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Three points are said to be collinear they all lie on the same line. One way to show that three points are collinear is to show that the slope between any two pairs of the points is the same. If P=(1,5), Q=(2,2), and R(-4,-1), are P, Q, and R collinear?
Evaluate the following iterated or double integrals, by means of any technique you've learned so far. ∫∫R(x-y)(x2+y2+1)-1dA dx. Where R is the region bounded by the unit circle centered at the origin.
amber invested $8000 into a mutual fund 7 years ago. If the fund grew at the rate of 6.5% per year compounded monthly, what would Amber's account be worth today?
Discuss the communication challenges of groups and teams with your mentor. What challenges does he or she find most common? What strategies does he or she use to address these challenges?
a building is located at the end of street that is inclined at an angle of 8 degree with the horizontal. at the point
How to understand the following: 1. Symmetry and angle properties of triangles, special quadrilaterals and circles. 2. Midpoint theorem and intercept theorem for triangles.
we are bombarded by statistical information from a wide variety of sources. much of the statistical research performed
Which of the following gives the general rule for simplifying the product of two powers with the same base?
In other words, the company would be paying a few dollars for a survey to give them more confidence before they decide whether or not to commit to a big dollar investment. Should the survey be commissioned?
Using the definition of the derivative and any standard limiting theorems, show that the derivative of (sinx)^2 is sin(2x).
How would I solve the characteristic equation for B and show that the eigenvalues are 0, 2 and 4? For each eigenvalue, how would I find a corresponding eigenvector?
A circular swimming pool has a diameter of 25 ft, the sides are 6 ft high, and the depth of the water is 5 ft. How much work is required to pump all of the water over the side? (Use the fact that water weighs 62.5 lb/ft3.)
Gandalf knows that Sauron's power can be modeled with the equation P(x) = -x2 - 50x + 10,00. Find out the (time) rate of increase in Sauron's power when the Fellowship is 75 miles from Mt. Doom.
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