Consider the Dirichlet problem for the "hammer blow" on the half line (you may assume c = 1, h = 1) utt − c 2uxx = 0 in 0 < x < [infinity], u(x, 0) = φ(x), ut(x, 0) = ψ(x), u(0, t) = 0, with φ(x) ≡ 0, ψ(x) = h, a < x < 2a, 0, otherwise. Find the values of u for all (t, x) and indicate them on the (t, x)-plane. Draw the profile of the string at several times a/2c, a/c, 3a/2c, 5a/2c to understand how the wave gets reflected from the boundar

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step-by-step explanation:

i need the options

step-by-step explanation:

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet