Drafting Error When a draftsman draws three lines that are to intersect at one point, the lines may not intersect as intended and subsequently will form an error triangle . If this error triangle is long and thin, one estimate for the location of the desired point is the midpoint of the shortest side. The figure shows one such error triangle. Find an estimate for the desired intersection point. Find the length of the median for the midpoint found in part (a). See Problem 101.
Drafting Error When a draftsman draws three lines that are to intersect at one point, the lines may not intersect as intended and subsequently will form an error triangle . If this error triangle is long and thin, one estimate for the location of the desired point is the midpoint of the shortest side. The figure shows one such error triangle. Find an estimate for the desired intersection point. Find the length of the median for the midpoint found in part (a). See Problem 101.
Drafting Error When a draftsman draws three lines that are to intersect at one point, the lines may not intersect as intended and subsequently will form an error triangle. If this error triangle is long and thin, one estimate for the location of the desired point is the midpoint of the shortest side. The figure shows one such error triangle.
Find an estimate for the desired intersection point.
Find the length of the median for the midpoint found in part (a). See Problem 101.
3) Prove that in extracting real mode ø, from a complex measured mode o, by maximizing the
function:
maz
| ቀÇቃ |
||.|| ||.||2
is equivalent to the solution obtained from the followings:
max Real(e)||2
Draw the unit circle and plot the point P=(8,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
L1
(a) The line L₁ is tangent to the unit circle at the point
0.992
(b) The tangent line 4₁ has equation:
y= 0.126
x +0.992
(c) The line L₂ is tangent to the unit circle at the point (
(d) The tangent line L₂ has equation:
y= 0.380
x +
x
×
x)
The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 40 feet in radius. Your ball is located as in the picture below. The ball follows a straight line path and exits the green at the right-most edge. Assume the ball travels 8 ft/sec.
Introduce coordinates so that the cup is the origin of an xy-coordinate system and start by writing down the equations of the circle and the linear path of the ball. Provide numerical answers below with two decimal places of accuracy.
50 feet
green
ball
40 feet
9
cup
ball path
rough
(a) The x-coordinate of the position where the ball enters the green will be
(b) The ball will exit the green exactly
seconds after it is hit.
(c) Suppose that L is a line tangent to the boundary of the golf green and parallel to the path of the ball. Let Q be the point where the line is tangent to the circle. Notice that there are two possible positions for Q. Find the possible x-coordinates of Q:
smallest x-coordinate =…
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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