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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?
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 500 liters in the pond to start.
Simplify the logarithmic expressions by using logarithmic properties - Simplify the provided logarithmic expressions
Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000
Find the score that marks the top 5 percent
Augmented matrices to solve the equations
Using one proportion Z test to determine
Solve for the derivative of the given function, finding the slope of the line that is tangent to its graph for the specified value of the independent variable
Mean and Variance of a Probability distribution, A bank keeps tracks of customers coming into the bank between 12 Noon and1 PM on Monday.
Application of law of cosines to pentagons - evaluate the perimeter of the pentagon. Show sketch and equation.
Graph by hand the curve whose parametric equations are given and show its orientation. Find the two different parametric equations for the rectangular equation
Probability when throwing five six-sided dice, Compute the probabilities for each of the following when you throw five-six handed dice.
Probability : Independent Dual Probability, A student applies for two different scholarships. The probability of receiving the first scholarship is 0.3 and the probability
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