Let A = {2 - 10x | x € Z} and B = {5y - 8 | Y E Z}. Show that A CB.
Let F(x,y,z) = <7x, 5y, 2z> be a vector field. Find the flux of F through surface S. Surface S is that portion of 3x + 5y + 7z = 8 in the first octant. Answer:
Let F(x,y,z) = <7x, 5y, 2z > be a vector field. Find the flux of F through surface S. Surface S is that portion of 3x + 5y + 72 = 9 in the first octant. Answer: Finish attempt
2. Let Q(x,y) be the statement "x - 2 = 5y" and let the domain for x and y be all integers. Determine the truth value of each of the following statements. Justify your answers shortly. (i) Q(-3,-1) (ii) Vx3yQ(x,y) (iii) 3xVy-Q(x,y)
10. Given a system of equations x + y + z = 200 4x + 5y + 72 = 1000 x – 2y = 0 (a) Using what you learned so far in your major, give an example of how this system of equations can be applied. (b) Without a calculator, please solve the system of equation.
a - e (a) X + y +z = 11 X – Y – 2= -3 -2 + y - 2 = 5 (3x – y + 2z = 2 (b) x+y+z+t+p=17 X - Y - 2-t-p= -5 z +t+ p + y = 11 p - x - y = 1 -t + x = 10 (c) x +y + 2+t= -6 X - Y - 2 -t = 20 y - X=-39 2x + 3t + y -...
Let X, Y Geometric(p) be independent, and let Z a. Find the range of 2. b. Find the PMF of Z c. Find EZ. Let X, Y Geometric(p) be independent, and let Z a. Find the range of 2. b. Find the PMF of Z c. Find EZ.
Convert the rectangular coordinate equations to equations in cylindrical coordinates 33.(a) z=x^2+y^2-3x (b) x=3 34. (a) Z=3x^2+3y^2 (b) y=2 35. (a) z=x^2+5y^2 (b) x+y+z=5 36. (a) y=x^2 (b) x+5y=z
4. Let A, X, Y, Z be normed vector spaces and B :X XY + Z be a bilinear map and f: A+X,g: A → Y be mappings that are differentiable at co E A. Show that the mapping 0 : A+Z, 2# B(f(x), g(x)) is differentiable at zo and that do (20)[h] = B(df (20)[h], g(20) + B(f(20), dg(20)[h]) (he A).
Problem 3 (10 pts). Let f(x)-δ(z + a) + δ(z-a); Ict r(z) and h(z) be functions de- scribed in Fig. 2 below. As discussed in class, one can show thatof(u)r u)du Assume that f(x) and h(x) are known but r(x) has been lost. Recover r(x) f(x) r(x) h(x) co 1f -bl b -a FIG. 2: This refers to Problem 3.