Wir sind auf einer Reise. wir reisen, not Reisen Aside from the awkward present tense, it looks ok. Hang in there.
E=IR 100 = .5R R = 200Ω
(rcisθ)^n = r^n cis(nθ) cuberoot = 1/3 power, so ∛8(cos(4π/5)+isin(4π/5)) = ∛8 cis((4π/5)/3) = 2cis(4π/15) Now, since cisθ = cis(θ+2nπ) cis 4π/5 = cis 14π/5 = cis 24π/5 (2cis 4π/15)^3 = 8cis 4π/5...
portion = base * rate = 900*.1275 = 114.75 you are correct. 12.75% = .1275 as a decimal number
f(x) = x^3 - 6x^2 + 9x - 1 f'(x) = 3x^2 - 12x + 9 = 3(x-1)(x-3) f(1) = 3 a max f(3) = -1 a min On the interval [0,2] f(1) will be the max
usually ^ is used for exponents, * for products. Assuming you meant f(x)=x^3 - 9x^2 + 15x + 2 f(x) has max.min where f'(x) = 0 f'(x) = 3x^2 - 18x + 15 = 3(x-1)(x-5) so, f'(x)=0 when x=1,5 f(1) = 9 a max f(5) = -23 a min
remember L'Hospital's Rule: lim f(x)/g(x) = lim f'(x)/g'(x) when you are dealing with 0/0 or ∞/∞
Lim (10x - cosx + 1)/(sinx + x) = Lim (10 + sinx)/(cosx + 1) = 10/2 = 5
you probably know that 3% = 0.03 well, that means that 3 3/4% = 3.75% = 0.0375
r^2 = 1^2+3 = 4 r=2 tanθ = y/x = √3 x and y are positive, so we're in QI θ = π/3 1+√3 i = (2,π/3)
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