Answer:
xi.) 1 = 1
xii.) 1 + 1 = 2
Step-by-step explanation:
see explanation in attached picture,
i hope it helped.
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:
Number of points, x, Number of segments, y
x: 2, 3, 4, 5, ... N,. ...
y: 1, 3, 6, 10, ... (N-1)(N)/2, ...
Step-by-step explanation:
Adding Nth point, there are N-1 new segments,
and (sum over {i = 1 to N-1} of i) total segments. As Gauss knew when he was c.10 yo, the sum is (N-1)(N)/2.
Answer:
16
Step-by-step explanation:
Since DF and BC are similar, their ratios are:
12:3
4:1
Since AB is similar to ED:
Substituting the ratio:
x:4
Hence, x = 16
Hence, AB = 16
<em>Hope this helps and be sure to have a wonderful time ahead at Brainly! :D</em>