helllllllp math
Clearly 10^n = n^10 when n=10 Since exponentials grow faster than polynomials for large enough n, It looks like 10^n <= n^10 for n=2..10, or 9 values
Physical Education
rate (m^3/s) = speed (m/s) * area (m^2) = 0.35 * 2.0*10^-4 = 0.70 * 10^-4 = 7.0 * 10^-5 = .0000070 m^3/s 7.0*10^-5 = v * .28 v = 25 * 10^-5 = 2.5 * 10^-4 m/s
math
assuming you meant f(x) = e^(2x^6) + (lnx)^2 f'(x) = 12x^5 e^(2x^6) + 2lnx/x f"(x) = 60x^4 e^(2x^6) + (12x^5)^2 e^(2x^6) + 2/x^2 - 2lnx/x^2 = 12x^4 (12x^6 + 5) e^(2x^6) - 2lnx/x^2 f"'(x) = (48x^3 (12x^6+5) + 12x^4 (72x^5)) e^(2x^6) - 4/x^3 - 2/x^3 + 4lnx/x^3 ...
math
150*1/2 + 100*1/4 + 50*3/4 = 276" She needs 9+ shelves, or 5 bookcases
Trig
4x+y = 84, so y = 84-4x v = x^2 y = x^2(84-4x) = 84x^2 - 4x^3 dv/dx = 168x - 12x^2 = 12x(14-x) dv/dx=0 when x=14 so the box is 14 x 14 x 28
geometry
since y=1/2 x+10 has slope 1/2, you want a line with slope -2. Now you have a point and a slope, so y-3 = -2(x-0) y = -2x+3
Precalc
I assume these are arithmetic sequences, so a) Tn = a+(n-1)d so a+7d = 8 a+19d = 44 12d = 36, so d=3 a = -13 or, you can do it like this. T20-T8 = 12d = 44-8 = 36, so d=3 similarly, for b) 10d = -100 d = -10 a = 74
Math (Calculus) (Implicit Differentiation)
(x^2+y^2)^4=16x^2y^2 (x^2+y^2)^3 (x+yy') = 4xy^2 + 4x^2yy' x(x^2+y^2)^3 + y(x^2+y^2)^3 y' = 4xy^2 + 4x^2yy' (y(x^2+y^2)^3 - 4x^2y)y' = 4xy^2 - x(x^2+y^2)^3 y' = (4xy^2 - x(x^2+y^2)^3)/(y(x^2+y^2)^3 - 4x^2y) at (1,-1) y' = (4-8)/(-8+4) = 1 So, now yo...
Calculus
∫10 - 2x^2 dx = ∫10 dx - 2∫x^2 dx ...
Grade 12 Calculus
we know that cos π/6 = √3/2 and cos(π±x) = -cos(x) cos(2π±x) = cos(x)
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