Prerequisite Diagnostic Quiz

What is the derivative of f(t)=3t2+2t+1?

• 6t+2

• 6t

• 2t+1

• 3t+2

What is the Laplace transform of f(t)=e2t?

• 1/(s+2)

• 1/(s-2)

• s/(s+2)

• None

The solution to dxdt+2x=4, with x(0)=0 is:

• x(t)=2(1−e−2t)

• x(t)=4e−2t

• x(t)=2e−2t

• x(t)=e−2t

Which of the following is a correct way to multiply two matrices AA and BB?

• By multiplying corresponding elements

• Row by column multiplication

• Adding elements

• Transposing both before multiplying

Newton's Second Law states:

• Force = Mass x Velocity

• Force = Mass x Acceleration

• Force = Mass x Displacement

• Force = Power x Time

Ohm's Law relates:

• Current, voltage, resistance

• Power, voltage, current

• Current, inductance, capacitance

• Resistance, power, frequency

An open-loop control system:

• Has no feedback

• Uses feedback

• Is always stable

• None of the above

The function of a feedback loop is to:

• Increase output only

• Reduce sensitivity to disturbance

• Eliminate the need for sensors

• Only increase gain

Block diagrams are used to:

• Represent system components and their relationships

• Only represent electronic circuits

• Draw mechanical free-body diagrams

• List system parameters

The transfer function is defined as:

• Output/Input in Laplace domain with zero initial conditions

• Input/Output in time domain

• Output/Input in frequency domain

• Output/Input in the z-domain