Problem

The temperature inside Vanessa's house

t

hours after midday is given by the function

T(t) = 6 \sin\left(\frac{\pi}{12}t\right) + 26

°C. a. Sketch the graph of

T

against

t

for

0 \le t \le 24

. b. Find the temperature inside Vanessa's house at: midnight c. Find the temperature inside Vanessa's house at: 2 pm. d. Find the maximum temperature inside Vanessa's house, and the time at which it occurs.

Browse the problem library