Bissoy.com
Doctors Medicines MCQs Q&A

P(0, 3), Q(0.5, 4) and R(1, 5) are three points on the curve defined by f(x). Numerical integration is carried out using both Trapezoidal rule and Simpson's rule within limits x = 0 and x = 1 for the curve. The difference between the two results will be

P(0, 3), Q(0.5, 4) and R(1, 5) are three points on the curve defined by f(x). Numerical integration is carried out using both Trapezoidal rule and Simpson's rule within limits x = 0 and x = 1 for the curve. The difference between the two results will be Correct Answer 0

Related Questions

Five friends went for a trip where each carried a certain number of apples with them. The number of apples carried by C was 1 less than that by D, which was 5 more than the number of apples carried by E. The total number of apples carried by A and B both was equal to the average number of apples carried by C, D and E. If D carried more apples than B and they together carried 14 apples, which of the following is a possible value of the apples carried by A?
The integral $$\int\limits_{{{\text{x}}_1}}^{{{\text{x}}_2}} {{{\text{x}}^2}{\text{dx}}} $$  with x2 > x1 > 0 is evaluated analytically as well as numerically using a single application of the trapezoidal rule. If $$I$$ is the exact value of the integral obtained analytically and J is the approximate value obtained using the trapezoidal rule, which of the following statements is correct about their relationship?
What is the correct order of the development of the following? 1. Numerical control 2. Computer numerical control 3. Direct numerical control 4. Distributed numerical control
Numerical integration using trapezoidal rule gives the best result for a single variable function, which is
With respect to the numerical evaluation of the definite integral $${\text{K}} = \int_{\text{a}}^{\text{b}} {{{\text{x}}^2}{\text{dx,}}} $$   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.
A piecewise linear function f(x) is plotted using thick solid lines in the figure below (the plot is drawn to scale).
Numerical Methods mcq question image
If we use the Newton-Raphson method to find the roots of f(x) = 0 using x0, x1 and x2 respectively as initial guesses, the roots obtained would be
n the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of thefour alternatives. The rising sun has great inner ______. Not just to ______ the new morning right after the dark night, but also the new rhythms and vibrations within existence. Theentire universe – including the trees, birds and flowers – wake up to the rising sun. When we listen to the birds chirping and see the flower petals open, rememberthat the sunrise is not just a great happening on the outside. If we are alert and aware, then the sunrise is also happening deep within us. Something within ourselvesis also ______ with the first rays of the sun. We just need to be sensitive and available; we just need to be ______. Like the outside world, we need to open the inner doorto let the new dawn enter within. Just open the window of our inner world and allow the beautiful experience of sunrise to ______ within ourselves – this experience isbeyond anything earthly. sunrise to ______ within ourselves
Arrange the following stages in a sequence, such that they result in an ogee curve between two parallel lines AB and CD, such that they are the tangents to the arc. m) Join the adjacent ends B and C with a straight line. n) Divide the line BC into four parts using the points P1, P2, P3. o) Draw lines such that they pass through the points P1, P2, P3, and are perpendicular to the line BC. p) Draw the perpendicular lines through the points B and C such that they cut the lines passing through P1, P3 respectively at E and F. q) With the center E draw an arc BP2 and with center F draw an arc P2C, thus arc BP2C is required ogee curve.
Two circular dials of exactly the same size are mounted on a wall side by side in such a way that their perimeters touch at one point. Dial 1, which is on the left , spins clockwise around its center , and dial 2 , which is on the right spins counter clockwise around its center . (Assume that there is no friction at the point of contact between the dials.) Each dial is marked on its perimeter at three points that are at equale distances around the points arked ondial 1 are N, O, and P and the points marked on dial 2 are X, Y, and Z. If points O and Z are just meeting at the point of contact between the dials , and if dial 1 spins at the same speed as dial 2, what is the smallest number of revolutions of each dial that will bring O and Z together again?
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Bags X and Y contains Rs. 1, Rs. 2 and Rs. 5 coins in the ratio 6∶ 7∶ 4 and 9∶ 8∶ 5 respectively, such that the total money in the bags X and Y is in the ratio 6∶ 5. The total number of coins in bag X is 51. Quantity A: What is the difference between the number of Rs. 1 coins in the two bags? Quantity B: What is the difference between the number of Rs. 2 coins in the two bags? Quantity C: What is the difference between the number of Rs. 5 coins in the two bags?