Find the length of the curve over the given interval.polar equationr = 10a cos(𝜃)interval

Find the arc length of the curve on the interval [0, 2𝜋]. (Use theta for 𝜃 as necessary.)circle circumference: x = a cos(𝜃), y = a sin(𝜃)

Find the length of the curve given by the following parametrization:𝑥 = 8 cos 𝑡 + 8𝑡 sin 𝑡 , 𝑦 = 8 sin 𝑡 − 8𝑡 cos 𝑡 , 0 ≤ 𝑡 ≤

Find the points of horizontal tangency to the polar curve.r = a sin(𝜃)      0 ≤ 𝜃 < 𝜋, a > 0

The polar function r = f(q ) , where f(q ) = 1 + 2 cos q , is graphed in the polar coordinate system for0 On which of the following intervals of q is the distance between the point with polarcoordinates ( f (q ),q ) and the origin decreasing?

Rewrite the following polar equation in rectangular form. r=−10sinθ