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GATE CS 2019 -Engg Maths Quiz-4 ( Integral calculus ) (App update required to attempt this test)

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Question 1

Question 2

Function f is known at the following points

The value  computed using the trapezoidal rule is

Question 3

The value of the integral given below is

Question 4

The Newton–Raphson iteration  can be used to compute the

Question 5

The bisection method is applied to compute a zero of the function f(x) = x4 – x3 – x2 – 4 in the interval [1,9]. The method converges to a solution after _______________ iterations.

Question 6

With respect to the numerical evaluation of the definite integral, where a and b are given, which of the following statements is/are TRUE?
(I) The value of K obtained using the trapezoidal rule is always greater than or equal to the exact value of the definite integral.
(II) The value of K obtained using the Simpson's rule is always equal to the exact value of the definite integral.
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Sep 23GATE & PSU CS