T(n) = 2/3 x 3n T(15) = 2/3 x 315
16r^2
The answers to punchline 9.5 1.) x>4 1/3 2.) x is less than or equal to -2 3.) x is less than or equal to -2 1/2 4.) x> 13 5.) x< -4 6.) x is greater than or equal to 58 7.) x is greater than or equal to 5 8.) t > -6 1/5 9.) t is less than or equal to 25 10.) t > -1 3/4 11.) t < 5 12.) t is greater than or equal to -1 13.) t < 4 1/2 14.) t is less than or equal to 0 15.) 319 the answer to the question at the top is: the girl and the guy who met in a revolvin door and started going around enjoy:)
X/2+25
7x + 3 t +jjakw
2 x t + 35 x t 2t + 35t 37t
x2 is the same as x times x. In this case x = t+2 so we can say (t+2)2 is (t+2)(t+2) or t2+4t+4
2 x b x t x a x c to the power 2
1321 1321 1321
2 x 3 x 5 x t x t = 30t2
it became 3t^2
Set x = r*sin(t) and y = r*cos(t) then r = sqrt(x^2 + y^2) and t = arctan(y/x) if x not 0, t = pi/2 if x = 0.
There are 16 possible outcomes, each of which is equally likely. So each has a probability of 1/16 HHHH: X = H*T = 4*0 = 0 HHHT: X = H*T = 3*1 = 3 HHTH: X = H*T = 3*1 = 3 HTHH: X = H*T = 3*1 = 3 THHH: X = H*T = 3*1 = 3 HHTT: X = H*T = 2*2 = 4 HTHT: X = H*T = 2*2 = 4 HTTH: X = H*T = 2*2 = 4 THHT: X = H*T = 2*2 = 4 THTH: X = H*T = 2*2 = 4 TTHH: X = H*T = 2*2 = 4 HTTT: X = H*T = 1*3 = 3 THTT: X = H*T = 1*3 = 3 TTHT: X = H*T = 1*3 = 3 TTTH: X = H*T = 1*3 = 3 TTTT: X = H*T = 0*4 = 0 So, the probability distribution function of X is f(X = 0) = 1/16 f(X = 1) = 4/16 = 1/4 f(X = 2) = 6/16 = 3/8 f(X = 3) = 4/16 = 1/4 f(X = 4 = 1/16 and f(X = x) = 0 for all other x
x = -2t + 2 = -2(t - 1) y = t - 1 So x = -2*y or y = -x/2 Also, t = 0 gives x = 2 and t = 4 gives x = -6 so 0 < t < 4 is equivalent to -6 < x < 2. The answer, therefore is, y = -x/2 for -6 < x < 2 Note: The t-domain is not well defined since the browser does not show any of the inequalities. I have assumed they are all strict inequalities but if they are not, the corresponding inequalities should be used to define the x-domain. However, it is important to remember that the first inequality in t-domain is the second inequality for the x-domain.
f(t) = t^2 + t F(t) = (1/3)t^3 + (1/2)t^2 ---- g(x) = 2sin(2x) G(x) = -cos(2x) ---- h(x) = 5x H(x) = (5/2)x^2 ---- p(x) = cos(x) + cos(2x) P(x) = sin(x) + (1/2)sin(2x) ---- q(x) = e^x Q(x) = e^x
2 x 2 x 5 x s x t
2 * 3 * 1321 = 7926