Find the vertices and foci for the ellipse. : y² = 4 - 2x²


Mathematics

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Give the appropriate form of the partial fraction decomposition.

A.  +  +  
B.  +  
C.  +  
D.  +  +  

Mathematics

Provide an appropriate response.What is the difference between the indefinite integral and the definite integral?

What will be an ideal response?

Mathematics

Solve the equation f(x) = 0 analytically and then use the graph of y = f(x) to solve the inequalities f(x) < 0 and f(x) = ln(x + 1)

A. {0}; (-1, 0); [0, ?) B. {2}; (2, ?); [1, 2) C. {2}; (1, 2); [2, ?) D. {0}; (0, ?); [-1, 0)

Mathematics

Multiply the polynomials using the special product formulas. Express the answer as a single polynomial in standard form.(x - 4)3

A. x3 - 4x2 + 24x - 64 B. x3 - 12x2 + 48x - 64 C. x3 - 12x2 + 24x - 64 D. x3 - 12x2 + 12x - 64

Mathematics