CK-12-Calculus

1.3. Models and Data http://www.ck12.org Since our calculator will also allow for a variety of non-linear functions to be used a ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity Let’s graph the equation over our data. We see the following gr ...

1.3. Models and Data http://www.ck12.org This example suggests that the sine over timetis a function that is used in a variety o ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity Lesson Summary Fit data to linear models. Fit data to quadrati ...

1.3. Models and Data http://www.ck12.org TABLE1.6:(continued) Year Boats Manatees killed 1993 526 15 1994 557 33 1995 585 34 199 ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity Based on the model for the previous problem, when will women m ...

1.3. Models and Data http://www.ck12.org TABLE1.11:(continued) Month Avg Temp (F) Feb 26. 3 March 37. 8 April 51 May 61. 7 June ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity 1.4 The Calculus Learning Objectives A student will be able to: ...

1.4. The Calculus http://www.ck12.org We note that the curve now looks very much like a straight line. If we were to overlay thi ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity can observe how they begin to approximate the tangent line to t ...

1.4. The Calculus http://www.ck12.org Hence we can use calculus to model situations where we wish to maximize or minimize a part ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity We will use a variation of this covering of the region with qua ...

1.4. The Calculus http://www.ck12.org If we call the rectangles R1–R4, from left to right, then we have the areas R 1 =^14 ∗f ( ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity a function ofx,then finding the area under the curve of the fun ...

1.4. The Calculus http://www.ck12.org b. Can you find the area under the curve fromx=−1 tox= 0 .Why or why not? What is problema ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity 1.5 Finding Limits Learning Objectives A student will be able t ...

1.5. Finding Limits http://www.ck12.org x→−lim 3 x^2 x++x^3 − 6. Unlike our simple quadratic function, f(x) =x^2 ,it is tedious ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity function and choose[BOX]. Using the directional arrows to move ...

1.5. Finding Limits http://www.ck12.org xlim→ 2 x^2 x++x^3 − 6 Our inspection of the graph suggests that the function aroundx=2 ...

http://www.ck12.org Chapter 1. Functions, Limits, and Continuity We say that the limit of a functionf(x)ataisL,written as limx→a ...