Homework: Homework: Section 3.11 (Related Rates) Question 5, 3.11.26 HW Score: 1.19%, 0.5 of 42 points (Copy) Part 1 of 5 Points: 0 of 3 Sa A bug is moving along the right side of the parabola y = x" at a rate such that its distance from the origin is increasing at 2 cm / min. a. At what rate is the x-coordinate of the bug increasing when the bug is at the point (4, 16)? dy b. Use the equation y = x to find an equation relating to - dx c. At what rate is the y-coordinate of the bug increasing when the bug is at the point (4, 16)? a. Let D = \\x + y be the distance the bug is from the origin. Considering the bug is moving along y =x", rewrite D in terms of only x. D =0The legs of an isosceles right triangle increase in length at a rate of 2 m / s. a. At what rate is the area of the triangle changing when the legs are 1 m long? b. At what rate is the area of the triangle changing when the hypotenuse is 5 m long? c. At what rate is the length of the hypotenuse changing? . . . a. When the legs are 1 m long, the area of the triangle is changing at a rate of (Type an exact answer, using radicals as needed.)An airliner passes over an airport at noon traveling 530 mi / hr due east. At 1:00 p.m., another airliner passes over the same airport at the same elevation traveling due south at 560 mi / hr. Assuming both airliners maintain their (equal) elevations, how fast is the distance between them changing at 2:00 p.m.? The equation relating the horizontal distance between the first airliner and the airport, a, the horizontal distance between the second airliner and the airport, b, and the horizontal distance between the two airliners, cis a +b= c". Differentiate both sides of the equation with respect to t. (Do not simplify.)The sides of a square increase in length at a rate of 5 m/sec. a. At what rate is the area of the square changing when the sides are 17 m long? b. At what rate is the area of the square changing when the sides are 26 m long? a. Write an equation relating the area of a square, A, and the side length of the square, s.ft A spherical balloon is inflating with helium at a rate of 320x min How fast is the balloon's radius increasing at the instant the radius is 4 ft? Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using x as needed.)