A polar curve is defined by r=θk 2θ2 1, where k is a positive constant. For what value of k, if any, is the instantaneous rate of change of r with respect to θ at θ=π equal to 15 ?

Respuesta :

Given the polar curve described above, the value of k which is the instantaneous rate of change of r with respect to θ at θ = π equal to 15 is: 1.451 (Option B).

What is a Polar Curve?

A polar curve is a shape that is designed using the polar coordinate system.

They are defined by points that stand at a variable distance from the pole, subject to the angle measured off the positive section of the x-axis.

Hence, given the polar curve described above, the value of k which is the instantaneous rate of change of r with respect to θ at θ = π equal to 15 is: (Option B) - 1.451

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