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The graph of the tilted ellipse x2 - xy + y2=3 is shown to the right. What are the dimensions and the location of the box containing the ellipse?
If the total interest from both the remaining savings account money and the stock amounted to $580 for a year, how much was originally in the savings account?
Let E be the region in R3 bounded by the three coordinate planes and the plane x+4y+2z = 4. Set up a triple integral which calculates the volume of E (you do not need to evaluate).
find the slope of an object either where you live, where you work, or outside somewhere. Examples might include a ladder positioned against a wall or against a house, a banister on a set of stairs, a slide in a park, etc.
Given A = a*p_hat + b*psi_hat + c*z_hat (cylindrical unit vectors), where a, b, and c are constants. Is A a constant vector (uniform vector field)? If not, find: the divergence and curl of A
One poll found that 46% of male voters will support a candidate while another found that 49% of female voters will be in support. To test whether this candidate has equal levels of support between male and female voters, what should the alternative h..
Find the break-even point for the firm
By looking at two linear equations, how can you tell that the corresponding lines are parallel, the same graph, or intersecting lines? How many solutions does each possibility have and why is that? Show examples for each possible situation.
In Aaliyah's grade, 2/3 of the students have a sister. Of the students who have a sister, 1/2 also have a brother. What fraction of the students in Aaliyah's grade have both a sister and a brother?
Find the equation of the family of circle at the intersection of x^2+y^2-x+3y-4=0 and x^2+y^2-8x-4y+10=0 through the member at point (1, -7). Find k, general form, standard form and C(h,k) & r
Find the volume of the resulting solid when the region bounded by y=3x^2+5x, y=0, and x=4 is revolved about the x-axis
Alex is making a rectangular garden and wants a fence around it. He wants the length of the garden to be 3 feet longer than the width. 150 feet of fence is all he can afford. What is the greatest possible width he can have for his garden?
Henry received a 6% raise. If his old monthly salary was $2,250, what is his monthly salary now? (Hint: Find the amount of the raise. The add the raise to the previous monthly salary.)
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