Question

Based on the following table of values for the function w(t), answer the questions below.

t 100 110 120 130 140 150
w(t) 1.1 5.5 10.8 17.6 25.6 35
a) Which of the following best describes the derivative of w(t)?
A. always negative
B. changes sign
C. always positive
b) Which of the following best describes the second derivative of w(t)?
A. changes sign
B. always negative
C. always positive

Answer 1

Sketching this situation (even if only roughly) could possibly tell you a great deal about the function w(t) and its 1st and 2nd derivatives.

Answer 2

Which of the following best describes w(t)? constant, always decreasing, always increasing

Answer 3

increasing constantly

Answer 4

that means its positive?