Solve the initial value problem. = 9; y "(0) = -3, y '(0) = -3, y(0) = 5

A. y = x3 - x2 - 3x + 5
B. y = x3 + x2 - 3
C. y = 5
D. y = 3x3 - x2 - 3x + 5


Answer: A

Mathematics

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Write the system of equations that corresponds to the augmented matrix.

A.
 

B.
  

C.
 

D.
 

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A. A(-2, 0); B(-6, -4) B. A(2, 0); B(6, -4) C. A(-2, 2); B(6, -4) D. A(-2, 0); B(6, -4)

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Determine the vertex, focus, and directrix of the parabola and sketch its graph.(x + 3)2 = -16(y - 1)

A. vertex: (3, -1)  
focus: (3, -5)  
directrix: y = 3

B. vertex: (1, -3)  
focus: (1, -7)  
directrix: y = 1

C. vertex: (-3, 1)  
focus: (-3, 5)  
directrix: y = -3

D. vertex: (-3, 1)  
focus: (-3, -3)  
directrix: y = 5

Mathematics

Solve the problem.Determine whether the ordered triple (2, 9, -4) is a solution of the system of equations.2x - 5y - 9z = -5 x + y + z = 73x - y + 5z = 35

A. No B. Yes

Mathematics