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Problem - A piece of wire 7 m long is cut into two pieces. One piece is bent into a square and the other is bent an equilateral triangle.
(a) How much wire should be used for the squares in order to maximize the total area?
(b) How much wire should be used for the square in order to minimize the total area?
A worker at a deli neglects to wash his hands before preparing potato salad. He unintentionally contaminates the salad with 12,000 Salmonella cells. How many bacteria will be present in 12 hours if the generation time is 15 minutes
Find the area enclosed by the given curve and the y-axis.
In a survey of 2541 adults aged 18 years and older, 58% of respondents claimed that it was easier to make friends in person, whereas 42% thought that it was easier to do so through social-networking sites.
Develop a probability distribution for the job satisfaction score of an executive manager. Develop a probability distribution for the job satisfaction score of a financial adviser.
Find the angle of elevation of a camera.
When b=2 show that the differential equation in the above figure has a solution of period k. Show that det A(t)= 1 for all t then use this to show that the floquet multipliers are roots of x2-bx+1=0 when b is the trace of A(k).
Natural disasters and wars are crises that impact every type of economy, regardless of economic system. All types of economic systems struggle to respond quickly to such destruction.
Estimation: Newton's method and areas. Try to compute ln(2) without a calculator. In other words, use Newton's method to approximate the solutions of the equation ex - 2 = 0
Find the mass of a thin plate occupying a small region cut from the ellipse x2 + 4y2 = 12 by the parabola x = 4y2 of density 5x.
Please answer Part 2 explaining part 2 You mentioned that looking at the p-values for each independent variable is necessary to see if they are significant, how would you determine their significance by looking at each of these values?
A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm, by cutting out squares of length x by x from each corner and bending up the sides. What is the maximum volume this box could have?
Let f(x)=x^-3 (x-sinx) for x=0. How should f(0) be defined in order that f be continuous? Is it differentiable? Subject: Numerical Analysis: Mathematics of Scientific Computing
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