Recent questions and answers in Numerical Methods

Backward Euler method for solving the differential equation $\frac{dy}{dx}=f(x, y)$ is specified by, (choose one of the following).$y_{n+1}=y_n+hf(x_n, y_n)$$y_{n+1}=y_n+...

One root of $x^{3} – x – 4 = 0$ lies in $(1, 2).$ In bisection method, after first iteration the root lies in the interval ___________ .$(1, 1.5)$$(1.5, 2)$$(1.25, 1.75)$...

The simplex method is so named because It is simple.It is based on the theory of algebraic complexes.The simple pendulum works on this method.No one thought of a better n...

In which of the following methods proper choice of initial value is very important?Bisection methodFalse positionNewton-RaphsonBairsto method

The following definite integral evaluates to$$\int_{-\infty}^{0} e^ {-\left(\frac{x^2}{20} \right )}dx$$$\frac{1}{2}$$\pi \sqrt{10}$$\sqrt{10}$$\pi$

The minimum number of equal length subintervals needed to approximate $\int_1^2 xe^x\,dx$ to an accuracy of at least $\frac{1}{3}\times10^{-6}$ using the trapezoidal rule...

Loosely speaking, we can say that a numerical method is unstable if errors introduced into the computation grow at _________ rate as the computation proceeds.

Consider an LPP given as$\text{Max } Z=2x_1-x_2+2x_3$subject to the constraints$$2x_1+x_2 \leq 10 \\ x_1+2x_2-2x_3 \leq 20 \\ x_1 + 2x_3 \leq 5 \\ x_1, \: x_2 \: x_3 \geq...

In PERT/CPM, the merge event represents _____ of two or more events.completionbeginningsplittingjoining

The convergence of the bisection method isCubicQuadraticLinearNone

Using bisection method, one root of $x^4-x-1$ lies between $1$ and $2$. After second iteration the root may lie in interval:$(1.25,1.5)$$(1,1.25)$$(1,1.5)$None of the opt...

Let $u$ and $v$ be two vectors in $R^2$ whose Eucledian norms satisfy $\mid u\mid=2\mid v \mid$. What is the value $\alpha$ such that $w=u+\alpha v$ bisects the angle bet...

Does in iiith pgeee exam , does Reading comprehension is being asked. Do we need to prepare for it?

A root $\alpha$ of equation $f(x)=0$ can be computed to any degree of accuracy if a 'good' initial approximation $x_0$ is chosen for which$f(x_0) 0$$f (x_0) f''(x_0) 0$...

Five men are available to do five different jobs. From past records, the time (in hours) that each man takes to do each job is known and is given in the following table :...