The ellipsoid 8x² + 3y² + z² = 14 intersects the plane y = 2 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (1, 2, 2).
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Mathematics
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Sketch the graph and show all relative extrema and inflection points.y = 10x2 + 60x
A. 
Relative minimum: (-6,-60)
No inflection points
B. 
Relative minimum: (3,-90)
No inflection points
C. 
Relative minimum: (-3,-90)
No inflection points
D. 
Relative minimum: (6,-60)
No inflection points
Mathematics
Solve the problem.Suppose that the function y = f(x) is increasing on the interval (2, 5). Over what interval is the graph of 
increasing?
A. (11, 14) B. (18 , 45) C. (-7, -4) D. (2, 5)
Mathematics
Find the assessed value for the property.Fair market value:$159,000Rate of assessment:40%
A. $95,400 B. $636,000 C. $63,600 D. $31,800
Mathematics
Find the logarithm using the change-of-base formula.log8 51.92
A. 0.5265 B. 1.7153 C. 6.4900 D. 1.8994
Mathematics