37.5% is what I think the correct answer is sorry if its wrong
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: Jill got the larger smoothie and its volume is 1609.14 cubic cm.
Step-by-step explanation:
Since we have given that
Jill purchased the cylindrical container.
Height of container = 8 cm
Radius = 8 cm
So, volume of cylindrical container would be

Marcy purchased the rectangular container.
Height of container = 8 cm
Width = 8 cm
Length = 8 cm
so, volume of rectangular container would be

Hence, Jill got the larger smoothie and its volume is 1609.14 cubic cm.
Answer:
a. -2
Step-by-step explanation:
Answer:
D
Step-by-step explanation: