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4 years ago

I need help with this question please ANSWER ASAP!!!

Mathematics

1 answer:

SashulF [63]4 years ago

7 0

Area of the larger circle is 9/4 πx²

Step-by-step explanation:

Step 1: Given area of the small rug = 1/4 πx² Compare this to the formula for area of a circle.

⇒ 1/4 πx² = πr²

⇒ x²/4 = r²

∴ r = x/2

Step 2: Given radius of the larger circle is 3 times that of the smaller circle (r = 3x/2), find area of the larger circle.

Area of the larger circle = πr² = π × (3x/2)²

= 9/4 πx²

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Answer:

The average rate of change of the given function

A(x) = 1

Step-by-step explanation:

Step(i):-

Given function f(x) = x² - 2x -4

And given that x = a = -1 and x=b = 4

The average rate of change of the given function

$A(x) = \frac{f(b)-f(a)}{b-a}$

Step(ii):-

f(x) = x² - 2x -4

f(-1) = (-1)² - 2(-1) -4 = 1+2-4 = -1

f(4) = 4² -2(4) -4 = 16 -12 = 4

The average rate of change of the given function

$A(x) = \frac{f(b)-f(a)}{b-a}$

$A(x) = \frac{4-(-1)}{4-(-1)} = \frac{5}{5} = 1$

final answer:-

The average rate of change of the given function

A(x) = 1

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