Matthew unpocked 43 boxes of lightbulbs for the discount warehouse. Each bor contained 6 bulbs. How many bulbs were in all 43 boxes?

Solve: \( \log _{3}(a)=-4 \) \( a= \)

Raise each factor within parentheses to the third power. \[ \left(\frac{1}{y}\right)^{3}=\frac{1}{\square} \]

(a) Rewrite \( 4^{4}=256 \) as a logarithmic equation: (b) Rewrite \( \log 0.0001=-4 \) as an exponential equation:

b) \( \int\left(\frac{9 x^{4}}{6}-\frac{3 x^{3}}{7}+\frac{7 x^{2}}{5}-\frac{8 x}{9}+\frac{5}{8}\right) d x \)

A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 4 feet per second. Find the rate at which the area is changing at the instant the radius is 13 feet. When the radius is 13 feet, the area is changing at approximately \( \square \) square feet per second. (Round to the nearest thousandth as needed.)