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A force of 5 Newtons acts in the direction of a = -7i+3j+4k, moving a particle from point B(1, 7, 1) to point C(-7, 5,-2). What is the work done on the particle given that the displacement is measured in meters?
Probability & Statistics Questions. A machine produces 12,000 bolts per day, with a 3% defect rate. What is the probability that twelve defective bolts will be found in a sample of 600 bolts?
Prove that there cannot be a nilpotent group N generated by two elements with the property that every nilpotent group generated by two elements is a homomorphic image of N
Using ANOVA to test mean difference
A manufacturer produces cardboard boxes that are open at the top and sealed at the base. The base is rectangular and its length is double its width.
Senior Management at Esil University believes that decreases in the number of undergraduate applications that they have experienced are directly related to tuition increases.
Calculate the probability that the return for common stocks
Important information about Sets and Probability, A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. Find the odds in favor of drawing the following.
How much should you save every year on order to have the proper amount invested when you retire and find the derivatives
Create a joint probability table
Starting with a hypothetical population of 14,000 people and an even age distribution [1,000 in each age group from 1-5 to 66-70 years], suppose that the population initially has a total fertility rate of 2.0 and an average life span of 70 years.
Conditions for Linear transformation. This chapter starts as follows rotations about the origin and all reflections in lines through the origin can be expressed as functions with rules of the form
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
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