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7. A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min. At what rate is
7. A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min. At what rate is the volume of the snowball decreasing when the radius is 12 cm. Give the answer in cubic centimeters per minute. The volume of a sphere of radius r is V = = my. 8. A police car is located 70 feet to the side of a straight road. A red Tesla is driving along the road in the direction of the police car and is 90 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red Tesla is decreasing at a rate of 75 feet per second. How fast is the red Tesla actually traveling along the road? Give the answer in feet per second. 9. 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 10.5 centimeters and the area is 88 square centimeters? Give the answer in cm/min. 10. If f (x) = (7x - 3)4(4x2 + 8)', find f'(x) using logarithmic differentiation. You must use logarithmic differentiation to earn points
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