Consider the regular subdivision of the interval [a, b] as a = x0

Please solve this two exercisConsider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 =<br>b, with the step size h = xi+1– xị, and define the function f on [a, b] such that f(a) =<br>f(b) = 1, f(x1) = 1.5, f(x2) = f (x3) = 2. Suppose that the length of the interval [a, b] is<br>3, then the approximation of I = f(x)dx using composite Simpson's rule with n= 4 is:<br>O 5<br>5/3<br>O 10/3<br>5/2<br>

Extracted text: Consider the regular subdivision of the interval [a, b] as a = x0 < x1="">< x2="">< x3="">< x4="b," with="" the="" step="" size="" h="xi+1–" xị,="" and="" define="" the="" function="" f="" on="" [a,="" b]="" such="" that="" f(a)="f(b)" =="" 1,="" f(x1)="1.5," f(x2)="f" (x3)="2." suppose="" that="" the="" length="" of="" the="" interval="" [a,="" b]="" is="" 3,="" then="" the="" approximation="" of="" i="f(x)dx" using="" composite="" simpson's="" rule="" with="" n="4" is:="" o="" 5="" 5/3="" o="" 10/3="">
*<br>= f(2/5) =<br>= 2, f(1/5)<br>Sif(x)dx by<br>Consider the function f defined on [0, 1] such that f(0) =<br>1, f(1)<br>3, and f () = c and f(4/5) = 1. Suppose that the approximation of I =<br>composite Trapezoidal rule with 5 subintervals is 1.8, then the value of c is:<br>4<br>-0.5<br>O 0.5<br>

Extracted text: * = f(2/5) = = 2, f(1/5) Sif(x)dx by Consider the function f defined on [0, 1] such that f(0) = 1, f(1) 3, and f () = c and f(4/5) = 1. Suppose that the approximation of I = composite Trapezoidal rule with 5 subintervals is 1.8, then the value of c is: 4 -0.5 O 0.5

Jun 04, 2022
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