Questions tagged 'curve'
2 questions
the line that is normal to the curve x^2 + 2xy – 3y^2 = 0 at (1,1) intersects the curve at what other point?
I found the derivative of the curve to be: dy/dx = -(2x + 2y) / (2x - 6y). Then, I calculated the slope at the point (1, 1) and found it to be 1. This makes the slope of the normal line -1. Using this...
What is the arc length of sqrt(2-x^2) – Calc II question?
To find the arc length ( L ) of the curve defined by ( y = \sqrt{2 - x^2} ) for the interval ( 0 \leq x \leq 1 ), please use the arc length formula. Additionally, you may verify your answer by recogni...