The equation x +(y-1)* – /x² +(y+1}*| =k will represent a hyperbola for (A) k e(0,2) (B) k e(0,1) (C) k e(0,0) (D) (-x,0)

Q: Q1) L-¹ (²-1) = a) cosht -1 Q2) The general solution of y"" + 2y" -y'-2y = 0, is: 2x a) y(x) = c₁e²x…

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Q: Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. 1 O f(x) -(x –…

A: Given query is to find the equation of parabola.

Q: 8) (a) The diagram is a sketch of y = f(x). y 1 Draw separate one third page sketches of the graphs…

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Q: -10 -5 A) f(x) = 4-X 10- 5 +++> 10 X B) f(x) = -4-X C) f(x) = -4x ute the exact value of the…

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Q: Write an equation (any form) for the quadratic graphed below 4 -5 4 3 -2 -1 2 3 4 -2 -3 -4- y =

A: Consider the given graph

Q: Graph the parabola. ' y = (+ 2) (r – 6) Plot the y intercept both x intercepts and the vertex.…

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Q: Determine F'(-3i) if 522 – 4z + 3 F(a) = | - vhere C is the ellipse 16x² + 9y² = 144.

A: The given ellipse can be written as: x232+y242=1 Thus the ellipse encloses y=-3.