Question 5 (5 points) You are using the Trapezoidal Method, with four panels, to

Question

Question 5 (5 points) You are using the Trapezoidal Method, with four panels, to approximate the area under the given function from a lower limit of a 3 to an upper limit of b 6 . function: f(x ) -3x 2 For which sequence of x points would you evaluate the function in order to approximate the area under the curve? 3.20,4.20,5.20,6.20 3.00,3.25,4.25,5.25,6.00 3.00 , 3.75 , 4.50 , 5.25, 6.00 3.00,3.50,4.50,5.50,6.00 Save Question 6 (5 points) Given the following recursive function definition, predict the value of s (5). s(x) O 21 O 31 O 33 35

Explanation / Answer

5.Answer below

Given n=4 panels and lower limit a=3 and higher limit b=6

In order to find test we need find width of each trapezoid using following formulae

x=(b-a)/n=(6-3)/4=3/4=0.75

Now the test points between 3 and 6 are

x1=3

x2=x1+x=3+0.75=3.75

x3=x2+x=3.75+0.75=4.50

x4=x3+x=4.50+0.75=5.25

x5=x4+x=5.25+0.75=6

So the answer is 3.0,3.75,4.50,5.25,6

6.Answer below

S(1)=3

S(5)=10+S(4)=31

S(4)=8+S(3)=21

S(3)=6+S(2)=13

S(2)=4+S(1)=7

So Answer is 31

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