A hiking trail is roughly in the shape of a circle with radius 2000 ft . Suppose that a rectangular coordinate system is set up with the origin at the center of the circle. Donna and Eddie start walking from point A 2000 , 0 at 220 ft/min . Eddie goes off-trail and walks directly toward the center of the circle and Donna walks along the trail counterclockwise. a. Find the coordinates of each person after 5 min . Round the coordinates to the nearest foot b. How far apart are Eddie and Donna after 5 min ? Round to the nearest foot. c. If Eddie can no longer walk because he sprains his ankle after foolishly leaving the trail, at what bearing would Donna walk to find him? Round to the nearest tenth of a degree.
A hiking trail is roughly in the shape of a circle with radius 2000 ft . Suppose that a rectangular coordinate system is set up with the origin at the center of the circle. Donna and Eddie start walking from point A 2000 , 0 at 220 ft/min . Eddie goes off-trail and walks directly toward the center of the circle and Donna walks along the trail counterclockwise. a. Find the coordinates of each person after 5 min . Round the coordinates to the nearest foot b. How far apart are Eddie and Donna after 5 min ? Round to the nearest foot. c. If Eddie can no longer walk because he sprains his ankle after foolishly leaving the trail, at what bearing would Donna walk to find him? Round to the nearest tenth of a degree.
Solution Summary: The author calculates the coordinates of Donna and Eddie after each person walks for 5min from point A.
A hiking trail is roughly in the shape of a circle with radius
2000
ft
. Suppose that a rectangular coordinate system is set up with the origin at the center of the circle. Donna and Eddie start walking from point
A
2000
,
0
at
220
ft/min
. Eddie goes off-trail and walks directly toward the center of the circle and Donna walks along the trail counterclockwise.
a. Find the coordinates of each person after
5
min
. Round the coordinates to the nearest foot
b. How far apart are Eddie and Donna after
5
min
? Round to the nearest foot.
c. If Eddie can no longer walk because he sprains his ankle after foolishly leaving the trail, at what bearing would Donna walk to find him? Round to the nearest tenth of a degree.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
The correct answer is C,i know that we need to use stokes theorem and parametrize the equations then write the equation F with respect to the curve but i cant seem to find a way to do it, the integral should be from 0 to 2pi but i might be wrongcould you show me the steps to get to 18pi
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