(a) find the solution u(x, y)of laplace’s equation in the rectangle 0 (b) find the solution if g(x)=x,0≤x≤a/2,a−x, a/2≤x≤a.
(c) fora=3 and b=1, plot u versus x for several values of y and also plot u versus y for several values of x.
(d) plot u versus both x and y in three dimensions. also draw a contour plot showing several level curves of u(x, y)in the xy-plane.

Workings and solution to this question can be viewed in the screenshots below:

total = principal × ( 1 + rate ) ^ years

total = 600 * (1.04)^5

total = 729.99

answer is c

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560