Thursday
May 23, 2013

Posts by Steve


Total # Posts: 14236

Physics
x = 4 cos -122 y = 4 sin -122

Trigonometry
x = (9±√41)/2 arctan(x) = 82.6° or 52.4° Don't know how to evaluate the arctan directly; it appears not to be any familiar angle

Math (Algebra)
complex roots always come in conjugate pairs. So, f(x) = (x-(4-i))(x-(4+i))(x-(2+3i))(x-(2-3i)) = ((x-4)^2 + 1^2)((x-2)^2 + 3^2) = (x^2-8x+17)(x^2-4x+13) = x^4 - 12x^3 + 62x^2 - 172x + 221 ...

Math (Algebra)
x^2-2x+m = (x-9)(x-n) so, -2 = -(n+9) m = 9n n = -7 m = -63 m+n = -70

Math (Algebra)
f(x) = ax^3 + bx^2 + cx a+b+c = 4 8a+4b+2c = 4 27a+9b+3c = 4 f(x) = 2x/3 (x^2 - 6x + 11) f(7) = 84

calculus
The curves intersect at (-4,4) and (1,1/4) So, just integrate to find a = ∫[-4,1] (4-3x)/4 - x^2/4 dx a = 125/24

MATHS - URGENT
8(sin2x - cos2x) 8(sin2x - (1-2sin^2(x)) 8(sin2x + 2sin^2(x) - 1)

Math
n = .8m n-12 = .5(m+12) (m,n) = (60,48) Nora had 48 Maria had 60 Later, Nora had 36 and Maria had 72

function table
y=6x+2, so 20

MAThs
If they meet at (x,0) then the distance is x+|x-17|+|x-40|+|x-85|+|x-173|+|x-440| It is clear that for 40<=x<=85, the distance is constant. As x increases in that interval, the three leftmost terms all increase by 1, and the three rightmost terms all decrease by 1. Outsi...

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