Answer:
A) 12.1 , 12.01
B) infinitely large
Step-by-step explanation:
Give that the function f(x)=x2 describes the area of the square, f(x), in square inches, whose sides each measure x inches. If x is changing.
Using the formula
(f(a + h) - f(a))/h
as x changes from 6 inches to 6.1 inches
a = 6, h = 0.1
= [f(6.1) - f(6)]/0.1
= (6.1^2 - 6^2)/0.1
= (37.21 - 36)/0.1
= 1.21/0.1
= 12.1
and when x changes from 6 inches to 6.01 inches.
a = 6, And h = 0.01
Using the same formula
(f(a + h) - f(a))/h
= [f(6.01) - f(6)]/0.01
= (6.01^2 - 6^2)/0.01
= (36.120 - 36)/0.01
=0.1201/0.01
= 12.01
B) the instantaneous rate of change of the area with respect to x at the moment when x = 6 inches is infinitely large since h = 0
Answer:
Yes
Step-by-step explanation:
The value x = 42 is a solution to the equation 7 = x/6.
Answer:
e find Ad. Explain your answer
The first step is to name the equations to make the process of solving them easy.

The second step is to multiply each of the equations by the coefficient of the x term in the other equation. In this case, we will multiply equation (1) by 5 to get equation (3) and then multiply equation (2) by 6 to get equation (4).

The next step is to add equation equation(3) and (4) together to get equation (5) as shown below;

The next step is to take the value of y and substitute it into any of the equations above. For this solution, I pick equation (1). The work done to solve for x is shown below.;

The solution for this system of equations is 