By using a graphing utility select the correct graph of the polar equation. Identify the graph.
?

?

A. ?


Hyperbola


B. ?


Hyperbola


C. ?


Hyperbola


D. ?


Hyperbola


E. ?


Hyperbola



Answer: B

Mathematics

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For the curve r(t), write the acceleration in the form aTT + aNN.r(t) = (t + 6)i + (ln(cos t) - 1)j + 9k

A. a = (-sec t tan t)T - (sec t)N  B. a = (sec t tan t)T + (sec t)N  C. a = (-sec t tan t)T + (sec t)N  D. a = (sec t tan t)T - (sec t)N 

Mathematics

Write the sentence as an equation. Use x to represent "a number."Nine times the sum of a number and -45 is 27.

A. 9[x + (-45)] = 27 B. 9 + x + (-45) = 27 C. 9x + (-45) = 27 D. x + 9(-45) = 27

Mathematics

Use the figure to find the specified vector.Find a - b.

A.
B.
C.
D.

Mathematics

Solve the problem.The population of a small town can be modeled by P = -32t + 13,500, where t is the number of years since 2010. Interpret the P-intercept of the graph of this function.

A. The population of the town was 13,500 in 2010. B. The population of the town is decreasing by 32 people per year. C. The population of the town was 32,000 in 2010. D. The population of the town is increasing by 32 people per year.

Mathematics