(q3) find the values of e, a, b, and c for r = 21/ 5 - 2 cos theta

Choice C

e = 2/5

a = 5

c = 2

Step-by-step explanation:

The first step is to write the polar equation in standard form by dividing the numerator and denominator by 5;

The eccentricity is the coefficient of cos theta, thus

e = 2/5

By definition;

e = c/a

Thus;

c = 2

a = 5

Finally;

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: