Answer:
Step-by-step explanation:
A <u>helix</u> is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (see attached diagram for helix).
The parametrization for the helix is
where 
is the radius of the helix, 
is the constant, and 
is the parameter
1. You'll need to download this data, or copy it down by hand.
2. Rearrange the data from lowest to highest values.
3. You have 24 data points (an even number).
In this case, to find the 1st quadrant, take the left half (that is, the left 12) data points. Since 12 is an even number, you must find the average of the middle two of these 12 data points. Your result is the 1st quadrant.
To find the 3rd quadrant, find the middle two data points of the right-hand 12 data points. Average these two points. The result is the 3rd quadrant.
Answer:
y = 2x - 7
Step-by-step explanation:
Looks like we already have the slope of this line: It is 2. Working with the point (1, -5), we have x = 1 and y = -5 and can from this info easily find the y-intercept, b:
y = mx + b becomes
y = 2x + b, which in turn becomes
-5 = 2(1) + b, or
b = -7,
and so the desired equation is y = 2x - 7
Answer:
27. x^7
28. 4x^13
29. 1/f^4
30. x^5
31. 2x^14
32. (4y^3 x^2)^2
33. (2y/x)^6
Step-by-step explanation:
33 = 88x
x = 33/88
x = .375 = 37.5 percent
