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Use langrange multiplier to determine the dimension of rectangular box open at the top, having a volume of 32ft^3 and requiring the least amount of material for it's construction



Prove by solution that at the height of 55.86 meters of the Learning Tower of Pisa, Galileo's experiment is true for a 42g baseball and a 46g golf ball to hit the ground at the same time ; thus proving that acceleration due to gravity is constant


When do you get a zero torque with respect to an acting force and the point of reference


Where can a body in motion possibly move continuously with the same speed in a straight direction?


In which direction must an object be fired, so that it's initial velocity is equal to the x- component of the instantaneous velocities along the travel?


In which direction must an object be fired to yield a final velocity of zero?


Find the complex form of the Fourier integral for the function 

f(x) = (0, x < 0

e−x, x > 0.


Find the Fourier sine and Fourier cosine integral for the following function 

f(x) = (x2, 0 < x ≤ 10

0, x > 10.


The factor that either increases or decreases the velocity of moving object


What is the result of adding vectors?


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