Answer the question.If (a,b) is a critical point in the interior of the domain of f(x,y) and if
then f has a local minimum at (a,b) if(i) H > 0 and fxx(a,b) > 0.(ii) H > 0 and fxx(a,b) < 0.(iii) H < 0.
A. Only (iii) is correct.
B. (i), (ii), and (iii) are all incorrect.
C. Only (i) is correct.
D. Only (ii) is correct.
Answer: C
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Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.r sin ? = 4
A. x = 4; vertical line 4 units
to the right of the pole
B. y = -4; horizontal line 4 units
below the pole
C. x = -4; vertical line 4 units
to the left of the pole
D. y = 4; horizontal line 4 units
above the pole
Add the real numbers. Write any improper fraction as a whole or mixed number where appropriate.14.957 + (-16.31)
A. -1.353 B. -31.267 C. -1.453 D. -32.267
Multiply.(6 - 6i)(5 + 7i)
A. -42i2 + 12i + 30 B. 72 + 12i C. 72 - 12i D. -12 - 72i
Find a polar equation for the conic. A focus is at the pole.e = ; directrix is perpendicular to the polar axis 4 to the left of the pole
A. r =
B. r =
C. r =
D. r =