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The Red Cross wants to airlift supplies into a South American country which has

experienced an earthquake. Four types of supplies, each of which would be shipped

in containers, are being considered. One container of a particular item weighs 120,

300, 250, and 500 pounds, respectively, for the four items. If the airplane to be used

has a weight capacity of 60,000 pounds and x j equals the number of containers

shipped of item j:

a) Determine the equation which ensures that the plane will be loaded to its

weight capacity.

b) If it is decided to devote this plane to one supply item only, how many

containers could be shipped of each item?


verify that -2x^2y+y^2=1 is the implicit solution of the of the differential equation (x^2-y)dy/dx + 2xy=0


1. An elevator cab that weighs 27.8 kN moves upward. What is the tension in the cable if the cab’s speed is ___.



Find the mass of the elevator:


a. At rest


b. Uniform motion


c. Increasing at a rate of 1.2m/s2


d. Decreasing at the rate of 1.2m/s2




Please give me a solution and formula by letters. Thank you!


Using Enumeration type




Sample Run 1:



Enter the measurement of the sides of the triangle: 3 4 5



The triangle is an example of scalene triangle.




Sample Run 2:



Enter the measurement of the sides of the triangle: 10 10 8



The triangle is an example of isosceles triangle.




Sample Run 3:



Enter the measurement of the sides of the triangle: 10 10 10



The triangle is an example of equilateral triangle.




Sample Run 4:



Enter the measurement of the sides of the triangle: 10 1 2



The triangle is an example of notriangle triangle.

Type of random varial of number of black cards from an ordinary deck of cards





PART B. Non-Homogenous Linear Differential Equations

7. (D ^ 2 - 3D + 2) * y = (1 + e ^ (- x)) ^ 2

6. (D ^ 2 + 1) * y = x * cos x


PART B. Non-Homogenous Linear Differential Equations

5.(D^ 2 +25)y=sin x+cos 2x

5. (D ^ 2 + 4) * y = tan 2x



Non-Homogenous Linear Differential Equations

1. (2D ^ 2 + 3D + 1) * y = e ^ (- 3x)

2.(D^ 2 -2D+5)y=25x^ 2 +12

4. (D ^ 2 - 3D + 2) * y = 14sin 2x - 18cos 2x


Homogenous Linear Differential Equations

6. (D ^ 3 - 2D ^ 2 - 3D) * y = 0

5. (D ^ 3 - 3D ^ 2 + 4) * y = 0

7. (4D ^ 3 - 3D + 1) * y = 0


Homogenous Linear Differential Equations

1. (D ^ 2 + 3D) * y = 0


2.(D ^ 2 + D - 7) * y = 0


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