Subtract.-140 - (-31)
A. 109
B. 171
C. -171
D. -109
Answer: D
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Answer the question.The graph below shows the level curves of a differentiable function f(x, y) (thin curves) as well as the constraint g(x, y) = 
- 
= 0 (thick circle). Using the concepts of the orthogonal gradient theorem and the method of Lagrange multipliers, estimate the coordinates corresponding to the constrained extrema of f(x,y).
A. (1.3, 0.7), (-1.3, 0.7), (-1.3,-0.7), (1.3,-0.7) B. (1.5, 0.2), (0.7, 1.3), (-1.5, 0.2), (-0.7, 1.3), (-1.5, -0.2), (-0.7, -1.3), (1.5, -0.2), (0.7, -1.3) C. (1.1, 1.1), (-1.1, 1.1), (-1.1,-1.1), (1.1,-1.1) D. (1.5, 0), (0, 1.5), (-1.5, 0), (0, -1.5)
Use l'Hopital's Rule to evaluate the limit.
A. 1
B. 
C. 
D. ?
Simplify. Be sure to rationalize the denominator. Assume that all variables represent positive real numbers.
A. 
B. 
C. 
D. 
Provide an appropriate response.If f(x) = 
and g(x) = x2 - 7, then f(g(7)) =
A. 81.
B. 
.
C. 
.
D. 84.
E. -3.