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Make a principal component analysis of the data to find a single size index that explains most of the variation in the data.
The following table lists the weights and heights of five boys:
Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
Find all of number for which the rational expression: (x+4) / (x^2 - 3x -10), is not defined. Explain your answer and add explanatory text for each line of algebra. What role does the numerator play and why?
What is the orientation or case of an ellipse with this equation 5x^2+13y^2=7? And how will I prove if its either horizontal or vertical?
A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items?
Find the area of the region bounded by the graph of y = (x2 - 5x + 6)e2x and the x-axis. Find the volume of the solid obtained when the region under the graph of y = sin-1(x/ 2) for 0 ≤ x ≤ 2 revolved around the y-axis.
what are the dimensions of the silo (radius and height of cylindrical tower) that minimize the cost of the material? Assume the silo has no floor and no flat ceiling under the dome.
Cosider the function f(x,y) = x2 +(y2)/4 and the level curve at z = 1 is the ellipse x2+(y2)/4=1. Find a vector perpendicular to the tangent line of this level curve at (1/(2)(1/2), (2)(1/2)).
the ultimate expression of freedom in the united states is the right to vote. this right is deeply treasured by many
Find the characteristic polynomial of matrix A. Show all details of your calculations. You want to complete this part by hand, but feel free to use technology to double-check your result
Compare this number with the number of flops needed to form (adj A)/ (det A).
You are asked to find the value of √1-cos A/1+cos A
A sum of $1,000 was invested for 4 years, and the interest was compunded semiannually. If the sum amounted to $1,300.24 in the given time, what was the interest rate?
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