Find the extreme values of the function subject to the given constraint.
A. Maximum: none; minimum: 
at 
B. Maximum: none; minimum: 
at 
C. Maximum: none; minimum: 
at 
D. Maximum: none; minimum: 
at 
Answer: D
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Find all the second order partial derivatives of the given function.f(x, y) = (x2 + y2)7
A. fxx(x, y) = 168x2(x2 + y2)5 + 14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6; fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)6 + (x2 + y2)7 B. fxx(x, y) = 168x2(x2 + y2)5 + 14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6; fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)5 + (x2 + y2)6 C. fxx(x, y) = 168x2(x2 + y2)5 + 14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6; fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)5 + 14(x2 + y2)6 D. fxx(x, y) = 168x2(x2 + y2)5 + 14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6; fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)5 + 14xy(x2 + y2)6
Find the focus and directrix of the parabola.x2 = -8y
A. (0, -2); y = -2 B. (-2, 0); y = 2 C. (0, -2); y = 2 D. (0, -2); x = 2
Use a calculator to find the sum. Round the result to two decimal places.687.92 + (-80.91)
A. -607.01 B. 768.83 C. 607.01 D. 607.92
For the given correspondence, write the domain and the range. Then determine whether the correspondence is a function.{(-5, -6), (2, 6), (1, 1), (-5, 7), (10, -2)}
A. domain: {-6, -2, 1, 6, 7}, range: {-5, 1, 2, 10}; Yes, it is a function. B. domain: {-5, 1, 2, 10}, range: {-6, -2, 1, 6, 7}; Yes, it is a function. C. domain: {-6, -2, 1, 6, 7}, range: {-5, 1, 2, 10}; No, it is a not a function. D. domain: {-5, 1, 2, 10}, range: {-6, -2, 1, 6, 7}; No, it is a not a function.