Find all the first order partial derivatives for the following function.f(x, y) = x3 - 4x2y - 3xy3
A. = 3x2;
= -4x2 - 9xy2
B. = 3x2 - 8xy - 3y3;
= -4x2 - 9xy2
C. = x2 - 4xy - 3y3;
= -4x2 - 3xy2
D. = 3x2 + 2xy - 3y3;
= -4x2 + 3xy2
Answer: B
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The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists.
A. infinitely many solutions of the form x = -2 - 4z, y = 1 + 3z, z = z B. infinitely many solutions of the form x = -2 - 4z, y = 1 + z, z = z C. infinitely many solutions of the form x = 1 + 3z, y = -2 - 4z, z = z D. infinitely many solutions of the form x = -2 - z, y = 1 + 3z, z = z
Write the given set in interval notation and graph the set on a number line.
A.
B.
C.
D.
Where m
= 90°, the solid of revolution determined by revolving right triangle
about leg
is a right circular cone.
Answer the following statement true (T) or false (F)
Solve the quadratic inequality. Graph the solution.5x2 + 2x + 3 ? 0
A. (-?, ?)
B. no solution
C.
D.