Quiz about DBM30033 : Assessment Week 10 (2)

Question 1

Which of the following is the standard form for the following

simultaneous linear equations ?

$$2a-3b+5c=19$$

$$-4a+c=6b-25$$

$$7c-2b=-16+a$$

Accepted Answer

$$2a-3b+5c=19$$

$$-4a-6b+c=-25$$ $$-a-2b+7c=-16$$

Answer

$$2a-3b+5c=19$$ $$-4a+6b+c=25$$ $$-a-2b+7c=-16$$

Answer

$$2a-3b+5c=19$$

$$-4a-6c+c=-25$$

$$-a+2b-7c=-16$$

Question 2

Which method that use "differentiation" to solve ?

Accepted Answer

Newton Raphson Method

Answer

Simple Fixed Point Iteration Method

Answer

Crout Method

Answer

Gaussian Elimination Method

Question 3

Expand $$\left(4x+5\right)^2$$

Accepted Answer

$$16x^2+40x+25$$

Answer

$$4x^2+40x+25$$

Answer

$$4x^2+20x+10$$

Answer

$$16x^2+40x+10$$

Question 4

$$\left(5st^2\right)dt=\left(7s^2t+4t^3\right)ds$$

Which method suitable to solve the first order differential equation above?

Accepted Answer

Homogeneous Equation

Answer

Integrating Factor

Answer

Separable Method

Answer

Direct Integration

Question 5

State the order and degree of the differential equation below :

$$\left(\frac{ ext{d}^2y}{ ext{d}x^2} ight)^4-6x\left(\frac{ ext{d}y}{ ext{d}x} ight)^5=9$$

Accepted Answer

Order = 2

Degree = 4

Answer

Order = 2

Degree = 5

Answer

Order = 4

Degree = 5

Question 6

State the order and degree of the differential equation below :

$$6y$$

Accepted Answer

Order = 2

Degree = 1

Answer

Order = 6

Degree = 2

Answer

Order = 2

Degree = 6

Question 7

State the order and degree of differential equation below :

$$9\frac{ ext{d}^2x}{ ext{d}y^2}+\left(\frac{ ext{d}^4x}{ ext{d}y^4} ight)^5=10y-\left(\frac{ ext{d}x}{ ext{d}y} ight)^7$$

Accepted Answer

Order = 4

Degree = 5

Answer

Order = 2

Degree = 7

Answer

Order = 4

Degree = 7

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