So, f[x] = 1/4x^2 - 1/2Ln(x)
<span>thus f'[x] = 1/4*2x - 1/2*(1/x) = x/2 - 1/2x </span>
<span>thus f'[x]^2 = (x^2)/4 - 2*(x/2)*(1/2x) + 1/(4x^2) = (x^2)/4 - 1/2 + 1/(4x^2) </span>
<span>thus f'[x]^2 + 1 = (x^2)/4 + 1/2 + 1/(4x^2) = (x/2 + 1/2x)^2 </span>
<span>thus Sqrt[...] = (x/2 + 1/2x) </span>
34- 6, 12, 18, 24, 30, 36
35- 15, 30, 45, 60, 75, 90
If you mean x^2=36, then the answer is -6 or 6
Answer:
Step-by-step explanation:
Graph y = -3x. Start at the origin (0, 0). Place a dark dot there. Now, starting with your pencil point on that dot, move 1 space to the right and from this new point move 3 spaces down. Place a dark dot at this new point.
Now draw a straight line through both dark dots. This is the desired graph.
Answer:
595.82 cubic feet
Step-by-step explanation:
The formula for a cylinder is pi times radius squared times height. First, you take the diameter and divide it by two to get 4.25. Now do 4.25 times 4.25 and get 18.0625.
Now multiply 18.0625 by 10.5 to get 189.65625.
Now multiply that by pi (3.14) to get 595.82 (Rounded to the nearest hundreth)
