3. A cylinder has a volume of 2071' cubic units. Its radius is between 3 and 4 units long. Use the Intermediate Value Theorem (IVT) to show that. it. is possible for the said cylinder to have a height that is exactly 2 units shorter than its radius. (Hint: A cylinder with radius 7' and height h has volume WTZh.) (5 points) 2. Evaluate each limit if it exists. Otherwise, justify why it does not exist. sin x - 4x - 5] (a) lim x-> too 2.x + 5 (b) lim coth log1 tan x)