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Topic: Use of the TI-92
Replies: 1   Last Post: Dec 15, 1997 2:53 PM

 Herbert Kasube Posts: 50 Registered: 12/3/04
Use of the TI-92
Posted: Dec 15, 1997 2:53 PM

A few people have asked me for examples of questions from my calculus
exams that were done with/without calculators. Here are a few --

NO CALCULATOR ALLOWED

Integrate : x^3 ln x dx
sin x cos x dx
xe^x dx from 0 to 1
1/(x^2 + 1) dx from 0 to 1

Use Taylor series to find

lim (x->0) [ (SQRT(x+1) - 1)/x ]

CALCULATOR (TI-92) ALLOWED

Convergence of series : SUM [ n/(n+1) ]
SUM [ (-1/2)^n ]

Volume of revolution problem ...

Find total mass of ash from Mt. St. Helens eruption within 100 meters
given density of ash

d(r) = 2000/(1+r^2) kg/square meter r meters from center

Solve : dy/dx = x^2 y^2

This was not the entire exam, but these problems are representative.

Herb Kasube
Department of Mathematics