Answer: 1: 3x(x+2)(x-2) 2: (x+3) square - (x-2) squaRe
Answer:
dy/dx = 2x+1/x(x+1)
Step-by-step explanation:
y = In x(x+1)
Let u = x(x+1) = x^2 + x
du/dx = 2x + 1
y = In u
dy/du = 1/u
dy/dx = dy/du × du/dx = 1/u × 2x+1 = 2x+1/u = 2x+1/x(x+1)
Newton's cooling model is ΔT = ΔTo * e ^ (-k t)
ΔTo = 200°F - 70°F = 130°F
k = 0.6
t = 2 hours
=> ΔT = 130 * e ^ (-0.6 t) = 130 * e^ (-0.6 * 2) = 130 * e ^ (-1.2)
ΔT = 39.15°F
ΔT = T - Tenvironment => T = ΔT + Tenvironment = 39.15°F + 70°F = 109.15°F ≈ 109 °F.
Answer: T = 109 °F
Answer:
About 38
Step-by-step explanation:
The x which achieve these statement is x=0.