chenmat quiz 4 mc
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8/18/2019 Chenmat Quiz 4 Mc
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1. In Trapezoidal Method of Numerical Integration, in order to improve theaccuracy of the answer, one must:
a. Increase the height of the trapezoidal element, h.b. ecrease the height of the trapezoidal element, h.
c. !se the formula
hbb
A ×+
=
2
21
d. ecrease the number of trapezoidal elements.
". The following methods of integration utilizes the concept of the Trapezoidal#ule e$cept:
a. %impson&s #uleb. 'auss (uadraturec. #homberg&s Integrationd. )ll of them utilizes the Trapezoidal #ule
*. %impson&s 1+* and *+ #ule of numerical integration is based on ------- and
-------- interpolations respectively two answers/:a. 0inearb. (uadraticc. ubicd. 2$ponential
3. In 2uler&s Method for 4rdinary i5erential 26uation, the function,)( x f
pertains to the slope of the:
a. 'raph of)( x f at the current
)(i iteration.
b. 'raph of
)( x f
at the ne$t
)1( +i
iteration.
c. 'raph of the solution to the i5erential 26uation at the current)(i
iteration.
d. 'raph of the solution to the i5erential 26uation at the ne$t)1( +i
iteration.
7. The ne$t value of y
)( 1+i y
n the #unge89utta method is given by:
( )43211
226
k k k k h
y yii
++++=+
4k
is the increment based on the slope at the ------ of the interval.a. eginningb. Midpointc. 2nd
d.4
k
is not based on a slope.
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8/18/2019 Chenmat Quiz 4 Mc
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)nswers
1. ". )*. ; 3.
7.
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