x2+y2=2y into polar coordinates
When converting Cartesian coordinates to polar coordinates, three standard converstion factors must be memorized:
r2=x2+y2
r*cos(theta)=x
r*sin(theta)=y
From these conversions, you can easily get the above Cartesian equation into polar coordinates:
r2=2rsin(theta), which reduces down (by dividing out 1 r on both sides) to:
r=2sin(theta)
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The y-intercept (or y-intercepts) of an equation is where x = 0. Replace x with zero in the equation, and solve for y.The answer depends on what information you are given - and in what form. If the equation of the curve is given in polar coordinates or in parametric form, the process is quite different to that required when given the Cartesian equation.
The simplest formula, in polar coordinates, is r = 7.
The general rule for resistances in parallel (to find out the equivalent resistance) is: 1/R = 1/R1 + 1/R2 + 1/R3 + ... The same rule can be used for impedances (just replace resistance by impedance). So, you just have to divide 1 by each of the impedances, add the results together, then take the reciprocal. Note that addition and subtraction with complex numbers is easier if the numbers are in rectangular coordinates, whereas multiplication and division is easier if they are in polar coordinates. Also note that most scientific calculators have the capacity to convert between polar and rectangular coordinates. Check your calculator manual for details.