A ball is drawn at random from a box containing (6) red balls, (4) white balls and (s) bine balls Find the Robability that the ball is red or white

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A: Solution

Q: Consider the matrix

A: Given, the matrix                A=0-3-1020233 And the eigenvalues of A are λ=1, and λ=2.

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Q: [MO32] Given the function below, f(x) = {ex Se-x 0≤x≤π π < x < 2π find its Fourier a. Cosine Series…

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A: Given that A is fixed 10×10 matrix and H=N  NTA=AN. To find : H is a subspace of all  10×10 matrix…

Q: 2) (2x + sin x) dx + x cos y dy = 0 3) - 2y + a = 0 dx dy 3y 4) r2 (Exact). (Separation variables).…

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Q: 9. Using integration by parts, Then k is? (a) - 1.5136 [*²x³ cos(x²) dx = k − [*³x sin(x²) dx -…

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Q: Use mathematical induction to prove и исин) {i= VEN 2 1 = 1

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Q: .Using 1 - node Gaussian integration, we have f f(x) dx wif(x₁). What is the value of x₁ ? b-a (c)…

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Q: a)Consider the following data: 3 is a quadratic residue for 23 and 37. 3 is a quadratic nonresidue…

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Q: Write [0, 5, 1, -7, 0] as a linear combination of [0, 1, 2, 0, 0]; [0, 1, 0, 0, 0]; [0, 1, 0, 0, 1];…

A: We want to write [0, 5, 1, -7, 0] as a linear combination of given vectors.

Q: 2. Use sketches of regions or number lines to show each pair of equivalent fractions: a. 10 15 95

A: Given :Fraction :                      23 =  1015

Q: (-3,0) 3 -2 4- 3+ 2. -1 (0, -0.5) -1,-2) (-1,-3) -3- (1,0) 2 y = f'(x) 3 (2,-0.5) (3,-2) (4, -3) I

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Q: sốn ² sin () cos() sin() dx (Consider initially the first 2 terms)

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Q: 5. (a) Evaluate the polynomial y=2²-82² +12z-0.45 at z 2.378. Use 4-digit arithmetic with chopping.…

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Q: 3.8 The integral 28x³e-x² dx is approximated by Simpson's 3/8 rule with 9 intervals. Let f(x) =…

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Q: Determine whether the DE has homogeneous coefficients. If so, find the implicit solution.…

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Q: -13 2 6 1 The matrix I 09 4 3 3 2-8-1 -2 3 2 10 The Augmented matrix is as follows: -13 2 6 1 -7 09…

A: Given: -13w+2x+6y+z=-7  0w+9x+4y+3z=4  3w+2x-8y-z=-5  -2w+3x+2y+10z=0 To solve the system of…

Q: Exercise 15.2.21. For each of the following multiplication tables, fill in the blanks to make a…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim x-3 (x-3) tan(9-x²)…

A: To Evaluate: limx→3(x-3)tan(9-x2)sin2(2x-6) without using L'Hopital's Rule

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Q: Q.1: Determine the roots of the Simultaneous nonlinear equations using Newton- Raphson method for…

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Q: xy'=y+ IX2-y2 ху

A: We have to find the general solution of the given differential equation xy'=y+x2-y2 .

Q: Write the following English sentences in symbolic form- 1. If I will go to Australia, then I will…

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Q: a Verity. functions and form. a basis of solutions of the given ODE? (b) Solve the IVP of that given…

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Q: Q1): The concentration of salt is given as a function of time by: dx -37.5-3.5x dt at the initial…

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Q: An estimate value of f(x) dx is 10 using trapezoidal 2 - interval rule. W is an estimate value of…

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Q: Equations with the Dependent Variable Missing For a second-order differential equation of the form…

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Q: -3.8 The integral 28x³e-x² dx is approximated by Simpson's 3/8 rule with 9 intervals. Let f(x) =…

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Q: Using two 11.51. The e is nearly?

A: The Simpsons 13 rule is given by the formula  ∫abf(x)dx=b-a3nf(x0)+4f(x1)+f(x2)+...f(xn-1)+f(xn)…

Q: There are 25 applicants for four jobs; Computer Programmer, Software Tester, Manager, and Systems…

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Q: III. Use Squeeze Theorem to evaluate lim 8478 COS X log x

A: To Evaluate: limx→+∞cosxlog12x by using squeeze theorem:

Q: Write the following English sentences in symbolic form- 1. Birds fly if and only if sky is clear.…

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Q: Evaluate the integral S 3012 2/3 de using the two-point Gaussian quadrature rule. 1+16z4

A: Given integral is ∫−121221+16x4dx. We have to evaluate the given integral by using the two-point…

Q: uppose h' is continuous at x = 0 and h'(x) = Find h"(0+), if it exists. tan(2x) — 1 if x > 0.

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Q: Example 9.15. Solve the simultaneous difference equations x+1+v₁₂-3u₁ = x, 3u₁ +vx+15v₁ = 4³ subject…

A: here, u1 = 2 v1 = 0