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Differentiating with respect to x gives:3x^2 -y^2- x 2y(dy/dx) = 03x^2 -y^2 = x2y(dy/dx)dy/dx = (3x^2 - y^2)/2xy

5.54 x100 = 554 554 x 27 = 3878 + 11080 = 1495814958 / 100 = 149.58 149.58 < 150 Therefore Steve does have the money to buy all 27 plants.

Claim: For any prime p: (p-1)! = -1 (mod p)Proof: For p=2: 1! = 1 so the equality obviously holds. Therefore, we need to consider cases when p is odd.
Let's consider set: {1, ... , p-1}...

We can think of taking the logarithm base a of a number b (log_ab) as "the number of times we need to multiply a by itself to get b". So for example, log₂ 16 = 4, since we n...

This problem can be solved by squaring both sides of the inequality, as this removes the modulus from the problem. Modulus or | | means that a term can take positive and negative values, which could also ...