Use the total differential dz to approximate the change in z as (x, y) moves from P to Q. Then use a calculator to find the corresponding exact change ?z (to the accuracy of your calculator).x2 + xy - y2; P(2, 2), Q(2.02, 1.97)
A. dz = 0.18; ?z = 0.1789
B. dz = 0.18; ?z = 0.1801
C. dz = 0.24; ?z = 0.2391
D. dz = -0.40; ?z = -0.396
Answer: A
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Solve the problem.Find the inflection points (if any) on the graph of the function and the coordinates of the points on the graph where the function has a local maximum or local minimum value. Then graph the function in a region large enough to show all these points simultaneously. Add to your picture the graphs of the function's first and second derivatives.y = x3 - 15x2
What will be an ideal response?
Find the area of the specified region.Inside the circle r = 
sin ? and outside the cardioid r = 1 + cos ?
A. 
B. 
C. 
D. 
Find the foci of the ellipse whose equation is given.9(x - 2)2 + 16(y + 2)2 = 144
A. foci at (- 
, -2) and (
, -2)
B. foci at (2 + 
, -2) and (2 - 
, -2)
C. foci at (-2 + 
, 2) and (-2 - 
, 2)
D. foci at (2 + 
, 2) and (2 - 
, 2)
Determine algebraically whether the function is even, odd, or neither.f(x) = 4x3 - 9
A. even B. odd C. neither