8/18/2019 Chenmat Quiz 4 Mc

1/2

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.

8/18/2019 Chenmat Quiz 4 Mc

2/2

)nswers

1. ". )*. ; 3.

7.