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A1) Showing that (x+2) is a factor of f(x).         General Method:  If A is a number, then (x- A) is a factor of f(x) if when x=A,  f(x=A)=0    <-- This is what we want to show                        ...

We are presented with a third order polynomial with 4 terms, so we expect 3 solutions for f(x)=0. To prove that (x-2) is a factor we must insert the value of x=2 into the function and if f(2)=0 then we ha...

L = (H²+R²)^1/2 V = (1/3)πR²(H²+R²)^1/2

dV/dt = -k

dH/dt = dH/dV × dv/dt

dV/dH = (1/3)πR²H(H^...

∫ln(x)dx = xln(x) - ∫x/x dx = xln(x) - x + C

Multiply the first equation by 2, and the second by 3:

6x+10y=14

6x-9y=33

Subtract the second from the first:

19y=-19

solve for y:

y=-1

plug in to first eq...