Find the value for the function.Find f(-3) when f(x) = x2 - 3x - 7.

A. 7
B. -7
C. 11
D. 25


Answer: C

Mathematics

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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)

Mathematics

Provide an appropriate response. Since i = , fractions with i in the denominator may need to be rationalized. Rationalize the denominator: 

A. i
B. -i
C. -2i
D.


Mathematics

Solve the right triangle ABC with C = 90°. Your answer should give an angle in decimal degrees when given an angle in decimal degrees and in degrees and minutes when given an angle in degrees and minutes. Use the rules for significant digits.A = 40.82°, b = 13.5 ft

A. B = 49.18°, a ? 11.66 ft, c ?17.84 ft B. B = 49.18°, a ? 11.66 ft, c ? 20.65 ft C. B = 49.18°, a ? 11.7 ft, c ? 17.8 ft D. B = 49.18°, a ? 11.7 ft, c ? 20.7 ft

Mathematics

Perform the indicated operation.  - 

A.
B. - 
C. - 
D.

Mathematics