Problem #1A piece of land is shaped like a right triangle. Two people start at the right angle of thetriangle 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 rightangle) is changing at 5 m2/s, then how fast are the people moving when they are 3 mfrom the right angle? (Round your answer to two decimal places.)Problem #2One airplane is approaching an airport from the north at 199 km/hr. A second airplaneapproaches from the east at 162 km/hr. Find the rate at which the distance between theplanes changes when the southbound plane is 26 km away from the airport and thewestbound plane is 15 km from the airport.Problem #3Find intervals on which f (x) = -3x2 + 54 ln x is increasing and decreasingProblem # 4= x V25 – x2 from [-5, 5] by doingPerform a first derivative test on the function f(x)the following: Locate critical points of the given function, use the first derivative test tolocate the local max and min, and identify the absolute max/mins by testing end points.|

According to the guideline, solved the first question. Kindly post other questions individually.…

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 #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.)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter21: Direct And Inverse Proportions

Section: Chapter Questions

Problem 16A: Figure 219 shows a compound gear train. Gears B and C are keyed to the same shaft; therefore, they...

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