I have to find the values of theta at which there are horizontal tangent lines on the graph of r = 1 + sin theta.
Also, for another question I need to calculate the area inside the cardioid r = 1 + cos theta.
For this one I know that A = 1/2 (integral from alpha-beta of r^2 d theta) but I get stuck when I try to work it out.
Who can help me solve these?
2006-12-11 12:17:48 · 2 answers · asked by dutchess 2 in Science & Mathematics ➔ Mathematics
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2006-12-11 12:28:43 · answer #1 · answered by lori b 2 · 0⤊ 0⤋
you want the slope which will come from y'. y' = cos(sqrt(theta) (a million/ (2 sqrt(theta))) at theta=4 PI^2, m=y'= a million/(4PI) and y= 0 so y-0= (a million/4PI)(theta- 4 PI^2) is the equation
2016-11-25 21:42:43 · answer #2 · answered by Anonymous · 0⤊ 0⤋