The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computed as:

v= √2gH tanh (√2gH/2L. t)

where g = 9.81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s). Develop a MATLAB script that

a. Plots the function f(H) versus H for H = 0 to 4 m (make sure to label the plot) and

b. Uses LastNameBisect with initial guesses of xl = 0 and xu = 4 m to determine the initial head needed to achieve υ = 5 m/s in 2.5 s for a 4-m long pipe.

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

whole number data type

step-by-step explanation:

as whole number type represents whole number

like 1, 2 ,3, 4

in other words the whole numbers are those numbers which cannot be written infraction.

since we can take days as a whole number i.e 1 day 2 day and we cannot write 1.2 day hence we will use whole number data type

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.