Recent content by elote

if the cos(theta) = 1/2, then (theta) = pi/3, or 5pi/3, on the interval [0, 2pi], since it is given that tan(theta) = sin(theta)/cos(theta) < 0, sin(theta)/(1/2) = 2sin(theta) < 0 or sin(theta) < 0, therefore (theta) has to be (5pi/3) now, csc(theta) = 1/sin(theta) = 1/(-3/(2sqrt[3]) =...

"The symbol \int_{a}^{b} f(x)dx reminds us that an integral is a limit of sums (the integral sign is an old-fashioned S) of terms of the form f(x) times a small difference of x ." -Hughes Hallett. calculus, single variable so the integral sign...

in other words, K.E. = \frac{1}{2} mv^2

try using K_rotatational also k_rot = (1/2)IW^2 --> I is inertia, W is omega (angular speed)

ln(3^x)=ln(9^y-1) using the properties of logarithms we get: xln(3) = (y-1)ln(9) solve for x in terms of y x = (y-1)ln(9)/ln(3) I'm sure you can do the rest...

let W = (4x^2-9), solve for W using some method, and then replace W with (4x^2-9), and now solve for x :)