Write a polar equation of a conic that has its focus at the origin and satisfies the given conditions. Parabola, directrix y = -3

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Mathematics

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Subtract.

A. 3,833 B. 3,913 C. 3,917 D. 83

Mathematics

Find the unit tangent vector of the given curve.r(t) = (8 - 2t)i + (2t - 6)j + (8 + t)k

A. T = i - j - k
B. T = - i + j + k
C. T = i - j - k
D. T = - i + j + k

Mathematics

The box plots represent a comparison of the annual salaries of a group of opera and a group of country western singers respectively. Which of the following represents the five number summary for the salaries of the opera singers?

A. Min = $20,000, Q1 = $40,000, Q2 = $55,000, Q3 = $80,000, Max = $100,000 B. Min = $0, Q1 = $40,000, Q2 = $45,000, Q3 = $55,000, Max = $65,000 C. Min = $40,000, Q1 = $45,000, Q2 = $55,000, Q3 = $65,000, Max = $80,000 D. Min = $45,000, Q1 = $55,000, Q2 = $55,000, Q3 = $55,000, Max = $65,000 E. none of these

Mathematics

Verify the identity.cot2 x + csc2 x = 2 csc2 x - 1

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Mathematics