Which of the following statements are correct? a. the value of a function that is a solution to laplace's equation is equal to the average of the values at its nearest neighboring points. b. the solution to laplace's equation in some region in space achieves its maximum and minimum values on the boundary of the region. c. poisson's equation becomes laplace's equation in any region with no volume charge. d. laplace's equation is a second order partial differential equation.

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation:

.25

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

b

step-by-step explanation:

i dont know