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8/16/2019 Mathematics GE REVIEW Session 3
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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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