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MATHEMATICSWith Casio fx 991-ES plus Calculator

TechniquesSESSION 3

Engr. Broddett B. Abatayo, GE, REA

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LimitsAlgebraic and Transcendental Functions

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557: CE Board April 1998Evaluate:

a. Unde ned. !c. "n nit#d. 1$%

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562: EE Board October1992Evaluate:

a. Unde ned. '$(c. "n nit#d. )ero

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564: ECE Board o!e"ber1994Evaluate:

a..c. !d.

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Evaluate:

a.

. Unde nedc. !d.

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Evaluate:

a. "n nit#

. Unde nedc. !d.

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DerivativesAlgebraic and Transcendental Functions

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565: EE Board October1997*i+erentiate

a. -.c.d. -

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The rst derivatives of is

a. f, x / 0 0x - ( $ 0x - (

.

c.

d. f, x / x - ( $ 0x - (

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Implicit Differentiation

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571: ME Board April 1997What is the rst derivative ofthe expression

a. !

.

c. -d.

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Second Derivatives

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Implicit Differentiation andthe Second Derivatives

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578: CE Board o!e"ber199$2ind the second derivative of

# # i3plicit di+ereftiationfro3 the equation

a.

.

c.

d.

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Partial Derivatives

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579: ME Board April 19972ind the partial derivatives 4ithrespect to x of the function

a..c.d.

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Indefinite IntegralAlgebraic and Transcendental Functions

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6$$: ECE Board o!e"ber1998 ME Board April 1998

"nte5rate

a.

.

c.

d.

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6$4: ME Board April 1995 ME Board April 1997"nte5rate:

a.

.

c.d.

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Definite IntegralAlgebraic and Transcendental Functions

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641: ECE Board April 1998Evaluate

a..

c.

d.

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Evaluate

a. -

.

c. !

d.

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Double IntegralAlgebraic and Transcendental Functions

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Evaluate

a.

.

c.

d.

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Evaluate

a..

c.

d.

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Diophantine Equation

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2#9: ECE Board Marc% 19966 3erchant has three ite3s on sale7 na3el# a radiofor 8(!7 a cloc for 8'! and a ashli5ht for 81. 6t

the end of the da#7 he sold a total of 81!! of thethree ite3s and has ta en exactl# 81!!! on thetotal sales. ;o4 3an# radios did he sale<

a. 1=.0!

c. 1>d.0?

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Set Notation and InequalitieAbsolute alue Functions

2i d ll l l i h

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2ind all real solution to theequation

a..c.d.

2i d ll l l i h

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2ind all real solution to theequation

a..c.d.

2i d h l i f

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2ind the solution set of

.

c.

d.

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