Solve the following optimization problems. f(x) = x^2 + 3x - 4 subject to r e r. (a) min z (b) min z f (x) = xe" subject to r e r in(x2 x 1) subject to r e r. 1-e subject to r e r. (c) min z f(x) f(r) (d) max z

If a baby uses 15 diapers in 2 days how many diapers will the baby use in a year

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?