2 If f(x,y) = tan-1 xy then the value f(0.9, -1.2) is
1.) Let f(x, y, z) = xy?z3 – sin(xy) +erz? – tan(y, 3. Determine the following. (a) e (b) (c) azonos
2. Find the average value of the function f(x,y) y 2. (Sketch the region.) 1/, y xy over the region bounded by y x, and 2. Find the average value of the function f(x,y) y 2. (Sketch the region.) 1/, y xy over the region bounded by y x, and
1. 2. Find the maximum and minimum value of f(x,y) = x² ty? - xy +1 on the triangles region R with vertices (0,0), (2,), (0, 2)
Consider z-f(x,y)-1-xy cos(xy) at (2,-1/2) variations in x and y respectively. and let ΔΧ and ây represent small a) (i) Compute ΔΖ, given that ΔΧ_ 0.028 and Δy_-0.039. 1 1 6DP Az 5DP ii) Write out an expression for dz in terms of x,y and d, dy. dz= 2 (iii) Compute dz assuming dr_Δι and dy_ây dz- 5DP b) Use the equation of the tangent plane to z at (2,-1/2) to approximate Approximate value = 1 5DP Consider z-f(x,y)-1-xy cos(xy)...
Show that tan(x) – 1 2. Let y = sec(x) 1 + tan(x) y' sec(x) 3. Find all x-values where the graph of f(x) = x – 2 cos(x)has a horizontal tangent line.
2. The force F(x, y) = (y + 2x) sin(xy + x)i + x sin(xy + x2) is conservative. (a) Find a potential V such that F = -VV. [2 marks] (b) Is F central? Provide a reason for your answer. [2 marks]
Please describe the contour map and list important aspects of it, thanks! Let f(x,y) -2(xy 1) be a scalar function in R2. a) Find the vector field F(x, y) for which f(x, y) is a potential function, b) c) sketch a contour map of f (x, y) and, on the same figure, sketch F(x,y) (on R2). Comment on any important aspects of your sketch. Let f(x,y) -2(xy 1) be a scalar function in R2. a) Find the vector field F(x,...
Consider the function given below, F = (X+Y)(X + XY)2 + X(Y + 2) + XY + XYZ (a) Simplify the given function to its Sum of Products. (b) Draw gate-level schematic of simplified F function. (c) Realize this function with CMOS transistors and draw transistor-level schematic.
Let f(x,y) = (1+xy)/4, if |x|<1 and |y|<1 and f(x,y) = 0, otherwise be the joint probability density function of (X, Y ). (a) Are X and Y independent? (b) Are X2 and Y 2 independent?