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Triangles FGH and MNO are similar. The length of the sides of FGH are 105, 126, and 231. The length of the smallest side of MNO is 150, what is the length of the longest side of MNO?
If the train were announced to be running thirteen minutes late, how many times would you predict the man next to you would check the time?
Find the gradient of f(x,y) at (3,2). Compute the directional derivative (triangle u) f(3,2) where u is the unit vector in the direction of v =
Find the volume of a triangle with sides y = 2, y = x+1, y = 11-x. The vertices are (5, 6), (1, 2) and (9, 2). Find the volume by rotating about y-axis:
A ski-run follows the curve of y=0.01x^2 - 0.6x + 9 from x=0 meters to x=30 meters. What is the angle between the ski-run and the horizontal where x=10?
Given three points, there is one line that can be drawn through them if the points are colinear. If the three points are noncolinear,there are three lines that can be drawn through pairs of points.
Find the probability
What is the area of the region bounded by y=sin(x), y=cos(x), and the x-axis between x=0 and x=pi/2
A class has 10 business majors and 15 econ majors. If Five students are chosen at random, what is the probability that three are business major and two are econ majors?
Find the distance from the origin to the line passing through the point P(3,1,5) and having the direction vector v=2i-j+k.
Suppose that a body moves in a straight line through a resisting medium with resistance proportional to the square of it's speed v with initial speed v_0 and initial position x_0.
How many relative maximum/minimum points are there? How many absolute max/min points?
Calculate the surface area of an unopened steel can that has a height of 5cm and a radius of 7cm.
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