4. Differential Calculus II

Rates Of Change In Engineering Contexts — Quiz

Test your understanding of rates of change in engineering contexts with 5 practice questions.

Practice Questions

Question 1

What physical quantity is the rate of change of position with respect to time in engineering motion problems?

Question 2

A machine part has position $s(t)=5t^2$ metres. What is the instantaneous velocity at $t=3$ seconds?

Question 3

Water enters a tank at a constant rate of $8$ litres per minute. How much water enters in $15$ minutes?

Question 4

The temperature of a rod rises from $25^\circ\text{C}$ to $41^\circ\text{C}$ in $8$ minutes. What is the average rate of change?

Question 5

If the cost function is $C(x)=50+4x$, what is the marginal cost per additional unit?