Suppose an urn contains red, green, blue, and black marbles. Suppose you draw marbles from the urn 5 times, replacing the marble each time, and count how many of each color you get. How many possible outcomes are there? Justify your answer.

Q: DA z(t) y(t) = 3 2] [*] (0) = -3, 5(0) = 15 D -30-12

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Q: Let m be an odd positive integer. Then we have (-)-(-1) and 3 N 2 m = (-1) ™³²-¹.

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Q: EXERCISE 3 Find the general solution of the differential equation y"" - 4y" + 5y' — 2y = 0, y =…

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A: 2.(i) we see, (1/4, 4) ≠ (1/2, 2)       but m(1/4, 4) = (1/4)×4 = 1             m(1/2, 2) = (1/2)×2…

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A: Given, a) If T:ℝn→ℝm is a linear transformation such that, Te1=a11a21...am1TTe2=a12a22...am2T…

Q: For which real number a, the solution of the Initial Value Problem da dt x (0) = 1 is such that x(2)…

A: The Initial Value Problem is given by:  dxdt=axtx(0)=1 We have to find the value of a such that:…

Q: use cylindrical coordinates to find the mass of the solid Q of density ρ.

A: use cylindrical coordinates to find the mass of the solid Q of density ρ.

Q: 12. 13. 14. 15. 16. 17. 19. 21. 22. 23. 24. 25. 27. 28. (-1, 4), (1, 3), (3, 0) (-4, 2), (-3, 1),…

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Q: 6. If x ≥ 4, y ≥ 2, how many non-negative integer solutions are there to the equation x+y+z+w = 19 ?

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Q: Given that V₁ = [₁2] and [] ₂ = are eigenvectors of the matrix A = ^-1|18 -7/20 10

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Q: Consider the two power series Σ f(x) = x + n=0 (3x)2n+1 (2n + 1)! 8 (x + 1)" g(x) = Σ 3 n ln(n) n=2…

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Q: How many numbers are there in the set {1,2,3,...,200} which are divisible by neither 3 nor 4 nor 12?

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Q: By recognizing the series ((1/2))² ((1/2))³ 2 3 sum = ((1/2))" n -((1/2)) + + (−1)”. as a Taylor…

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Q: 14. Which Inequality best describes the graph shown below? Dashed or Solid line? Shaded region Above…

A: Using rules of linear geometric equation question can be solved.

Q: Find the equation of osculating plane at any point 't' on the hell- : Y = @ sin t x.= @ Cost,

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Q: Q2- Find I = 8(sin x)

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A: Given: y'=y3-ty,  y0=0.5 To find using a computer algebra system: (a) with h = 0.1 y0.5≈…

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Q: Determine the Hamming distance between the binary strings 011 010 001 and 001 010 010. 03 04 01 02

A: This is the question of coding theory.

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Q: A y = @ sin t. x.= @ cos t, 2 may as we , mod Auw zw sword Supomoso jo uogonba ay puny

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Q: Consider the inner-product (f; 9) := [_*¸ ƒ(x)g(x)dx. Consider the 'vectors' in this function space…

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Q: P2 Consider the two power series f(x) = x + Σ n=0 (3x)2n+1 (2n + 1)! (x + 1)" g(x) = Σ 3″n ln(n)*…

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Q: How many numbers are there in the set {1,2,3,...,200} which are divisible by either 7 or 9 but not…

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Q: 1. (2Y²-6) (2Y+9)

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Q: QUESTION 15 If the equation of a plane is given by 2x - 10y + 11z = 30 Then classify the following…

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Q: Suppose TEL(V) and v € V. (a) (b) Prove that there exists a unique monic polynomial p of smallest…

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Q: Prove that: (ja) 2₁ ( 1 , ² ; 3 ; x ²) = ↓ sin^¹ x (b) 2 E1 3 2 1 tan 1 x

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Q: (a) What is the probability that at most 39 greater than 67

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Q: EXERCISE 2 The differential equation is given y" - 3y' + f(x) y = 0, y = y(x) nd y1=yı(x), y2=y2(x)…

A: