Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN: 9781337111348
Author: Bruce Crauder, Benny Evans, Alan Noell
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 5.4, Problem 4SBE
SKILL BUILDING EXERCISES
Formula for Composed Functions In Exercise S-1 through S-4, use a formula to express
Use a formula to express
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Ch. 5.1 - TEST YOUR UNDERSTANDING Another fish population...Ch. 5.1 - Prob. 2TUCh. 5.1 - Prob. 3TUCh. 5.1 - Special Rounding instructions When you perform...Ch. 5.1 - Special Rounding Instructions When you perform...Ch. 5.1 - Special Rounding Instructions When you perform...Ch. 5.1 - Special Rounding Instructions When you perform...Ch. 5.1 - Special Rounding Instructions When you perform...Ch. 5.1 - Special Rounding Instructions When you perform...Ch. 5.1 - Special Rounding Instructions When you perform...
Ch. 5.1 - Special Rounding Instructions When you perform...Ch. 5.1 - Special Rounding Instructions When you perform...Ch. 5.1 - Prob. 11ECh. 5.1 - Special Rounding Instructions When you perform...Ch. 5.1 - Prob. 13ECh. 5.1 - Long-Term Data and the Carrying Capacity This is a...Ch. 5.1 - Prob. 15ECh. 5.1 - Cable TV The following table shows the number C....Ch. 5.1 - World Population The following table shows world...Ch. 5.1 - Prob. 18ECh. 5.1 - More on the Pacific Sardine This is a continuation...Ch. 5.1 - Modeling Human Height with a Logistic Function A...Ch. 5.1 - Eastern Pacific Yellowfin Tuna Studies to fit a...Ch. 5.1 - Prob. 22ECh. 5.1 - Special Rounding Instructions When you perform...Ch. 5.1 - Prob. 24ECh. 5.1 - SKILL BUILDING EXERCISES Estimating Optimum Yield...Ch. 5.1 - SKILL BUILDING EXERCISES Estimating Carrying...Ch. 5.1 - SKILL BUILDING EXERCISES Logistic GrowthWhen we...Ch. 5.1 - SKILL BUILDING EXERCISES Percentage Rate of Change...Ch. 5.1 - SKILL BUILDING EXERCISES HarvestingWhat is the...Ch. 5.1 - SKILL BUILDING EXERCISES Harvesting Suppose a...Ch. 5.1 - SKILL BUILDING EXERCISES Harvesting Continued The...Ch. 5.1 - SKILL BUILDING EXERCISES Finding Logistic...Ch. 5.1 - Prob. 9SBECh. 5.1 - Prob. 10SBECh. 5.1 - Prob. 11SBECh. 5.1 - Prob. 12SBECh. 5.1 - Prob. 13SBECh. 5.1 - Prob. 14SBECh. 5.1 - Prob. 15SBECh. 5.1 - Prob. 16SBECh. 5.1 - Prob. 17SBECh. 5.1 - Prob. 18SBECh. 5.1 - Prob. 19SBECh. 5.1 - Prob. 20SBECh. 5.1 - Prob. 21SBECh. 5.1 - Prob. 22SBECh. 5.1 - Prob. 23SBECh. 5.1 - Prob. 24SBECh. 5.1 - Prob. 25SBECh. 5.1 - Prob. 26SBECh. 5.1 - Prob. 27SBECh. 5.1 - Prob. 28SBECh. 5.1 - Prob. 29SBECh. 5.1 - Prob. 30SBECh. 5.1 - Prob. 31SBECh. 5.1 - Prob. 32SBECh. 5.1 - Prob. 33SBECh. 5.1 - Prob. 34SBECh. 5.1 - Prob. 35SBECh. 5.1 - Prob. 36SBECh. 5.1 - Prob. 37SBECh. 5.2 - TEST YOUR UNDERSTANDING In the situation of the...Ch. 5.2 - Prob. 2TUCh. 5.2 - Prob. 3TUCh. 5.2 - Prob. 1ECh. 5.2 - Reminder Round all answers to two decimal places...Ch. 5.2 - Reminder Round all answers to two decimal places...Ch. 5.2 - Prob. 4ECh. 5.2 - Reminder Round all answers to two decimal places...Ch. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Reminder Round all answers to two decimal places...Ch. 5.2 - Reminder Round all answers to two decimal places...Ch. 5.2 - Reminder Round all answers to two decimal places...Ch. 5.2 - Reminder Round all answers to two decimal places...Ch. 5.2 - Reminder Round all answers to two decimal places...Ch. 5.2 - Prob. 15ECh. 5.2 - Reminder Round all answers to two decimal places...Ch. 5.2 - Tsunami Waves and BreakwatersThis is a...Ch. 5.2 - Reminder Round all answers to two decimal places...Ch. 5.2 - Prob. 19ECh. 5.2 - Prob. 20ECh. 5.2 - Prob. 21ECh. 5.2 - Prob. 22ECh. 5.2 - Reminder Round all answers to two decimal places...Ch. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Prob. 1SBECh. 5.2 - Prob. 2SBECh. 5.2 - Prob. 3SBECh. 5.2 - Prob. 4SBECh. 5.2 - Prob. 5SBECh. 5.2 - Prob. 6SBECh. 5.2 - HomogeneityExercises S-7 through S-I3 deal with...Ch. 5.2 - Homogeneity Exercises S-7 through S-13 deal with...Ch. 5.2 - HomogeneityExercises S-7 through S-I3 deal with...Ch. 5.2 - Prob. 10SBECh. 5.2 - Prob. 11SBECh. 5.2 - Homogeneity Exercises S-7 through S-13 deal with...Ch. 5.2 - Prob. 13SBECh. 5.2 - Prob. 14SBECh. 5.2 - Prob. 15SBECh. 5.2 - Prob. 16SBECh. 5.2 - Making Power FormulasIn Exercises S-16 through...Ch. 5.2 - Prob. 18SBECh. 5.2 - Making Power FormulasIn Exercises S-16 through...Ch. 5.2 - Prob. 20SBECh. 5.3 - Prob. 1TUCh. 5.3 - Prob. 2TUCh. 5.3 - Prob. 3TUCh. 5.3 - Zipfs Law The following table shows U.S cities by...Ch. 5.3 - Planetary Velocity The following table gives the...Ch. 5.3 - Stopping Distance The table below shows the...Ch. 5.3 - Distance to the Horizon A sailor records the...Ch. 5.3 - Hydroplaning On wet roads, under certain...Ch. 5.3 - Urban Travel Times Population of cities and...Ch. 5.3 - Mass-Luminosity Relation Roughly 90 of all stars...Ch. 5.3 - Growth Rate Versus Weight Ecologists have studied...Ch. 5.3 - Prob. 9ECh. 5.3 - Prob. 10ECh. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Prob. 17ECh. 5.3 - Reminder Round all answers to two decimal places...Ch. 5.3 - Prob. 19ECh. 5.3 - Weight Versus Height The following data show the...Ch. 5.3 - Prob. 21ECh. 5.3 - Prob. 22ECh. 5.3 - Prob. 1SBECh. 5.3 - Prob. 2SBECh. 5.3 - Prob. 3SBECh. 5.3 - Prob. 4SBECh. 5.3 - An Easy Power Formula Model the following data...Ch. 5.3 - Prob. 6SBECh. 5.3 - Prob. 7SBECh. 5.3 - Prob. 8SBECh. 5.3 - Prob. 9SBECh. 5.3 - Prob. 10SBECh. 5.3 - Prob. 11SBECh. 5.3 - Prob. 12SBECh. 5.3 - Prob. 13SBECh. 5.3 - Prob. 14SBECh. 5.3 - Prob. 15SBECh. 5.3 - Prob. 16SBECh. 5.3 - Prob. 17SBECh. 5.4 - TEST YOUR UNDERSTANDING | FOR EXAMPLE 5.10 When...Ch. 5.4 - Prob. 2TUCh. 5.4 - TEST YOUR UNDERSTANDING | FOR EXAMPLE 5.12 Find a...Ch. 5.4 - Prob. 4TUCh. 5.4 - EXERCISES Reminder Round all answers to two...Ch. 5.4 - Round all answers to two decimal places unless...Ch. 5.4 - EXERCISE River flow The cross sectional area C, in...Ch. 5.4 - EXERCISES Net Profit Margin The net profit margin...Ch. 5.4 - A Skydiver If a skydiver jumps from an airplane,...Ch. 5.4 - Present Value If you invest P dollars the present...Ch. 5.4 - Prob. 7ECh. 5.4 - Prob. 8ECh. 5.4 - Prob. 9ECh. 5.4 - Reminder Round all answers to two decimal places...Ch. 5.4 - Reminder Round all answers to two decimal places...Ch. 5.4 - Average Traffic Spacing The headway h is the...Ch. 5.4 - Prob. 13ECh. 5.4 - Decay of Litter Litter such as leaves falls to the...Ch. 5.4 - Prob. 15ECh. 5.4 - Reminder Round all answers to two decimal places...Ch. 5.4 - Reminder Round all answers to two decimal places...Ch. 5.4 - Prob. 18ECh. 5.4 - Reminder Round all answers to two decimal places...Ch. 5.4 - Prob. 20ECh. 5.4 - SKILL BUILDING EXERCISES Formula for Composed...Ch. 5.4 - SKILL BUILDING EXERCISES Formula for Composed...Ch. 5.4 - SKILL BUILDING EXERCISES Formulas for Composed...Ch. 5.4 - SKILL BUILDING EXERCISES Formula for Composed...Ch. 5.4 - Formulas for Composed functions In Exercises S-5...Ch. 5.4 - Formulas for Composed functions In Exercises S-5...Ch. 5.4 - Formulas for Composed functions In Exercises S-5...Ch. 5.4 - Formulas for Composed functions In Exercises S-5...Ch. 5.4 - Limiting values Find the limiting value of...Ch. 5.4 - Multiplying Functions A certain function f is the...Ch. 5.4 - Adding Functions A certain function f is the sum...Ch. 5.4 - Decomposing Functions Let f(x)=x2 and g(x)=x+1....Ch. 5.4 - Decomposing Functions If f(x)=x2+3, express f as a...Ch. 5.4 - Prob. 14SBECh. 5.4 - Decomposing Functions To join a book club, you pay...Ch. 5.4 - Prob. 16SBECh. 5.4 - Combining Functions Let f(x)=x21 and g(x)=1x. Find...Ch. 5.5 - TEST FOR UNDERSTANDING FOR EXAMPLE 5.14 Find a...Ch. 5.5 - TEST YOUR UNDERSTANDINGFOR EXAMPLE 5.15 What range...Ch. 5.5 - TEST FOR UNDERSTANDING FOR EXAMPLE 5.16 In the...Ch. 5.5 - Reminder Round all the answers to two decimal...Ch. 5.5 - Reminder Round all the answers to two decimal...Ch. 5.5 - Reminder Round all the answers to two decimal...Ch. 5.5 - 5.5 EXERCISES Reminder Round all answers to two...Ch. 5.5 - Reminder Round all answers to two decimal places...Ch. 5.5 - Reminder Round all the answers to two decimal...Ch. 5.5 - Reminder Round all the answers to two decimal...Ch. 5.5 - Reminder Round all the answers to two decimal...Ch. 5.5 - Reminder Round all the answers to two decimal...Ch. 5.5 - Reminder Round all the answers to two decimal...Ch. 5.5 - Reminder Round all answers to two decimal places...Ch. 5.5 - Prob. 12ECh. 5.5 - Reminder Round all the answers to two decimal...Ch. 5.5 - Reminder Round all answers to two decimal places...Ch. 5.5 - Reminder Round all answers to two decimal places...Ch. 5.5 - Prob. 16ECh. 5.5 - 5.5 SKILL BUILDING EXERCISES Using the Quadratic...Ch. 5.5 - 5.5 SKILL BUILDING EXERCISES Using the Quadratic...Ch. 5.5 - 5.5 SKILL BUILDING EXERCISES Using the Quadratic...Ch. 5.5 - 5.5 SKILL BUILDING EXERCISES Using the Quadratic...Ch. 5.5 - 5.5 SKILL BUILDING EXERCISES Using the Quadratic...Ch. 5.5 - Prob. 6SBECh. 5.5 - The Single-Graph method In Exercises S-7 through...Ch. 5.5 - Prob. 8SBECh. 5.5 - Prob. 9SBECh. 5.5 - Prob. 10SBECh. 5.5 - Prob. 11SBECh. 5.5 - Prob. 12SBECh. 5.5 - Prob. 13SBECh. 5.5 - Prob. 14SBECh. 5.5 - Prob. 15SBECh. 5.5 - Prob. 16SBECh. 5.5 - Prob. 17SBECh. 5.5 - Prob. 18SBECh. 5.5 - Prob. 19SBECh. 5.5 - Using Quadratic Regression In Exercises S-13...Ch. 5.6 - The following fictitious table shows kryptonite...Ch. 5.6 - According to Doyle log rule, the length L in feet,...Ch. 5.6 - Prob. 3TUCh. 5.6 - A Dubious Model of Oil Prices The following table...Ch. 5.6 - Speed of Sound in the North Atlantic The speed of...Ch. 5.6 - Traffic Accidents The following table shows the...Ch. 5.6 - Poiseuilles Law for Rate of Fluid Flow Poiseuilles...Ch. 5.6 - Population Genetics In the study of population...Ch. 5.6 - Population Genetics-First Cousins This is a...Ch. 5.6 - Builders old measurement was instituted by law in...Ch. 5.6 - Change in London Travel Time This exercise is a...Ch. 5.6 - An Epidemic Model A certain disease is contracted...Ch. 5.6 - Prob. 10ECh. 5.6 - Prob. 11ECh. 5.6 - C of these fish caught by fishing over the life...Ch. 5.6 - Prob. 13ECh. 5.6 - Prob. 14ECh. 5.6 - 13. Inventory The yearly inventory expense E, in...Ch. 5.6 - Prob. 16ECh. 5.6 - Prob. 17ECh. 5.6 - Prob. 18ECh. 5.6 - Prob. 19ECh. 5.6 - Prob. 20ECh. 5.6 - Cubic Regression In Exercise S-1 through S-7, use...Ch. 5.6 - Cubic Regression In Exercise S-1 through S-7, use...Ch. 5.6 - Cubic Regression In Exercise S-1 through S-7, use...Ch. 5.6 - Prob. 4SBECh. 5.6 - Prob. 5SBECh. 5.6 - Cubic Regression In Exercise S-1 through S-7, use...Ch. 5.6 - Prob. 7SBECh. 5.6 - Prob. 8SBECh. 5.6 - Prob. 9SBECh. 5.6 - Prob. 10SBECh. 5.6 - Prob. 11SBECh. 5.6 - Prob. 12SBECh. 5.6 - Prob. 13SBECh. 5.6 - Quartic Regression In Exercise S-8 through S-14,...Ch. 5.6 - Recognizing Polynomials In Exercise S-15 through...Ch. 5.6 - Recognizing Polynomials In Exercise S-15 through...Ch. 5.6 - Recognizing Polynomials In Exercise S-15 through...Ch. 5.6 - Recognizing Polynomials In Exercise S-15 through...Ch. 5.6 - Rational Function Is y=xx1+x a rational function?Ch. 5.6 - S-20 Rational Function Is y=x3+4x2+x+1 is a...Ch. 5.6 - Rational Function? Is y=x+1x2 is a rational...Ch. 5.6 - Finding Poles Find the poles of y=xx23x+2.Ch. 5.6 - Finding Poles Find the poles of y=x+1x2+7x.Ch. 5.6 - Horizontal Asymptotes Find all the horizontal...Ch. 5.6 - Horizontal Asymptotes Find all the horizontal...Ch. 5.CR - Reminder Round all answers to two decimal places...Ch. 5.CR - Reminder Round all answers to two decimal places...Ch. 5.CR - Reminder Round all answers to two decimal places...Ch. 5.CR - Prob. 4CRCh. 5.CR - Prob. 5CRCh. 5.CR - Prob. 6CRCh. 5.CR - Reminder Round all answers to two decimal places...Ch. 5.CR - Prob. 8CRCh. 5.CR - Prob. 9CRCh. 5.CR - Prob. 10CRCh. 5.CR - Reminder Round all answers to two decimal places...Ch. 5.CR - Prob. 12CRCh. 5.CR - Prob. 13CRCh. 5.CR - Prob. 14CRCh. 5.CR - Reminder Round all answers to two decimal places...Ch. 5.CR - Prob. 16CRCh. 5.CR - Reminder Round all answers to two decimal places...Ch. 5.CR - Reminder Round all answers to two decimal places...Ch. 5.CR - Reminder Round all answers to two decimal places...Ch. 5.CR - Prob. 20CRCh. 5.CR - Reminder Round all answers to two decimal places...Ch. 5.FR1 - Prob. 1ECh. 5.FR1 - Prob. 2ECh. 5.FR1 - Prob. 3ECh. 5.FR1 - Prob. 4ECh. 5.FR1 - Prob. 5ECh. 5.FR1 - Prob. 6ECh. 5.FR1 - Prob. 7ECh. 5.FR1 - Prob. 8ECh. 5.FR2 - Prob. 1ECh. 5.FR2 - Prob. 2ECh. 5.FR2 - Prob. 3ECh. 5.FR2 - Prob. 4ECh. 5.FR2 - Prob. 5ECh. 5.FR2 - Prob. 6ECh. 5.FR2 - Prob. 7ECh. 5.FR2 - Prob. 8ECh. 5.FR2 - Prob. 9ECh. 5.FR2 - Prob. 10ECh. 5.FR2 - Prob. 11ECh. 5.FR2 - Prob. 12ECh. 5.FR2 - Prob. 13ECh. 5.FR2 - Reminder Round all answers to two decimal places...Ch. 5.FR2 - Prob. 15E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- Minimum Wage The table below is taken from the website of the U.S. Department of Labor. It shows the minimum wage for each decade from 1950 to 2010. The figures are adjusted for inflation and expressed in constant 2012 dollars. y=Year m=Minimumwage 1950 7.01 1960 7.59 1970 9.28 1980 8.46 1990 6.66 2000 6.90 2010 7.67 a. Find the value of m(1990). b. Use functional notation to express the minimum wage in 1985. c. Use the table to estimate the minimum wage in 1985. The actual value was 7.09.arrow_forwardHigh School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.arrow_forwardFreight on Class I Railroads According to the Association of American Railroads, Class I freight railroads are the line-haul freight railroads with 2006 operating revenue in excess of 346.8million. Let F=F(t) denote the freight revenue in billions of dollars of Class I railroads in year t. In 2005, Class I railroads had a freight revenue of 44.5billion. In 2007, the revenue was 52.9 billion. Calculate the average rate of change per year in F from 2005 to 2007 and explain its meaning in practical terms.arrow_forward
- Grazing Kangaroos The amount of vegetation eaten in a day by a grazing animal V of food available measured as biomass, in units such as pounds per acre. This relationship is called the functional response. If there is little vegetation available, the daily intake will be small, since the animal will have difficulty finding and eating the food. As the amount of food biomass increases, so does the daily intake. Clearly, though, there is a limit to the amount the animal will eat, regardless of the amount of food available. This maximum amount eaten is the satiation level. a.For the western grey kangaroo of Australia, the functional response is G=2.54.8e0.004V, where G=G(V) is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Draw a graph of G against V. Include vegetation biomass levels up to 2000 pounds per acre. ii. Is the graph you found in part i concave up or concave down? Explain in practical terms what your answer means about how this kangaroo feeds. iii. There is a minimal vegetation biomass level below which the western grey kangaroo will eat nothing. Another way of expressing this is to say that the animal cannot reduce the food biomass below this level. Find this minimal level. iv. Find the satiation level for the western grey kangaroo. b. For the red kangaroo of Australia, the functional response is R=1.91.9e0.033V, Where R is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Add the graph of R against V to the graph of G you drew in part a. ii. A simple measure of the grazing efficiency of an animal involves the minimal vegetation biomass level described above: The lower the minimal level for an animal, the more efficient it is at grazing. Which is more efficient at grazing, the western grey kangaroo or the red kangaroo?arrow_forwardLet f be a function with constant rate of change. Then a f is a ________ function and f is of the form fx = ______x ________. b The graph of f is a __________.arrow_forwardSpawner-Recruit Model In fish management it is important to know the relationship between the abundance of the spawners also called the parent stock and the abundance of the recruitsthat is, those hatchlings surviving to maturity. According to the Ricker model, the number of recruits R as a function of the number of spawners P has the form R=APeBp for some positive constants A and B. This model describes well a phenomenon observed in some fisheries: A large spawning group can actually lead to a small group of recruits. In a study of the sockeye salmon, it was determined that A=4 and B=0.7. Here we measure P and R in thousands of salmon. a. Make a graph of R versus P for the sockeye salmon. Assume there are at most 3000 spawners. b. Find the maximum number of salmon recruits possible. c. If the number of recruits R is greater than the number of spawners P, then the difference R-P of the recruits can be removed by fishing, and next season there will once again be P spawners surviving to renew the cycle. What value of P gives the maximum value of R-P, the number of fish available for removal by fishing?arrow_forward
- Does the following table represent a linear function ? If so, find the linear equation that models the data.arrow_forwardFalling with a parachute If an average-sized man jumps from an airplane with an open parachute, his downward velocity t seconds into the fall is v(t)=20(10.2t) Feet per second. a. Use functional notation to express the velocity 2 seconds into the fall, and then calculate it. b. Explain how the velocity increases with time. Include in your explanation the average rate of change from the beginning of the fall to the end of the first second and the average rate of change from the fifth second to the sixth second of the fall. c. Find the terminal velocity. d. Compare the time it takes to reach 99 of terminal velocity here with the time it took to reach 99 of terminal velocity in Example 2.1. On the basis of the information we have, which would you expect to reach 99 of terminal velocity first, a feather or a cannonball?arrow_forwardDropping Rocks on Mars The behavior of objects falling near Earths surface depends on the mass of Earth. On Mars, a much smaller planet than Earth, things are different. If Galileo had performed his experiment on Mars, he would have obtained the following table of data. t = seconds V = feet per second 0 0 1 12.16 2 24.32 3 36.48 4 48.64 5 60.8 a. Show that these data can be modeled by a linear function, and find a formula for the function. b. Calculate V10 and explain in practical terms what your answer means. c. Galileo found that the acceleration due to gravity of an object falling near Earths surface was 32 feet per second per second. Physicists normally denote this number by the letter g. If Galileo had lived on Mars, what value would he have found for g?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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