Answer:
Substitute –3 for x and 5 for h in the difference quotient.
Step-by-step explanation:
The difference quotient for the function f(x) is 21x² + 21xh + 7h² + 2. Now, we know that the difference quotient equal f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. The change in x is h = x₂ - x₁. So, if x changes from x = -3 to x = 2, where x₁ = -3 and x₂ = 2, h = x₂ - x₁ = 2 - (-3) = 2 + 3 = 5.
So to find the average rate of change of f(x) from x = -3 to x = 2, we substitute x = -3 and h = 5 into the difference equation f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. Since, x starts at x = -3 and increases by 5 units to x = 2.
70 mi / 3 h = 23.33 miles / hour
Answer:
i) 2.3× 10⁻¹²
ii)2.3× 10¹⁰
iii)2.3× 10¹³
iv)2.3× 10⁻¹¹
<u>Step-by-step explanation</u>:
The degree and power depends on the position of the decimal. The degree of 10 is negative when the decimal is before 23 and is positive when it's after 23.
