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Sketch the given region R and then find its area.
R is the rectangle with vertices (1, 0), (-2, 0), (-2, 5), and (1, 5).
The region R is bounded by the graphs of x-2y = 3 and x=y^2. Set up (but not evaluate) the integral that gives the volume of the solid obtained by rotating R around the line x=-1.
Find the volume of the pyramid with a rectangular base. 11 in height, 12 in length, and 10 in width.
Assume f is continuous on the interval (a,b) that contains x0 and f(x0)>0. Show there is an open interval J that contains x0 and m>0 such that f(x)>=m for each x in J.
Using first two equations determine 3 possible points that the 2 conic sections that you get from equations meet. Add a third equation figure to out the one point that all three conic sections meet.
What is the mathematical model for the total profit earned by producing and selling x units ? What is the optimal solution for this production model?
Find a vector a with representation given by the directed line segment AB. Draw AB and the equivalent representation starting at the origin.
The measures of the angles of a triangle are in the ratio of 2:3:4. What is the measure of the smallest angle? Each side of a rhombus measures 10 inches. If one diagonal of the rhombus is 12 inches long, what is the length of the other diagonal?
Calculate the correlation coefficient for the linear trend line forecast & describe its meaning.
Applications of quadratic equations: Maxima and minima and What depth will provide a maximum cross sectional area and thereby provide for the greatest flow of water
A least squares regression line.
Find the probability of 14 or more widowed people in a random sample of 290 bowling league members?
The Pythagorean Theorem for right triangles states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2 + b2 = c2.
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