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The square of the largest of three positive consecutive integers is 320 less than the sum of the squares of the two smaller integers. Find the three integers.
find the gradient field of f where f(x,y)= xy-2x. skecht some lever of a curve.
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
Evaluate the integral: Where E is the tetrahedron enclosed by the coordinate planes x=0, y=0, z=0 and the plane 2x + y + z = 4.
Solve the problem on percentages
Assuming exponential population growth, predict the populations of China and the U.S. in the years 2100 and 2200. Assuming exponential population growth, approximately when will China's population double?
a tree on a hillside casts a shadow 209 ft down a hill. If the angle of incline of the hillside is 22 to the horizontal and the angle of elevation of the sun is 54, find the height of the tree.
A rectangular study plot is to be enclosed by 625 m of fencing. What are the dimensions of the study plot that will have the largest area?
Imagine you are talking about your college math class over the family dinner table with your father, and he asks, "What are Venn diagrams?" Describe how you would explain them to him.
Calculate the test statistic.
Adding 4 fractions. The denominators are: 3a, 24b, 7a, and 25b. What is the LCD?
Similarly, one additional unit will be occupied for each 1 dollar decrease in rent. What rent should the manager charge to maximize revenue?
The hypothesized developmental differences
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