Overview This discussion will be completed in two parts and will allow you to reflect on this week's content and interact with your classmates. - Part 1 - Post your initial response to the discussion questions by Thursday at \( 11: 59 \mathrm{pm} \) - Part 2 - Post substantive feedback to two (2) classmates by Sunday at \( 11: 59 \mathrm{pm} \) Discussion Questions - The total area watered by a sprinkler depends on the maximum spraying distance of the sprinkler and the angle of rotation. To calculate the arc length, we use the equation \( s=r \theta \). To find the area watered we use the equation \( A=\frac{1}{2} r^{2} \theta \). In both formulas, \( \theta \) is in radians. In this discussion, you will select values for the spraying distance and angle of rotation, then use the values to find the arc length and total area watered by the sprinkler.

4. [5 points] Find all points \( (x, y) \) on the curve \( 6 x^{2}+3 y^{2}=4 \) such that the tangent line to the curve at \( (x, y) \) has a slope 2 .

\( \left. \begin{array} { l } { f ( x ) = \frac { \cos x ^ { 2 } } { x } } \\ { g ( x ) = ( x + 3 ) \cdot \tan ( 3 x ) } \\ { f ^ { \prime } ( x ) = ? \quad g ^ { \prime } ( x ) = ? } \end{array} \right. \)

y guide pose the velocity, \( v \), of an object is given by \( \mathrm{v}=2 \mathrm{t}^{2}+9 \mathrm{t}-11 \), where t is time in seconds. (He A. between -2 sec and 11 sec B. less than 0.5 sec and more than 11 sec C. less than or equal to 0.1 sec and more than or equal to 2 sec D. between -5.5 sec and 1 sec

Solve the quadratic inequality. Write the solution set in interval notation. \( x^{2}-8 x \leq-13 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type your answer in interval notation. Type an exact answer, using radicals as needed.) B. The solution set is the empty set.

draw the following function \( y=3 x+4 \)