Find the vertices of the hyperbola.9x2 - 25y2 - 90x - 200y - 400 = 0

A. (5, -1) and (5, -7)
B. (-5, 7) and (-5, 1)
C. (0, -4) and (10, -4)
D. (-10, 4) and (0, 4)


Answer: C

Mathematics

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Integrate the given expression.dt

A. 6t3 - 5t2 + 4t + C
B. 12t3 - 5t2 + 4t + C
C. 24t - 5 + C
D. 4t3 - t2 + 4t + C

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Use Newton’s method and x1 = ?1 to find an approximate solution of ?2cos x = x + sin x .

What will be an ideal response?

Mathematics

Simplify.-4

A. -81mn
B. - 
C. 81
D.

Mathematics

A certain calling card costs 6.8 cents per minute to make a call, rounded up to the nearest minute. However, when the card is used at a pay phone, there is an additional 68 cent connection fee. If  is the charge from a pay phone for a call lastingtminutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent.

  ? A. $0 B. $0.68 C. $0.75 D. $0.82 E. does not exist

Mathematics