The Heaviside function is defined by H ( x ) = { 1 , if x ≥ 0 ; 0 , if x < 0 . Using just the definition of integrable, prove that the Heaviside function is integrable on [ a , b ], where a < 0 < b. What is the integral?

step-by-step explanation:

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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

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.