Use this information for problems 1 through 4 The joint pdf for X and Y is: x+y? x = 1,2,3 and y = 1,2,3 fxy 60 3. What is P(X > Y)? (a) 를 (b) 15 (c) (d) 2% 30 4. U = X – Y. What is P(U = 0)? %3D (a) 를 (b) 15 (c) (d) 20

Q: iscuss the relationship between differentiability and continuity in a short paragraph.

A:

Q: E Example 4: Find the value of x. ={(2x – 4) ((2x-4) 9 = V. U 9. 2х-4 D

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Q: L, sgn(x+ 1) dx = 1. 0 2. 2 3. -2 4. 1

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Q: Evaluate. x? + x – 3 dæ Preview %3D

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Q: 1. Simplify the following. a. f(x) =2x - 3 -2(5x-4) b. f(x) = (4x 2 - 5) +(-2x²+3x-5) c. A(r) -…

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Q: 2. 4 (Inx) dx

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Q: Find 1 (45x+6) d dx

A: dxndx=nxn-1  and  d(constant)dx=0dlnxdx=1xlnxn=nlnxlet  y=45x+6

Q: Complete the following worksheet and then use it to calculate the coefficient of determination. (9₁…

A: ixiyi1502019.3698.61812.7212502119.3698.61820.8543551918.4093.9036.58845519.518.4093.9039.40456020.5…

Q: 4. Evaluate (x² – 4x+ 7) dæ by hand.

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The…

Q: Complete the following worksheet and then use it to calculate the coefficient of determination. (9,-…

A: ixiyi115160175.4862.208196213.5220197.774565.2032116316.5140153.197432.7651156414.5190182.91579.4772…

Q: Sor's Evaluate e" 2e* 5e dx

A: The given integral is ∫ex2ex5ex dx

Q: proke that lose ch?e %3D (0nsiden

A: To prove that Cosech^2x=coth^2x-1

Q: Find grad f.

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Q: If y = e-3x, then y =

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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.