Decide if the number is rational or irrational.
A. Irrational
B. Rational
Answer: A
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Find the logarithm using the change-of-base formula.log300 30
A. 1.677 B. 5.7038 C. 0.5963 D. 3.4012
Find the equation of the circle from the given information.The points (5, 3) and (5, -3) are the ends of a diameter.
A. (x - 3)2 + y2 = 25 B. (x - 5)2 + y2 = 9 C. x2 + (y - 3)2 = 25 D. (x - 5)2 + y2 = 3
Answer the question.The graph below shows the level curves of a differentiable function f(x, y) (thin curves) as well as the constraint g(x, y) = 
- 
= 0 (thick circle). Using the concepts of the orthogonal gradient theorem and the method of Lagrange multipliers, estimate the coordinates corresponding to the constrained extrema of f(x,y).
A. (1.1, 1.1), (-1.1, 1.1), (-1.1,-1.1), (1.1,-1.1) B. (1.3, 0.7), (-1.3, 0.7), (-1.3,-0.7), (1.3,-0.7) C. (1.5, 0), (0, 1.5), (-1.5, 0), (0, -1.5) D. (1.5, 0.2), (0.7, 1.3), (-1.5, 0.2), (-0.7, 1.3), (-1.5, -0.2), (-0.7, -1.3), (1.5, -0.2), (0.7, -1.3)
Write the inequality using interval notation, and illustrate the inequality using the real number line.t ? -10
A. (-10, ?)
B. [-10, ?)
C. (-10, ?]
D. [-10, ?]