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
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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
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
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. -
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)