In problems 15-18, solve the heat flow problem (1)3 with ? = 3, l = ? , and the given function f(x 15. f(x) = sin x-6 sin 4x 16. f(x) = sin 3x + 5 sin 7x-2 sin 13x 7. f(x) sin x 7 sin 3x sin 5x 18. f(x) = sin 4x + 3 sin 6x-sin 10x

Determine the number of girls in a math class with 87 boys if there are 25 girls for every 75 boys

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

Find │–14│ a. 14 b. –14 c. start fraction 1 over 14 end fraction