v=IUYniALwbHs;License: Standard YouTube License, CC-BY
CHAIN RULE Part 1; Author: Btech Maths Hub;https://www.youtube.com/watch?v=TIAw6AJ_5Po;License: Standard YouTube License, CC-BY