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: dy 2. (a) Determine in terms of x and y given that dx i. x²y + 3xy3 – x = 3 ii. sin(x? y?) = x (b)…

A: Let's find.

Q: d d. dx tan(t)dt

A: Leibnitz Rule of differentiation :     ddx ∫α(x)β(x) f(x,t) dt = ∫α(x)β(x) d(f(x,t))dxdt +dβ(x)dx…

Q: (d) What can you say about the graph of y = 4(x) for x>x*? (e) Verify that y = x – 1 is a solution…

A:

Q: On the line y = 2x + 1, what value of Δy corresponds to Δx = 3? Δy =

A: y=2x+1 We have to find ∆y corresponding to ∆x=3.

Q: 8. What is the logistic differential equation? dP = k· P 1+ dt P A K P -k · P| 1–- K * dP (B) dt dP…

A:

Q: dy 1- IF y = cos(3 cos 2x) find dx

A:

Q: 1. Given y=Vx-4. a. Evaluate dy when x= 13 and dx=0.2. %3D

A: Given y=x-4 x=13 and dx=0.2

Q: The direction field for a differential equation y = f(x,y) is shown below. Estimate, as accurately…

A:

Q: Find the linear approximation of f(x) = e(a) at a = 1.

A:

Q: Find f(x), where f'(x) = sin(x) + cos(x) + 1 and f(#)=2. %3D %3D

A: Using anti derivative formula.

Q: What does f(z) dz mean?

A: Given that: ∫f(x)dx

Q: (a)Find the differential dy of the given function y =e* tan x (b) Use the information to evaluate…

A: Differentiate wrt x

Q: 9. Find if x (t) = t + sin(t), and y(t) = t - cos(t). doe

A:

Q: 3) Is the function y(t)=cos(x(t)) linear or not?

A:

Q: r(p+ 1) := e¯²r° dr which is defined for p> -1. (a) Show that for positive p, I'(p+1) = pr°(p). (b)…

A:

Q: 7. x sin(x²) dx = Choose...

A:

Q: 1. ΔFOX ΞΔ B Ο X F

A:

Q: If r (t) = (cos(t), sin(t), 2) , then fr (t) dt %3D

A:

Q: 1. S x²+x+3 (x-2)(x+1) dx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: The spinner is expected to have to spin approximately  times for a multiple of 3 to be spun 15…

A: A spinner is divided into 8 identical sectors and labeled 1 through 8.

Q: • Find the correlation coefficients between: • x(1) = A, cos(@f) and y(t) = A, sin(@,t). • x(1) = A,…

A:

Q: The antiderivative of Cos(3x)

A:

Q: 12. Find dy for y = sec (3x). %3D

A:

Q: Differentiate the following expressions with respect to x: (i) y= (2x³-4) X+1 y = x-1 (ii) (iv)…

A: Step 1:Step 2:Step 3:Step 4:

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.