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Need help with problems 1-5 on comparing related rates. Answers only is fine if you would like. I'll give helpful rating if most answers are

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Need help with problems 1-5 on comparing related rates. Answers only is fine if you would like. I'll give helpful rating if most answers are correct :)

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Select the correct answer. Two boys begin running from point C. One moves north while the other moves west. When the rst boy is four miles north, he is running at 12 miles per hour. Simultaneously, the second boy is 2.5 miles west of C and is running at 8 miles per hour. Find the rate at which the two boys are separating at that instant. O A. 4.26 mph 0 B. 832 mph 0 c. 10.21 mph 0 D. 14.42 mph 2 Select the correct answer. The pressure (P) exerted on an object in the ocean at a depth (d) of 100 meters is 11 atmospheres (atm). If the object is descending in water at a rate of 2 meters per second, what is the rate of change of pressure? P = kd + 1, where k is a constant. O A. 0.2 atm/s O B. 0.9 atm/s O C. 2 atm/s OD. 3 atm/s3 Select the correct answer. A forest fire spreads in a circular pattern with the radius changing at the rate of 50 miles per hour. At what rate is the fire spreading when the diameter of the fire is 310 miles? OA. 48.694 m2/h OB. 155 m2/h O C. 15,500 m2/h OD. 48,694.69 m2/hSelect the correct answer. 7 inches 0.03 rad/s 9 inches The angle between two sides of a triangle is increasing at the rate of 0.03 radians per second. One side of the triangle measures 9 inches, and the other is 7 inches. At what rate is the area of the triangle changing when the angle between the sides is pi/3' ? `A = 1/2 ab sin theta O A. -47.25 in. 2/s O B. -0.4725 in. 2/s O C. 0.4725 in. 2/s O D. 47.25 in. 2/s5 Select the correct answer. A 9 by 4 centimeter rectangle expands in such a way that the 9-centimeter side is expanding at the rate of 5 centimeters per second and the proportions of the rectangle remain constant. At what rate is the area of the rectangle increasing when its dimensions are 36 by 16 centimeters? OA. 120 cm2/s OB. 140 cm2/s O C. 160 cm2/s OD. 180 cm2/s

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