Transform the equation to a form without an xy-term by a rotation of axes. Graph the curve.x2 + 2xy + y2 - 8x + 8y = 0

A.


B.

C.

D.


Answer: D

Mathematics

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Use Taylor series to evaluate the limit.

A. -2 B. 0 C. 2 D. 1

Mathematics

Solve the problem.A carpenter is building a rectangular room with a fixed perimeter of   What are the dimensions of the largest room that can be built? What is its area?

A. 30 ft by 90 ft; 2700 ft2 B. 60 ft by 60 ft; 3600 ft2 C. 30 ft by 30 ft; 900 ft2 D. 12 ft by 108ft; 1296 ft2

Mathematics

Solve the equation. Write the answer in a + bi form.x7 - x = 0

A. -1, 0, 1, -1 ± i, 1 ± i
B. -1, 0, 1, -1 ± i, 1 ± i
C. -1, 0, 1, 
D. -1, 0, 1, 

Mathematics

Use an identity to write the expression as a single trigonometric function or as a single number.

A. cot 13° B. tan 13° C. sin 13° D. cos 13°

Mathematics