1) The Radiusp of a circle is Increasing At A Rate 6+1cm PER Minute. Find the...
The radius r of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of change of the area when r = 30 centimeters.The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change of the volume when r = 12 inches.(b) Find the rate of change of the volume when r = 30 inches.
The radius r of a circle is increasing at a rate of 3 centimeters per minute. Find the rate of change of the area when r = 39 centimeters.
The radius r of a sphere is increasing at a rate of 3 inches per minute. (a) Find the rate of change of the volume when r = 9 inches. (b) Find the rate of change of the volume when r = 36 inches.
The radius of a sphere is increasing at a rate of 7.5 meters per minute. What is the rate of change of the surface area of the sphere when the radius is 5 m (in square meters per minute)? Note that the surface area, S, of a sphere of radius ris S = 4xr? 330x m/min 100x mº/min 225x m/min 300x m/min 75x m/min
The height of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 2.5 square centimeters per minute. At what rate is the base of the triangle changing when the height is 11 centimeters and the area is 92 square centimeters? Remember that you're using the formula for the area of a triangle: Area -bh (You'll need to know this formula in the normal homework assignments, quizzes and...
3. Suppose a forestfire spreads in a circle with radius changing at the rate of r(t)=0.2e10 feet per minute, the variable t indicates the number of minutes since the fire started. At what rate is the area of the burning region increasing six hours after the fire started? Round your to nearest hundredth f(x)= of the burning region is increasing at a rate of ain units are clearly stated with your answer.) six hours after the fire started. 3. Suppose...
The area of a circle is increasing at a rate of 87 square meters per hour. At a certain instant, the area is 367 square meters. What is the rate of change of the circumference of the circle at that instant (in meters per hour)? Choose 1 answer: ® 4v2 © 127 E10
The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the triangle is increasing at a rate of 2 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 8.5 centimeters and the area is 94 square centimeters? Preview cm/min
The radius of a right circular cone is increasing at a rate of 10 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What are the rates of change of the volume and the radius is 15 inches and the height is 45 inches? rate of change of the volume 13194.69 in3/min rate of change of the surface area 2402.85| in2/min
7. A particle moves in the anticlockwise direction along a circle with a radius of 13 cm at the constant rate of 10 revolutions per minute (a) Find the rate of change of the particle's coordinates (x, y) with time at the moment when r = 12 cin and y = 5cm. Hint: express both r and y via angle of revolution, θ. (b) Challenge: Find the rate of change of the distance D between the particle and the point...