Quiz Chapter 01.01 Introduction to Numerical Methods

1. Solving an engineering problem requires four steps. In order of sequence, the four steps are

formulate, solve, interpret, implement

solve, formulate, interpret, implement

formulate, solve, implement, interpret

formulate, implement, solve, interpret

2. One of the roots of the equation $x^3-3x^2+x-3$ is

-1

1

\sqrt{3}

3

3. The solution to the set of equations

most nearly is $(a,b,c)=$

(1,1,1)

(1,-1,1)

(1,1,-1)

does not have a unique solution

4. The exact integral of $\, \displaystyle\int_{0}^{\frac{\pi}{4}}2\cos\left (2x \right )dx$ is most nearly

-1.000

1.000

0.000

2.000

5. The value of $\dfrac{dy}{dx}\left(1.0\right)$ , given $y=\sin\left(3x\right)$ most nearly is

-5.9399

-1.980

0.31402

5.99178

6. The form of the exact solution of the ordinary differential equation

$2\dfrac{dy}{dx}+3y=5e^{-x},y\left(0\right)=5$ is

Ae^{-1.5x}+Be^{x}

Ae^{-1.5x}+Be^{-x}

Ae^{1.5x}+Be^{-x}

Ae^{-1.5x}+Bxe^{x}