ДОСРОЧНЫЙ ЕГЭ
2015
ПРОФИЛЬ
01
23.III.2015
250 m / 36 s
plot (4,1.5,0.25,1.5,4,0,3,1.5,1.7,0.5,1,0,0.5,0.75,0,0,0.5)
minimize (700*.3,160+.2*(700-420),255)
triangle (0,0),(4,0),(4,3)
probability of the union of two events
solve 36^(x-5) = 1/6 over the reals
polygon (0,0),(0,7),(8-2sqrt2,7),(8+2sqrt2,0) and circle with radius 7/2 and center (7/2,7/2)
diff calculator
4 pyramid with base edge length sqrt42, height 2
(5*5^(1/15)*(5^(1/10)))/(5^(1/6))
P=(7/4)*2^(15960/(30*133*2))
triangular prism with edge 2,height 2 and triangular prism with edge 1,height 2
solve (24*x+67*y)/(x+y+10) = 41, (24*x+67*y+10*50)/(x+y+10) = 45
maximize -30*sinx+33*x+29 for x=-Pi/2..0
diff -30*sinx+33*x+29
(diff -30*sinx+33*x+29)>0
sin(2*x)+sqrt(2)*sin(x) = 2*cos(x)+sqrt(2), x >= Pi, x <= 5*Pi*(1/2)
sin(2x)+sqrt2*sinx = 2cosx+sqrt2
VectorAngle[{1,3,4},{0,1,0}]
vector (1,3,4) and vector (0,1,0)
plane through (4,4,3), (0,4,4), and (4,8/3,4), plane through (4,4,4), (4,4,0), and (0,4,0)
log(5,-x^2+25)^2-3*log(5,-x^2+25)+2 >= 0
circle through [0, 0], [1, 3.73], [2.36, 2.36] and polygon [[0, 0], [1, 3.73], [2, 3.73], [3, 0], [0, 0]]
maximize 3*sqrt(10000-y)+4*sqrt(y)
xxx
{(-x*y+y^2+3*x-y-6)*sqrt(x+2)/sqrt(6-x) = 0, x+y-a = 0}
