Multiply to find the exact answer. Express the answer as a whole or mixed number when possible and simplify.1
? 
A. 1
B. 
C. 4
D. 
Answer: B
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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. (1.5, 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) B. (1.1, 1.1), (-1.1, 1.1), (-1.1,-1.1), (1.1,-1.1) C. (1.5, 0), (0, 1.5), (-1.5, 0), (0, -1.5) D. (1.3, 0.7), (-1.3, 0.7), (-1.3,-0.7), (1.3,-0.7)
Solve the problem.Two friends are planning to meet between 2:00 pm and 3:00 pm. They agree that whoever arrives first will wait only 10 minutes and then leave. Letting 0 represent 2:00 and 60 represent 3:00, graph the possible times when the friends will actually meet and when their total arrival time (i.e. time between 2:00 and the arrival time for each) is less than 10 minutes.
A. 
B. 
C. 
D. 
Solve the equation.0.2(9 + t) = 4.2t + 0.8
A. 0.45 B. 0.05 C. 1.05 D. 0.25
Provide an appropriate response.On a multiple choice test, each question has 6 possible answers. Prove by induction that the number of different ways of completing a test with n questions is 6n.
What will be an ideal response?