So let f(x) = x^(2/3)
<span>Then let f'(x) = 2/3 x^(-1/3) = 2 / (3x^(1/3)) </span>
<span>When x = 8, </span>
<span>f(8) = 8^(2/3) = 4 </span>
<span>f'(8) = 2 / (3*8^(1/3)) = 1/3 </span>
<span>So near x = 8, the linear approximation is </span>
<span>f(x) ≈ f(8) + f'(8) (x - 8) </span>
<span>f(x) ≈ 4 + 1/3 (x - 8) </span>
<span>So the linear approximation for x = 8.03 is... </span>
<span>f(8.03) ≈ 4 + 1/3 (8.03 - 8) </span>
<span>f(8.03) ≈ 4 + 1/3 (0.03) </span>
<span>f(8.03) ≈ 4.01 </span>
<span>8.03^(2/3) ≈ 4.01 </span>
Answer:
3,702,856
Step-by-step explanation:
add the three million and then look at the second number you need to add to it and it is seven hundred and two thousand so it should be 702 instead of 720.
HEY THERE.
THE CORRECT ANSWER IS 36/63 = 4/7
Hope this helps you
Answer:
$27.90
Step-by-step explanation:
Step 1: Find how much 4 large necklaces will cost
$5.70 * 4 = $22.80
Step 2: Add the cost of 4 large necklaces to the price of 1 small necklace
$22.80 + $5.10 = $27.90
