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How many partial functions (see Definition 13 of Section 2.3) are there from a set with m elements to a set with n elements, where m and n are positive integers?
A piece of wire 46 inches long is bent into the shape of a rectangle having width of x and length of y. Express the area A of the rectangle as a function of x.
the total mass of 1 packet of sugar and 1 packet of flour is 230g .the total mass of 1 packet of sugar and 1 packet of
Let f(x,y) = 1 - x2 - 2y2 and let S be the surface z = f(x,y). Parametrize the path of steepest ascent up S starting from the point (2, 1, -5). What point does the path approach?
You have just graduated from college and landed your first big job. You have always dreamed of being a homeowner, and after carefully shopping for your dream home, you find one that you would like to purchase at a cost of $250,000.
Consider the planes x1+x2+3x3 = 4 and x1+2x2+4x3 = 5 in R^3. Find parametric equations for the line of intersection of these two planes
A daily number lottery chooses three balls numbered 0 to 9. The probability of winning the lottery is 1/1000. Let x be the number of times you play the lottery before winning the first time. (a) Find the mean, variance, and standard deviation. Int..
Suppose that a "skew" product of vectors in R2 is defined by (u,v)=u1v1-u2v2. Prove that (u,v)squared >equal too (u,u)(v,v). (NOTE; This is just the reverse of the Cauchy- Schwartz inequality for the ordinary dot product.)
The questions we will answer using optimization are: What dimensions should the box have, and what would be the resulting maximum volume?
What is the scalar component of F→ acting perpendicular to r→? What is the vector component of F→ acting perpendicular to r→? What is the angle between to two vectors?
If you were given a large data set such as the sales over the last year of our top 1,000 customers, what might you be able to do with this data? What might be the benefits of describing the data?
Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time
what are the three consecutive even numbers that have a product of 480? I know it's 6, 8, 10. But how can you solve it using factoring. x(x+2)(x+4) = 480 simplifies down to x^3 + 6x^2 + 8x - 480 = 0. Then what do you do?
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