Find ?y and f '(x) ?x for the given function.y = f(x) = x + x2, x = 3, and ?x = 0.03
A. 0.2109; 0.168
B. 0.21; 0.168
C. 0.2109; 0.21
D. 0.2109; 0.25308
Answer: C
Mathematics
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Verify that the curve r(t) lies on the surface. Give the name of the surface.r(t) = (2t cos t)i + (2t sin t)j + 2t k; x2 + y2 = z2
A. 4t2cos2t + 4t2sin2t = 4t2; hyperboloid B. 4t2cos2t + 4t2sin2t = 4t2; ellipsoid C. 4t2cos2t + 4t2sin2t = 4t2; paraboloid D. 4t2cos2t + 4t2sin2t = 4t2; elliptic cone
Mathematics
Simplify the given expression. Express answer with positive exponents.
0
A. 1
B. 
0
C. 
D. 0
Mathematics
The graph of a function f is given. On the same axes, sketch the graph of f-1. 
A. 
B. 
Mathematics
Give a formula for a piecewise-defined function f for the graph shown.
A.
f(x) = 
B.
f(x) = 
C.
f(x) = 
D.
f(x) = 
Mathematics