Make up a function F: R^3 -> R^3, [f1(x,y,z); f2(x,y,z); f3(x,y,z) ] and compute its gradient....
If F1 = 290 N, F2 = 440 N, F3 = 580 N, resolve each force acting on the post into its z and y components. (Figure 1)
Given the Function F1(w, x, y, z) and F2(x0, x1, y0, y1), write the truth table for each function. F1(w, x, y, z) - Specified by the lab instructor F2(x0, x1, y0, y1) is a two bit adder. The function F2(x0, x1, y0, y1) has 3 outputs - 2 bits for the sum and 1 bit for the carry out Cout 3. Given the Function F1(w, x, y, z) and F2(x0, X1, yo, yı), write the truth table for each...
Computer architecture Having the next Boolean functions: F1(x,y,z)-П (1, 3, 5) . F2(x,y,z)-Σ (0, 2, 4, 5) . 1. Make one logic gate design circuit, using AND, OR and NOT logic gates (20 points). 2. Design two 4-to-1 selectors, one for each Boolean function (20 points) 3. Design one 3-to-8 decoder to solve both Boolean functions (20 points) 4. Design a 8x2 ROM to solve both Boolean functions (20 points) 5. Design a 3x5x2 PLA to solve both Boolean functions...
-n ', S Let f(x,yZFz2_xy. Let v=<1,1,1>. Let point P=<2,1,3> a. Compute gradient of fx,y,z) b. If the contours are far apart, is the length of the gradient large or small? Answer: Explain! What MATLAB command is used to draw the gradient vectors? Answer: - c. Compute the directional derivative in the direction of v. d. Compute the equation of the tangent plane to f(x,y,z) at the point P. e. Use the chain rule to compute r if x t2,...
What is the gradient of the function f(x,y,z) = 5x^2 + 2y^3 + 7z^4 + xyz ?
multivariable calculus please write clearly Prob. 3 (a) (10 points) Let f(x, y, z) = cos(x2) + xey2 – 2x²y?. Compute V.Of. (b) (10 points) Evaluate x² + y² + 2² <9, 220. 32 + y2 + z2 dV, where is the upper hemisphere
8 pts Question 3 Consider the function f(x,y, 2)(x 1)3(y2)3 ( 1)2(y2)2(z 3)2 (a) Compute the increment Af if (r,y, z) changes from (1,2,3 (b) Compute the differential df for the corresponding change in position. What does (2,3,4) to this say about the point (1, 2,3)? ( 13y2)3 ( 1)2(y 2)2(z 3)2 with C (c) Consider the contour C = a constant. Use implicit differentiation to compute dz/Ox. Your answer should be a function of z. (d) Find the unit...
3 a. Compute the volume of the function, given that f(x,y)=(:1² + y2 in the following region e={(x,y):-asxsa,0s ysta –r?} b. Compute Volume of the function f(x, y) = 3x y22 in the following region Q ={(x,y,z):-15.453, 15 y S4,05252}
With the following Boolean function f1(x, y, z) = xy+yz+xz draw the components of a 3-LUT …..Be sure to label all of the components including least significant bit and most significant bit of the MUX select lines and number its inputs How many different functions can be generated by a 3-LUT function generator?
(1) Let G(,y, z) = (x,y, z). Show that there exists no vector field A : R3 -> R3 such that curl(A) Hint: compute its divergence G. (2) Let H R3 -> R3 be given as H(x,y, z) = (1,2,3). Find a vector potential A : R3 -> R3 such that curl(A) smooth function = H. Show that if A is a vector potential for H, then so is A+ Vf, for any f : R5 -> R (3) Let...