auslooki.blogg.se - Applications differential calculus ppt

APPLICATIONS DIFFERENTIAL CALCULUS PPT FULL
APPLICATIONS DIFFERENTIAL CALCULUS PPT FREE

The concepts used to calculate the arc length can be generalized to find the surface area of a surface of revolution. The same process can be applied to functions of y. Taking a limit then gives us the definite integral formula. The arc length is first approximated using line segments, which generates a Riemann sum. 6.4: Arc Length of a Curve and Surface Area The arc length of a curve can be calculated using a definite integral.With the method of cylindrical shells, we integrate along the coordinate axis perpendicular to the axis of revolution. We can use this method on the same kinds of solids as the disk method or the washer method however, with the disk and washer methods, we integrate along the coordinate axis parallel to the axis of revolution. 6.3: Volumes of Revolution - Cylindrical Shells In this section, we examine the method of cylindrical shells, the final method for finding the volume of a solid of revolution.We consider three approaches-slicing, disks, and washers-for finding these volumes, depending on the characteristics of the solid. 6.2: Determining Volumes by Slicing In this section, we use definite integrals to find volumes of three-dimensional solids.In this case, it may be necessary to evaluate two or more integrals. If the graphs of the functions cross, or if the region is complex, use the absolute value of the difference of the functions.

APPLICATIONS DIFFERENTIAL CALCULUS PPT FREE

To find the area between two curves defined by functions, integrate the difference of the functions. Instead of writing notes on board, use of PowerPoint or similar means could free up time for more example problems and applications.

6.1: Areas between Curves Just as definite integrals can be used to find the area under a curve, they can also be used to find the area between two curves.

However, water levels in the lake vary considerably as a result of droughts and varying water demands. When Lake Mead, the reservoir behind the dam, is full, the dam withstands a great deal of force.

6.0: Prelude to Applications of Integration The Hoover Dam is an engineering marvel.

Visit the Math Cat Store to find more activities that are engaging for students and time-saving for you!ĭon't forget to leave feedback! For every review, you'll earn 5% back toward future TpT purchases.\) You can also purchase these slide decks as Google Slides!

Unit 6: Integration and Accumulation of Change.

Unit 5: Analytical Applications of Differentiation.

Unit 4: Contextual Applications of Differentiation.Unit 3: Differentiation: Composite, Implicit, and Inverse Functions.Unit 2: Differentiation: Definition and Basic Derivative Rules.

Or, you may purchase all slide decks separately: You may also enjoy the Calculus Unit Practice Slides Bundle (Units 0-8).

Using Tangent Lines to Approximate Values and Classify as Underestimates or Overestimates.

Finding Rates of Change in Contexts Other Than Motion.

Calculating Displacement and When a Particle is at Rest, Moving Left or Right, Speeding Up, Slowing Down.

Calculating Velocity and Acceleration using Differentiation.

Interpreting the Meaning of a Derivative in Context.

I usually tell my students I expect them all to finish at least half the problem set, but they should be challenging themselves to complete the entire slide. Most problem sets include multiple problems.

APPLICATIONS DIFFERENTIAL CALCULUS PPT FULL

This slide deck contains 19 problem sets and full solutions. Ready-to-go slides for warm-ups, closers, or a review activity! Ideal for a substitute as well, since full solutions are included for every problem! These problems align with the AP Calculus AB Course Outline.