Find an equation (in polar coordinates) of the line tangent to the cycloid x = t - sin t, y = 1 - cos t at the points corresponding to t = pi/6 and t = 2pi/3.

Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

A:

Q: eliminating the parameter t from the parametric equation x = 3 cost y = 3 sin t, find the…

A: First we square both given equation and then adding both and solve it.

Q: Use the parametric equations x= sec(t) , y=tan(t), for -pi/2 < t < pi/2. Sketch the curve…

A:

Q: Find the equation in polar coordinates of the line through the origin with slope 1/2.

A: Given: Polar coordinates of the line through the origin with slope 1/2.

Q: determine the slope of the tangent line to the polar curve r = 1+3 cos(20) at 0 6

A:

Q: ecified by the val COS 3

A: The slope of a polar curve r=fθ is given as follows. dydx=dydθdxdθ=fθ cosθ+f'θ sinθ-fθ sinθ+f'θ cosθ…

Q: Eliminate the parameter in the parametric equations x = 7+ sint, y = 2+ sint, for 0sts, and describe…

A:

Q: Consider the polar curve r = 0 + sin(0). Rewrite the polar curve as a parametric curve, i.e., find…

A:

Q: Given the polar function r = f(theta) = 4sin(2*theta) Find the average rate of change of "f" between…

A: Step 1: Step 2: Step 3: Step 4:

Q: For a &gt; 0, a lemniscate curve is the set of points P such that the product of the distances from…

A:

Q: 1 T/4 r2 I "| p° sin(26) d0 dộ dp.

A:

Q: 2.Make a sketch of the following polar equation: r = 2 +4 sin 0 (r, 0). Determine also the tangent…

A:

Q: Sketch the curve r= cos 2θ

A: Symmetric test for polar coordinates r=f(θ): If f(θ)=f(-θ) then graph is symmetric about polar…