State whether the following statements are true or false as x→00 (c)x-O(x+6) (g) In x-o(in 2x) (a) x- o(3x) (d) x = 0(2x) (h) yx2 + 6 =0(x) (e) e x = o(e4x) (f) 3x + Inx=0(x) (a) Is x = 0(3x) as x→ oo true or false? O False O True b) Is x = 0(x + 6) as x→ oo true or false? False O True (c) Is x-O(x + 6) as x-> oo true or false? O...
Consider an electric field E= 2x i^ - 3y j^ . The coordinates x and y are measured in meters and the electric field is in N/C. What is the magnitude of the flux of this field through a square whose corners are located at (x, y ,z) = (0, 2, 0), (2, 2, 0),(2, 2, 2),(0, 2, 2)? A) 24 Nm2/C B) 6 Nm2/C C) 48 Nm2/C D) 12 Nm2/C E) 0
Determine the x, y (lines over the letters) coordinates of the figure framed by the two lines y =2x 6 2 y =x/2 0 4 0 y =2x 6 2 y =x/2 0 4 0
Q1: Solve the ODE: f) Vyy' + y3/2-1. y(1) = 0. g) (2x +y)dx(2x+y-1)dy 0. i) dx=xy2e": y(2)=0. j) (1 + x*)dy + (1 + y*)dx = 0; y(1) = V3. Q1: Solve the ODE: f) Vyy' + y3/2-1. y(1) = 0. g) (2x +y)dx(2x+y-1)dy 0. i) dx=xy2e": y(2)=0. j) (1 + x*)dy + (1 + y*)dx = 0; y(1) = V3.
1. Let x and y represent two animal populations which satisfy (9-1-3y) y(-6 + 2x) (a) (5 points) What is the relationship between x and y? How does a grow in the absence of y? How does y grow in the absence of x? (b) (5 points) Sketch the nullclines and direction arrows of the system. (c) (4 points) Find the eigenvalues of the interior critical point. (d) (7 points) Sketch the general solution. Be detailed. (e) (4 points) Sketch...
6. Let f(x,y) = 1 if 0 < y < 2x, 0<x<1, and 0 otherwise. Find the following: a) f(y|x) b) E(Y|X = x) c) The correlation coefficient, p, between X and Y
#32 U. + 2y + y + 1 -e: y(0) = 0, y'(o) - 2 In Problems 31-36, determine the form of a particular solution for the differential equation. Do not solve. 31. y" + y = sin : + i cos + + 10' 32. y" - y = 2+ + te? + 1221 x" - x' - 2x = e' cos - + cost y" + 5y' + 6y = sin t - cos 2t 35. y" –...
Y=2x+1, find the pmf of y ,E(y) and var(y) Zhejiang University of Science and Technology 2. The joint pmf of X and Y is 2 6 0 4 0 Find the marginal distribution of Y and E(XY).
Three lines are defined by the three equations: x + y = 0 x-y=0 2x+y=1 The three lines form a triangle with vertices at: O A. (0,0),(33), 1,-1) O B. (0,0), (17 2 ) (-1,-1) o C. (1,1), (1, -1), (2, 1) O D. (1,1),(3,-3), (-2,-1) THE CORRECT ANSWER IS: A y=-x y=x -2x + 1 y=-2x +1 intersection of y=x and y=-x is (0,0) intersection of y = x and y = -2x + 1 is x = -2x...
(1 point) Solve the given initial value problem y′=2+e^(y−2x+4 ) y(0)=−4 The solution in the implicit form is F(x,y)=1, where F(x,y)= ? i had answer of this {y-ln(1/(-x+1))-2x+5}, don't know why its wrong.