Outside temperature over a day can be modelled using a sine or cosine function. Suppose you know the high temperature for the day is 62 degrees and the low temperature of 42 degrees occurs at 7 AM. Assuming \( t \) is the number of hours since midnight, find an equation for the temperature, \( D \), in terms of \( t \). \( D(t)= \)

Evaluate the following integral. \( \int 8 \sin ^{3} x \cos ^{5} x d x \)

Give an example of a polygon that exhibits line symmetry.

The perimeter of a circle is called the CIRCUMFERENCE. Circumference of a circle is given by the formula \( \mathrm{C}=2 \pi \mathrm{r} \) Where \( \pi=22 / 7 \) or 3.14 \( \mathrm{r}= \) The length from the midpoint(center) of the circle to the edge (side) Solve the formula for r and use it to answer the following question: If the Circumference of a circle is 31.4 centimeters (cm.) and you know that \( \pi=3.14 \), find the length of the radius of the circle ( r )?

11. Napisite a) \( \frac{2}{3} \)

2. \( \tan (\theta)+\cot (\theta) \equiv \sec (\theta) \cdot \csc (\theta) \)