Pxyxy)| x=0x=1x=2 4. Assume the joint PMF given in Problem 1. 0.09 0.22 y= 1 y%3 2 0:29 0.06 0.15 0.19 (a) Find the correlation of X and Y. (b) Find E[X]. (d) Find the covariance of X and Y. (c) Find E[Y].

Q: 2) y In(y) dx + (1+x²) dy = 0

A: Given: ylnydx+(1+x2)dy=0⇒y lny dx = -(1+x2 ) dy⇒dx(1+x2) = -1ylnydylet lny =t

Q: If g(æ) = sin(t³) dt. calculate g' (x).

A: Follow the steps.

Q: dy y2cosx Solve the D.E. dx y(0) = 1. 1+y %3D

A:

Q: =y-2y³, y(0) = 1. dt get to translate back to the desi

A:

Q: 1.11 Determine if the following equations are linear or nonlinear: a. y = 4 15x 3 b. y = 3x X c. y =…

A: We have to determine following equation is linear or not. Note:- These are multiple sub parts we can…

Q: Find dy for the given values of x and Ax. y = 3x-2x; x= -2; Ax= 0.5 What is the derivative of y? dy…

A: Given: y=3x3-2x

Q: 5 If y = dy then dx %3D x+1

A: Given that: y=xx+15

Q: Which of the following is true if 2x y = 5 + "e* dt a. and y(1) = 5 e dx O b. dy 2eAx and y(0) = 5…

A: Explanation of the answer is as follows

Q: 12. G(T) Jtan r G(x) = | ; dt et +3 tan x

A: Given,  G(x)=∫tan x1etet+3dt

Q: A particular physical quantity y is given by y=[1+xsin(3t)]* as a function of the input parameter x…

A:

Q: If y(u) = Cos v -dv then y'(u) =

A:

Q: 1. Let x = 1.442 and y = 1.450. Compute the relative error in x O y = fl(Fl(x) – fl(y)) using…

A: Given - Let x = 1.442 , y = 1.450  To find - Compute the relative error in x⊝y = flflx - fly using…

Q: 3. Display an argument to show that the Gamma Function is defined for s> 0. T(s) = f e-¹4³-1 dt. 0

A:

Q: tationary points of (b) v In x - x

A:

Q: dy 4. x2 + y? = dr xy (Bernoulli DE) %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: А. dy (1,1) = 1 dx dy (1,1) = -1 dx B.

A:

Q: ey - x+y = 10

A:

Q: πT 3. RVS X,Y with pdf f(x,y) = c sin(x + y), 0 < x,y < 2 Marginal pdfs and correlation coefficient…

A:

Q: dy 4 dx Choose... dy X-%-y+xtan dx Choose.. dy (x² (r*+1)+(v* +1) = 0 dx Choose... dy y =sin x…

A:

Q: 3. Use the phase plot for dy g(y) to identify the equilibria (if any) and their dt corresponding…

A: Step:-1 Given that dydt =gy and graph is Using above graph, we can see the graph touches and cuts…

Q: Pxx(x.y) x=0 x=1 x=2 0.09 0.22 | 0.29 0.06 0.15 | 0.19 _y = 1 y= 2 4. Assume the joint PMF given in…

A: Given:         X         0 1 2 Total   1 0.09 0.22 0.29 0.6 Y 2 0.06 0.15 0.19 0.4…

Q: Q1: answer about the following questions brainly. B:find y' y= In(e-4x)

A: y = ln ( e^4x) find y'

Q: Q.69 Equation of the line normal to function f(x) = (x-8)2/3 + 1 at P(0, 5) is

A:

Q: - Draw the phase of:- diagram メ-Kメ=o」 No tce X dtz *- dx dt

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.