Determine if the given polar coordinates represent the same point.(5, ?/3), (-5, -2?/3)
A. Yes
B. No
Answer: A
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Solve the problem.A town has a population of 10,000 people and is increasing by 10% every year. What will the population be at the end of 4 years?
A. 4641 people B. 13,310 people C. 14,641 people D. 14,000 people
Let H be the hyperplane through the points. Find a linear functional f and a real number d such that ,
,
,
A. f(x1, x2, x3, x4) = -5x1 + 2x2 - 6x3 + 5x4, d = 0 B. f(x1, x2, x3, x4) = 5x1 + 6x2 + 2x3 + 5x4, d = 10 C. f(x1, x2, x3, x4) = x1 - 2x2 - 6x3 + 13x4, d = 12 D. f(x1, x2, x3, x4) = 2x2 - x3 + 5x4, d = 5
Provide an appropriate response.Graph the rectangle with vertices (3, 3), (6, 6), (8, -2), and ( 11, 1). Are the midpoints of the sides of the rectangle the vertices of a rectangle?
A. Yes B. No
Let f(x) be the function pictured in the graph. Determine whether the given integral is positive, negative, or zero.
A. Cannot be determined B. Positive C. Negative D. Zero