Show all work please! 1. Find the directional derivative of f(x, y) = x'y at (1, -3) in the direction of - 2i + j. a. 13 13 b. 15 11 c. d. V5 - 11 None of these e.
3. Find nonnegative numbers x and y, x+y=90, such that xy is maximized. 4. (Revenue) A local club is arranging a charter flight to Hawaii. The cost of the trip is $1600 each for 90 passengers, with a refund of $10 per passenger for each passenger in excess of 90. (a) Find the number of passengers that will maximize the revenue received from the flight. (b) Find the maximum revenue.
d) Let F(x, y)-xy'+x'y. a) 2. Construct a truth table for F. ND, OR, and NOT gates. b) Design a circuit with inputs x and y to implement F(x, y) using only AND, OR c) Use DeMorgan's law to find the complement of F, ie, find F'(x, y). d) Show that F'(x,x)-1.
Which expression below is equivalent to F(X,Y,Z) = ((X'Y)'(XY)'(YZ')')' a. X'YZ' b. X'YZ + X'Y'Z c. X'Y + XY + YZ' d. X'Y + XY'Z'
F(w,x,y,z) = w'x+w'z'+x'y' a) Give which MAXterms are present for the function:
(solve) > Implement the boolean function F(x,y,z) = xy + x'y + yz write all the steps and identify the law rule
Use Boolean algebra to prove that wz, + wX + y'z + x'y (w' + x' + y' + z')(w + x + y + z)
I need normal stress x' and y'. I also need sheer stress x'y' Determine the equivalent state of stress if an element is oriented 57.8 clockwise from the element shown in (Figure 1). Figure < 1 of 1 65 ksi
Make x the subject of y -In (3 + e*) x=(y-In 3)/ 2 X(ey 3)/2 x-y/ (2 In 3) x [In (3 - ey)]/ 2 x=ln (Vey-3) which of the following could represent a function, 1f (x,y), with first-order partial derivatives af/ax Xy (x'y +3) x'y 3x-y-6 x (xy + 3) on se the reduced form of a macroeconomic model is Y- (b +I* + G* - aT*)/ (1- a - at) where t is the marginal rate of taxation....
2 + COS- 2.ry dy d 1+y2 = y(y + sin x), 7(0) = 1. 3. [2cy cos(x+y) - sin x) dx + x2 cos (+²y) dy = 0. 4. Determine the values of the constants r and s such that (x,y) = x'y is an Integrating Factor for the following DE. (2y + 4x^y)dr + (4.6y +32)dy = 0. 2. C = -1 You need to find the solution in implicit form. 3. y = arcsin (C-cos) 4. r=...