▷Solved: Volume of Solid of Rotation by Washer Method using the TiNspire CX

Computing the Volume of a solid of rotation using the Washer or Shell Method

can easily be performed using TiNSpire’s Calculus Made Easy app as follows.

After selecting the Washer Method about x-axis just enter the upper U and lower function L

(dont worry in case you swap them : the answer will be correct except it will have a minus sign with it. )

and the interval bounds a and b as shown in belows image:

 

You can see the general washer method formula and how it is applied to you specific problem.

Additionally, you will see the antiderivative (if it is exists), the exact and finally the correct decimal answer.

Finding the volume of solids of rotation and with known cross sections are just a few integral applications included in the Calculus Made Easy app of your TiNspire. Other included applications are surface area of solids, curve lengths, center of math, improper integrals, etc

Best of all Calculus Made Easy can be used for 3 courses of Calculus: Calculus I, II and III, the latter being a typical Multivariable Calculus course which involves partial derivatives and multiple integrals.

 

 

Taylor and McLaurin Series Step by Step on the TiNspire CX – Calculus Made Easy

Finding Taylor Series and MacLaurin Series Step by Step using the TiNspire is as easy as pie:

Say you are asked to find the Taylor Series centered at a=0 up to degree n=3 (really a MacLaurin series as the center is at 0 )

So plug into Calculus Made Easy option 7 D as follows :

The derivatives are taken in order to compute the coefficients for each term up to degree 3.

The final answer is of degree 2 as the coefficient for the 3rd degree term is 0.

 

Additionally, other series topics such as interval of convergence and alternating series and Lagrange errors can be found as well using Calculus Made Easy at https://tinspireapps.com/?a=cme 

 

Step by Step Business Calculus app for the Ti-Nspire CAS CX

Business Calculus contains the same modules as Calculus Made Easy and also contains stepwise solutions to Business Calculus topics such as maximum revenue/profit, marginal analysis, demand analysis, supply analysis, economic order quantity, price elasticity, consumer surplus, and more.

 

Watch Biz Calculus homework done on the TINspire at https://youtu.be/xarSqb-K2kc