5/10/12 9:46 PMSection 11.3Page 1 of 5http://www.webassign.net/web/Student/Assignment-Responses/view_key?dep=3769830Current Score : 38.25 / 38.25 Due : Monday, February 27 2012 11:02 PM EST1. 1/1 points | Previous AnswersDetermine the signs of the partial derivatives for the function f whose graph is shown.(a) fx(-1, 2)(b) fy(-1, 2)(c) fxx(-1, 2)(d) fyy(-1, 2)Section 11.3 (Homework)Ali Al ZaabiMA 242, section 001, Spring 2012Instructor: J. Louis CappsWebAssignThe due date for this assignment is past. Your work can be viewed below, but no changes can be made.positive negative positive negative positivenegative positive negative5/10/12 9:46 PMSection 11.3Page 2 of 5http://www.webassign.net/web/Student/Assignment-Responses/view_key?dep=37698302. 2/2 points | Previous AnswersA contour map is given for a function f. Use it to estimate fx(2, 1) and fy(2, 1).fx(2, 1) = 2.8 2.8 fy(2, 1) = -2.1 -2.13. 4/4 points | Previous AnswersFind the first partial derivatives of the function.f(x, y) = x5 + 3x3y2 + 6xy4fx(x,y) = fy(x,y) = 4. 4/4 points | Previous AnswersFind the first partial derivatives of the function.f(x, y) = xyfx(x,y) = fy(x,y) = 5. 6/6 points | Previous AnswersFind the partial derivatives of the function.w/ r =5/10/12 9:46 PMSection 11.3Page 3 of 5http://www.webassign.net/web/Student/Assignment-Responses/view_key?dep=3769830w/ s = w/ t = 6. 2/2 points | Previous AnswersFind the indicated partial derivative.f(x, y) = sin(2x + 3y)fy(-12, 8) = 3 37. 2/2 points | Previous AnswersFind the indicated partial derivative.f(u, v, w) = w tan(uv)fv(8, 0, 9) = 72 728. 4/4 points | Previous AnswersUse implicit differentiation to find z/ x and z/ y.xyz = cos(x + y + z)z/ x = z/ y = 9. 8/8 points | Previous AnswersFind all the second partial derivatives.f(x, y) = ln(3x + 5y)fxx(x,y) = fxy(x,y) =5/10/12 9:46 PMSection 11.3Page 4 of 5http://www.webassign.net/web/Student/Assignment-Responses/view_key?dep=3769830fyx(x,y) = fyy(x,y) = 10.1.25/1.25 points | Previous AnswersLevel curves are shown for a function f. Determine whether the following partial derivatives are positiveor negative at the point P.(a) fx(b) fy(c) fxx(d) fxypositive negative positivenegative positivenegative positive negative5/10/12 9:46 PMSection 11.3Page 5 of 5http://www.webassign.net/web/Student/Assignment-Responses/view_key?dep=3769830(e) fyy11.2/2 points | Previous AnswersThe temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 54/(1 + x2 + y2), where T ismeasured in °C and x, y in meters.(a) Find the rate of change of temperature with respect to distance at the point (2, 1) in thex-direction.-6 -6 °C/m(b) Find the rate of change of temperature with respect to distance at the point (2, 1) in they-direction.-3 -3 °C/m12.2/2 points | Previous AnswersIf the following is true, find fx(0, 0).1 1
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