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Oliga [24]
3 years ago
5

I need help on #37!!

Mathematics
1 answer:
Nataliya [291]3 years ago
5 0

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

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<h2>In the attachment.</h2>

Step-by-step explanation:

|a|=\left\{\begin{array}{ccc}a&for\ a\geq0\\-a&for\ a

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