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A number, x, increased through 3 is multiplied by the similar number, x, increased by 4. What is the product of the two numbers in terms of x?
The two numbers in terms of x would be x + 3 and x + 4 because increased through would tell you to add. Product tells you to multiply these two quantities: (x + 3)(x + 4). Use FOIL (First terms of each binomial multiplied, Outer terms within each multiplied, Inner terms of each multiplied, and Last term of each binomial multiplied) to multiply the binomials: (x • x) + (4 • x) + (3 • x) + (3 • 4); simplify every term: x2 + 4x + 3x + 12. Combine like terms: x2 + 7x + 12.
Graph f ( x ) = e x and g ( x ) = e - x . Solution There actually isn't a lot to this problem other than ensuring that both of these exponentials are graphed somewhere.
Define the Probability Transition Matrices or Brand switching.
A Pythagorean triple is a set of positive integers (a,b,c) like a2 + b2 = c2. Write a function "ispythag" that will receive 3 positive integers (a, b, c in that order) and will r
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Optimization : In this section we will learn optimization problems. In optimization problems we will see for the largest value or the smallest value which a function can take.
Differentiate following functions. (a) f ( x ) = 15x 100 - 3x 12 + 5x - 46 (b) h ( x ) = x π - x √2 Solution (a) f ( x ) = 15x 100 - 3x 12 + 5x - 46 I
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Proof of: lim q →0 (cos q -1) / q = 0 We will begin by doing the following, lim q →0 (cosq -1)/q = lim q →0 ((cosq - 1)(cosq + 1))/(q (cosq + 1)) = lim q
What is Substitution Technique of Linear Equations?
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