Which of the following is not a valid differentiation rule, a. \( \frac{d}{d x}(c)=0, c \) is a constant. b. \( \frac{d}{d x}\left(\frac{f}{g}\right)=\frac{f^{\prime} g-f g^{\prime}}{g^{2}}, g \neq 0 \). (asc None of these options. od. \( \frac{d}{d x}(f \pm g)=f^{\prime} \mp g^{\prime} \). e. \( \frac{d}{d x}(f g)=f^{\prime} g+f g^{\prime} \).

Iestion the ratio of circles to triangles in the diagram below.

37. When Violet was born she weighed \( 5 \frac{1}{5} \) pounds. At 5 months old she weighed 16.3 pounds. How much weight did she gain between birth and 5 months old?

Solve the absolute value equation or indicate that the equation has no solution. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \{\} . \( \} \). Bse integers or fractions for any numbers in the expression. Use a comma to separate answers set is the empty set.

33-36 Evaluate \( \int_{C} F \cdot d r \) along the curve \( C \). 33 \( F(x, y)=x^{2} i+x y j \) \( C: r(t)=2 \cos t i+2 \sin t j \quad(0 \leq t \leq \pi) \)

Write the domain in interval notation. (a) \( a(x)=\sqrt{x+16} \) (b) \( b(x)=\sqrt{16-x} \) (c) \( c(x)=\frac{1}{\sqrt{x+16}} \) Part 1 of 3