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- au Find : U(x1, x2) = 2X1 X2 дх2 O X1X2 2x1 2 2x2▷ Calculate Duf (2₁-4,1) in the direction of 3 = 2₁ +2²₁ +3k for the function f(x₁x₁ z) = x² + 5xy-5y²-5x +Syz -3₂² + 4xzSuppose the cost per hour incurred in operating a cruise ship is 5a + b^4v^3 dollars per hour, where a and b are positive constants and v is the ship's speed in miles per hour. At what speed (in miles per hour) should the ship be operated between two ports, at a distance D miles apart, to minimize the cost? (Hint: Minimize the cost, not the cost per hour.) V = _______mph
- Consider the difference equation = Xn+1 Xn+bsin(2xn). Determine any fixed points of this difference equation and their stability as a func- tion of the parameter b.182°F Sunny F1 ! 7 Determine the most possible complex zeros of the following function: f(x) = 3x¹ + 6x¹4 - 7x¹5 + 13x Q A Z 4 15 14 01 F2 @ 2 W S F3 X Alt # 3 E D F4 $ 4 C F5 R F % 5 V F6 T G Search ^ 6 F7 4- Y B F8 & 7 H U N F9 * 8 J 1 F10 ( M C 9 K F11 O (2) ) O < F12 P Alt & Prt Sc { CSince it's an if and only if proof, don't you have to prove "if linearly dependent, then scalar multiples" and then "if scalar multiple, then linearly dependent"?