Find the coordinates of the vertices and foci of the ellipse.100x2 + 36y2 = 3600

A. V(0, -10), V(0, 10), F(0, -8), F(0, 8)
B. V(0, -10), V(0, 10), F(-6, 0), F(6, 0)
C. V(-10, 0), V(10, 0), F(-8, 0), F(8, 0)
D. V(-10, 0), V(10, 0), F(0, -6), F(0, 6)


Answer: A

Mathematics

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A. ln 
B. ln 
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D. ln 

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Find all the first order partial derivatives for the following function.f(x, y) = x3 - 7x2y - 3xy3

A.  = 3x2 + 2xy - 3y3 = -7x2 + 3xy2
B.  = x2 - 7xy - 3y3 = -7x2 - 3xy2
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D.  = 3x2 - 14xy - 3y3 = -7x2 - 9xy2

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Solve. x + y + z = 9 x - y + 4z = 174x + y + z = 18

A. (4, 3, 2) B. (3, 2, 4) C. (4, 2, 3) D. No solution

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Solve the problem.A projectile is fired straight upward. The function  describes the height of the projectile, f(t), in feet, t seconds after firing. Factor the polynomial  and write the function in factored form. Use the factored form of the function to find f(2).

A. f(t) = -8t(2t - 7); 48 ft B. f(t) = -8t(2t - 7); 80 ft C. f(t) = t(-16t + 56); 48 ft D. f(t) = t(-16t + 56); 80 ft

Mathematics