Solve the system analytically.x - y + z = -1x + y + z = -9x + y - z = -3
A. {(-3, -2, -4)}
B. {(-2, -4, -3)}
C. ?
D. {(-2, -3, -4)}
Answer: B
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Use reduction formulas to evaluate the integral.
A. sin 4x -
sin3 4x + C
B. sin 4x +
sin3 4x + C
C. sin 4x -
cos3 4x + C
D. 5 sin 4x - sin3 4x + C
Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5
A. = yex2(1 + 2x2);
= x;
=
= y + xex2
B. = 2yex2;
= 2x;
=
= 2y + 2xex2
C. = 2yex2(1 + 2x2);
= 2x;
=
= 2y + 2xex2
D. = 2yex2;
= 2x;
=
= 2xex2
Special products can be illustrated by using areas of rectangles. Use the figure to justify the special product
What is the sum of the monomials of the black, white, and gray rectangles?
A. a2 + 2ab + b2 B. a2 + 2b2 C. 2a + 2ab + b2 D. 2a2 + b2
Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.f(x) = 3x2 - 6x
A. minimum; 1 B. maximum; 1 C. minimum; - 3 D. maximum; - 3