Without using matlab, sketch the root locus with respect to K of the characteristic equation for the closed-loop system, paying particular attention to points that geneerate multiple roorts. Find the value of K at that point, state what the location of the multiple roorts is, and how many mutiple roots there are

yes

step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368

add 8+12 to get a simplified answer of 12r-20