Find all points where the function has any relative extrema or saddle points and identify the type of relative extremum.f(x, y) = x2 + y2 - 4x - 2y

A. Relative minimum at  and saddle point at (0, 0)
B. Relative minimum at 
C. Saddle point at 
D. No relative extrema or saddle points


Answer: B

Mathematics

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Solve the problem.The temperature on a December morning is -9°F at 6 a.m. If the temperature drops 3°F by 7 a.m., rises 9°F by 8 a.m., and then drops 2°F by 9 a.m., find the temperature at 9 a.m.

A. 5°F B. -23°F C. 23°F D. -5°F

Mathematics

Solve the problem.The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 21 minutes requires 14.7 gallons of water. Find the amount of water used in a shower lasting 11 minutes.

A. 231 gal B. 8.4 gal C. 7.7 gal D. 7 gal

Mathematics

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t.(- , - )Find cot t.

A.
B.
C. - 
D. - 

Mathematics

Solve the system by either elimination or substitution. Verify your work by using "intersect" on your graphing calculator of by checking that your result satisfies both equations of the system. -  = 0 -  = 0

A. (8, 10)
B. empty set solution; inconsistent system
C. all points on the line  = ; dependent system
D. (10, 8)

Mathematics