Tuesday

July 29, 2014

July 29, 2014

Posted by **mary** on Thursday, April 26, 2007 at 4:33pm.

In polar coordinates? Theta=90 deg is vertical.

I do not know if you know how to differentiate polar coordinate equations so I changed your equation from polar to rectangular form, I don't know if that is the way you do it.

anyway I got x^2 + y^2 = 4y which is the equation of a circle.

I differentiated that

2x + 2y(dy/dt) = 4dy/dt

.

.

dy/dt = -x/(y-2)

for the tangent to be a vertical line, its slope must be undefined.

This happens when the denominator is 0

so y-2=0

y=2

then substitute that in the equation for x=2

so in Cartesian form the point is (2,2), making an angle of 45º or pi/4 radians.

in polar form (r,theta) it would be (√8,pi/4)

**Related Questions**

calculus - For what values of theta, on the polar curve r=theta, 0<=theta<...

calculus - For what values of theta, on the polar curve r=theta, 0<=theta<...

Math (Calculus) - Given any Cartesian coordinates, (x,y), there are polar ...

Pre-calculus; urgent ! Please help ! - 1.Graph the polar equation r=3-2sin(theta...

Calculus please help ! - 1.Graph the polar equation r=3-2sin(theta) 2. Find the ...

Calculus - Convert the polar equation to rectangular coordinates: r = 2-cos ...

Math ! Please Help ! - 1.Graph the polar equation r=3-2sin(theta) 2. Find the ...

Maths - Polar Coordinate Systems - I've recieved an assignment to investigate ...

Maths - In polar coordinates, the parametric equations x=6+cos(f) and y=sin(f) ...

Algebra - In polar coordinates, the parametric equations x=5+cos(t) and y=sin(t...