3. Write as the sum, difference and multiple of logarithms: (xx2 +1 In x > 3...
logarithms, Express powers as factors. Write the expression as a sum and/or difference 5x V1 + 3x X-6312 -> 6 5x v 1 + 3x = (Simplify your answer.) (x-6,12 Enter your answer in the answer box. 2
Write the expression as a sum and/or difference of logarithms. Express powers as factors. 1/3 In [x²-x-12 (x + 2)2 ,X>4 In 71/3 (x²-x-12 (x + 2)2 (Simplify your answer. Type an exact answer. Use integers or fractions for any numbers in the expression.)
Write the expression as a sum and/or difference of logarithms. Express powers as factors. In (x13 86-x),0 <x< 6 In (x43 v6-x) = (Simplify your answer.) +
just want to make sure this is correct Write the expression as a sum and/or difference of logarithms. Express powers In (x12 15-x).0 <x<5 In (x+2 V5-x) = 24 In x + In (5-x) 2 (Simplify your answer.)
3. Use the mean value theorem to prove the following inequality. (1 +x)" >1 for z >0 andnEN
[10] 1. Solve the first-order equation Tư + (x – 2) = -xe-3, > 0.
Question 6 Solve: (write solution set in interval notation) x-1 x-2 x-x-2 a) <1 b) > 0 X-5
9. The distribution function of a random variable X is given by 0, for r<-1, F(x) = { 271 -1<x<1, 1, 2 > 1. Find (a) P(Z < X < }); (b) P(1<x< 2).
3. (10 pts.) X is a Gaussian random variable with E{X} = 2 and Var(X) = 16. Let Y = 3X +1. Determine the probability: Pr(Y > 2)
Let f and g be differentiable on R such that f(1) = g(1), and f'(x) < '() for all r ER. Prove that f(x) = g(2) for 3 >1.