A hospital is located 3 mi west and 4 mi north of the center of town. Suppose that a Medi-Vac helicopter flies at a constant speed from the hospital to the location of an accident 15 mi east and 20 mi south of the center of town in 15 min 1 4 hr . Choose a coordinate system with the origin at the center of town. a. Write parametric equations to represent the path of the helicopter as a function of the time t (in hr) after the helicopter leaves the hospital. b. Where is the helicopter located 10 min after leaving the hospital?
A hospital is located 3 mi west and 4 mi north of the center of town. Suppose that a Medi-Vac helicopter flies at a constant speed from the hospital to the location of an accident 15 mi east and 20 mi south of the center of town in 15 min 1 4 hr . Choose a coordinate system with the origin at the center of town. a. Write parametric equations to represent the path of the helicopter as a function of the time t (in hr) after the helicopter leaves the hospital. b. Where is the helicopter located 10 min after leaving the hospital?
Solution Summary: The author explains the parametric equations to represent the path of helicopter as a function of time.
A hospital is located
3
mi
west and
4
mi
north of the center of town. Suppose that a Medi-Vac helicopter flies at a constant speed from the hospital to the location of an accident
15
mi
east and
20
mi
south of the center of town in
15
min
1
4
hr
. Choose a coordinate system with the origin at the center of town.
a. Write parametric equations to represent the path of the helicopter as a function of the time
t
(in hr) after the helicopter leaves the hospital.
b. Where is the helicopter located
10
min after leaving the hospital?
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.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY