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Rewrite as a^b = 1, where a = x^2+4x+3 and b = x^2-6x+8List the cases for which a^b = 1Case 1: a = 1:So x^2+4x+3=1 => x^2+4x+2=0 => x=-2 +/- sqrt(2)Case 2: b=0, a ≠ 0:b=(x-4)(x-2) => x = 2, x=4Ch...

f(x) = ( e^x for x<0, e^(-x) + 2x for x>= 0)f'(x) = ( e^x for x<0, -e^(-x) + 2 for x>= 0)f''(x) = ( e^x for x<0, e^(-x) for x>= 0)f'''(x) = ( e^x for x<0, -e^(-x) for x>= 0)(Will s...

A diagram showing the moon directly between the earth and the sun is key here. If we call the radii of the sun and the moon r_s and r_m and the distances from earth D_s and...

There are four keys to answering this problem - when taken together, they turn a seemingly difficult calculation into a trivial one-line answer. The first is knowing Coulomb's inverse square law for the f...

A parachutist jumps out of a plane at height h. She is subject to air resis- tance with a force of −αv2. The equation of her motion is given bymdv/dt =mg−αv^2 What are the units of α?Calculate the termina...