11.(a)(b)12.(b)Note: Scales are different on the three figures.
The sides of a watering trough are made by folding a sheet of metal 24
inches wide and 5 feet (60 inches) long at an angle of 60°, as shown in
the figure above. Ends are added, and then the trough is filled with water.
If water pours into the trough at the rate of 600 cubic inches per
minute, how fast is the water level rising when the water is 4 inches
deep?
Suppose, instead, the sheet of metal is folded twice, keeping the
sides of equal height and inclined at an angle of 60°, as shown.
Where should the folds be in order to maximize the volume of the
trough? Justify your answer.BC ONLY QUESTIONS 12–18
(a) Using your calculator, verify thatUse the Taylor polynomial of degree 7 about 0,
tan−^1 x ≈ x − x^3 / 3 + x^5 / 5 − x^7 / 7,