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. (1.1, 1.1), (-1.1, 1.1), (-1.1,-1.1), (1.1,-1.1)
B. (1.3, 0.7), (-1.3, 0.7), (-1.3,-0.7), (1.3,-0.7)
C. (1.5, 0), (0, 1.5), (-1.5, 0), (0, -1.5)
D. (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)
Answer: B
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Solve the problem.Find k such that the line kx + 23y = 4 is perpendicular to the line through (5, -8) and (2, 4).
A. k = 92 B. k = 5.75 C. k = -5.75 D. k = -92
Solve the problem.On the April 5 billing date, Danielle had a balance due of $48.61 on her credit card. The transactions during the following month were: 
The interest rate on the card is 1.3% per month. Using the previous balance method, find the new balance on May 5.
A. $481.74 B. $463.24 C. $457.93 D. $25.43
Provide an appropriate response.Find the slope of a line perpendicular to the line x = 2.
A. undefined
B. 0
C. 2
D. - 
Perform the indicated operation. Simplify if possible.
+ 
A. 
B. 
C. 
D. 