For Exercises 23-28, a. Determine an acute angle of rotation to eliminate the x y -term . (See Example 4) b. Use a rotation of axes to eliminate the x y -term to write the equation in the form A ' x ' 2 + C ' y ' 2 + D ' x ' + E ' y ' + F ' = 0 . c. Identify the type of curve represented by the equation. d. Write the equation in standard form and sketch the graph. x 2 + 2 3 x y + 3 y 2 − 8 3 x + 8 y = 0
For Exercises 23-28, a. Determine an acute angle of rotation to eliminate the x y -term . (See Example 4) b. Use a rotation of axes to eliminate the x y -term to write the equation in the form A ' x ' 2 + C ' y ' 2 + D ' x ' + E ' y ' + F ' = 0 . c. Identify the type of curve represented by the equation. d. Write the equation in standard form and sketch the graph. x 2 + 2 3 x y + 3 y 2 − 8 3 x + 8 y = 0
Solution Summary: The author explains how to eliminate the xy term by rotating the equation at an angle of 60°.
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
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