please answer both parts correctly. thank u 1. a.

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please answer both parts correctly. thank u
1.
a.

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For which value(s) of x does f(x)=38​x3−4x2+20x+8 have a tangent line of slope 11? Select all correct answers. Select all that apply: x=8 x=3 x=−3 There are no values with a tangent line of slope 11 .
A cylindrical can has a height of 19 cm and a radius of 4 cm. The volume of the cylindrical can is decreasing at a rate of 566 cubic cm per second, with the height being held constant. What is the rate of change of the radius, in cm per second, when the radius is 4 cm ? Round your answer to the nearest hundredth. Remember that the volume of a cylinder is V=πr2h. Provide your answer below: centimeters per second