Expand the expression using the Binomial Theorem.(2x + y)6
A. 2x6 + 12x5y + 30x4 y2 + 40x3y3 + 12xy5 + y6
B. 64x6 + 192x5y + 240x4y2 + 160x3y3 + 240x2y4 + 192xy5 + 64y6
C. 64x6 + 192x5y + 480x4y2 + 960x3y3 + 1440x2y4 + 12xy5 + y6
D. 64x6 + 192x5y + 240x4 y2 + 160x3 y3 + 60x2y4 + 12xy5 + y6
Answer: D
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Rotate the coordinate axes to change the given equation into an equation which has no cross product (xy) term. Identify the graph of the equation as a hyperbola, ellipse, parabola, a straight line, or parallel lines.4x2 - 12xy + 20y2 - 18x + 13y - 24= 0
A. -2u2 + 22v2 - 12.965u + 18.025v - 24 = 0; Hyperbola B. 22v2 - 12.965u + 18.025v - 24 = 0; Parabola C. 2u2 + 22v2 - 12.965u + 18.025v - 24 = 0; Ellipse D. 4u2 + 18v2 - 12.965u + 18.025v - 24 = 0; Ellipse
Find the second derivative of the function.s =
A. = 5t4 -
-
B. = 20t5 +
+
C. = 5t3 -
-
D. = 20t3 +
+
Solve, finding all solutions in [0, 2?).2 sin x cos x - 2 sin x + cos x = 1
A. 0, ,
B. 0, ,
C. 0, ,
D. No solution
Convert the rectangular equation to polar form. Assume r> 1.
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?
A.
B.
C.
D.
E.