Problem #1 A piece of land is shaped like a right triangle. Two people start at the right angle of the triangle at the same time and walk at the same speed along different legs of the triangle. If the...

Extracted text: Problem #1 A piece of land is shaped like a right triangle. Two people start at the right angle of the triangle at the same time and walk at the same speed along different legs of the triangle. If the area formed by the positions of the two people and their starting point (the right angle) is changing at 5 m2/s, then how fast are the people moving when they are 3 m from the right angle? (Round your answer to two decimal places.) Problem #2 One airplane is approaching an airport from the north at 199 km/hr. A second airplane approaches from the east at 162 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 26 km away from the airport and the westbound plane is 15 km from the airport. Problem #3 Find intervals on which f (x) = -3x2 + 54 ln x is increasing and decreasing Problem # 4 = x V25 – x2 from [-5, 5] by doing Perform a first derivative test on the function f(x) the following: Locate critical points of the given function, use the first derivative test to locate the local max and min, and identify the absolute max/mins by testing end points. |