1. State the condition/s at which the Continuity Equation is \( \nabla \cdot \vec{J}=0 \) 2. Derive the Continuity equation (or Local charge conservation), \( \nabla \cdot \bar{J}=-\frac{\partial \rho}{\partial t} \cdot \) (5)

Find the intervals on which \( f \) is increasing and the intervals on which it is decreasing. \( f(x)=-x^{3}-9 x \) Aelect the correct choice and, if necessary, fill in the answer box(es) to complete your choice. A. The function is increasing on the open interval(s) \( \square \) and decreasing on the open interval(s) (Simplify your answers. Type your answers in interval notation. Use a comma to separate answers as needed.) B. The function is increasing on the open interval(s) (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) C. The function is decreashing on the open interval(s) \( \square \). The function is never increasing. (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) D. The function is never increasing nor decreasing.

Draw a picture of the story problems. Answer the story problems. A 35 foot ladder leans against the top of a building. The ladder's base is 11.5 feet from the building. Find the angle of elevation between the ladder and the ground. Round your answer to the nearest tenth. Angle of Elevation \( =\square \) degrees.

D) \( \left(5 x^{2}-2 y\right)^{2} \quad \) b) \( (5 x-y) \cdot(5 x+y) \)

Pronomen erkennen Markiere im folgenden Text alle Pronomen orange. Die Blindenschrift Als Blindenschrift bezeichnet man die Schrift, die von den Blinden gelesen werde kann. Das Lesen erfolgt dabei mit dem Tastsinn der Finger. Die heute am weitesten verbreitete Blindenschrift ist die Brailleschrift. Sie wurde Louis Braille erfunden, der 1809 in

f) \( y=\log _{8}(x)-2 \)