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Prove that the shortest distance between two points is a straight line. Show that the necessary conditions yield a minimum and not a maximum.
If the ball is struck and leaves the ground at an initial angle of 30 degree with the horizontal, then with what initial velocity should it be hit to land in the hole?
Find the dollar weighted (simple interest) yield rate and the time weighted yield of the account for this year.
The cost per unit produced at a certain facility is represented by the function UC = 2x^2 - 10x + 50, where x is in thousands of units produced. For what value of x would unit cost be minimized (other than zero)? What is the minimum cost at this v..
Where denotes the usual cross product of vectors. Sow that L is a Lie algebra and determine its structure constants relative to the standard basis for R3.
Determine the average amount of time that a guest spends checking in. How would this change under each of the state options? Which option do you recommend?
Calculate the diameter of a medium carbon steel pin in double shear subjected to a suddenly applied shearing force of 150,000N
Describe a situation in your business or personal life that required research. You also may describe a current situation that will require research in the future.
Construct a program where inputs: the coefficients (a1, a2, a3, a4, a6) of an elliptic curve E : y 2 + a1xy + a3y = x 3 + a2x 2 + a4x + a6 and an integer n. The output Δ (discriminant of E) mod n and the j invariant of E mod n.
The correlation between number of friends and grade point average (GPA) for 50 adolescents is .37. Is this significant at the .05 level for a two-tailed test?
Select a project and agree specifications and procedures and implement the project within agreed procedures and to specification.
Theater policy requires that once a movie is started it must be shown in consecutive weeks. It can not be stopped and restarted again. To represent the schedule possibilities for each movie, the following decision variables were developed:
Find the velocity and acceleration at point (1,1,1) at time t = 1 second. Write the acceleration vector.
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