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Cliff left point A at 8 A.M. walking east at 3 kph. Renz left point A at 9 A.M. walking north at 4 kph.
(a) Express the distance between Cliff and Renz as a function of the elapsed time 𝑡 since 8 A.M.
(b) Express the distance between Cliff and Renz as a function of the elapsed time 𝑡 since 9 A.M.
(c) How far apart are Cliff and Renz at 12:00 noon on the same day?
(d) At what time are they 20 km apart?
General Application of Derivatives. Draw the necessary figure and indicate the dimension given.
- A triangular corner lot has perpendicular sides of lengths 120 m and 160 m. Find the area of the largest rectangular building that can be constructed on a lot with sides parallel to the streets.
General Application of Derivatives. Draw the necessary figure and indicate the dimension given.
- A conical glass whose base radius is 5m and altitude 12m is being filled at the rate of. How fast is the surface rising when the liquid is 6m deep?
General Application of Derivatives. Draw the necessary figure and indicate the dimension given.
- If the radius of the circle increases at the rate of 0.01 cm per second, find the rate of change of the area when the radius is 3 cm long.
along a horizontal surface at a constant velocity is given by
(a) Continuous on all points except at
At what point(s) on the circle x 2 + y 2 = 13 is its tangent line parallel to the line 3x − 2y = 6.
