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Worksheet: Instantaneous Rate of Change
Q5:
Find the rate of change of when and determine, to the nearest minute, the positive angle between the tangent at and the positive -axis.
- A ,
- B ,
- C ,
- D ,
Q6:
Evaluate the rate of change of at .
- A3
- B
- C5
- D
- E
Q7:
Determine the rate of change of the function at .
- A
- B
- C
- D
Q8:
If the function , determine its rate of change when .
- A
- B
- C
- D
- E
Q9:
A length is initially 9 cm and increases at a rate of 3 cm/s. Write the length as a function of time, .
- A
- B
- C
- D
Q10:
Evaluate the rate of change of at .
- A
- B9
- C
- D
- E
Q11:
What is the rate of change for the function ?
Q12:
A circular disc preserves its shape as it shrinks. What is the rate of change of its area with respect to radius when the radius is 59 cm?
- A cm2/cm
- B cm2/cm
- C cm2/cm
- D cm2/cm
Q13:
Evaluate the rate of change of at .
- A
- B
- C
- D