Determine whether the improper integral converges or diverges, and find the value of each that converges.
∫^[infinity]_0 8e^x-8x dx

Answer

Given

Improper Integral I is given as  

using ilate rule

now,

putting limits of integrals

now, we are not able to find the solution of the above equation.

hence, the integral donot converges to a single point.

so, we can say that the integral is diverging in nature.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

where are the images of the functions i can only see the question you typed.

step-by-step explanation: