Identify the equation as representing either a circle, a parabola, an ellipse, or a hyperbola.8x2 - 4y2 = 4
A. Circle
B. Hyperbola
C. Ellipse
D. Parabola
Answer: B
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Find all the second order partial derivatives of the given function.f(x, y) = cos xy2
A. fxx(x, y) = y2 sin xy2; fyy(x, y) = 2[2y2 cos (xy2) - sin (xy2)] ; fyx(x, y) = fxy(x, y) = 2y[y2 cos (xy2) - sin (xy2)]
B. fxx(x, y) = -y4 cos xy2; fyy(x, y) = - 2x[2xy2 cos (xy2) + sin (xy2)]; fyx(x, y) = fxy(x, y) = - 2y[xy2 cos (xy2) + sin (xy2)];
C. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2[ sin (xy2)- 2y2 cos (xy2)] ; fyx(x, y) = fxy(x, y) = 2y [sin (xy2)-y2 cos (xy2)]
D. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2y
; fyx(x, y) = fxy(x, y) = 2
Find the exact value by using a half-angle identity.sin 
A. 
B. 
C. 
D. 
Graph the quadratic function using its vertex, axis of symmetry, and intercepts.f(x) = -x2 + 6x - 5
A. vertex (3, 4)
intercepts (5, 0), (1, 0), (0, -5)
B. vertex (-3, 4)
intercepts (-5, 0), (- 1, 0), (0, -5)
C. vertex (-3, -4)
intercepts (-5, 0), (- 1, 0), (0, 5)
D. vertex (3, -4)
intercepts (5, 0), (1, 0), (0, 5)
Divide.
A. 956 B. 966 R 36 C. 946 D. 961 R 28