Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?

Q: Q1: Find the values for (X, Y, Z) for the following equations : X+ 4Y – Z = -5 - (1) 3X + 3Y – 18Z =...

A: The system of equation is ,    x + 4y - z = -5 .........(1)                                    3x + ...

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

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Q: Find the Laplace transform of the following: 1) sin t ∗ cos t

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Q: Write your solutions Given: I미 = 35 |ANB|= 6 |ANBNC| = 2 |A| = 15 |ANC| = 6 |B| = 15 |BNC| = 5 |C| =...

A: Q1,2 asked and answered.

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Q: とts H.w./find L) fram the eguation 2. wheres and 0)-1 52 1- 5.

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Q: Find the Laplace transform of the following: 1) t2 sinh 2t

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Q: Find a remainder when dividing 23490 with 7.

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Q: Problem (1): Show that there is only one automorphism, the identity function, of Q.

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

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Q: 4a. Can you find a system of linear equations that has exactly two real solutions.[ 4b. A set S is c...

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Q: • Use the fourth-order Runge-Kutta method with 0.5 to approximate the solution to the initial- value...

A: Given differential equation is y'=e-x/10cosx-110y Let f(x,y)=e-x/10cosx-110y with initial condition ...

Q: Q3: Find the centroid of the next shaded area. 4m

A: Solution :-

Q: 2. What will be the new volume of this prism if a scale factor of 1.5 is applied to the dimensions?

A: Given,         and  Scale factor = 1.5

Q: Activity 2 Find the slope of the tangent line of the given function, f below: 1. f(x) = 2x + 5 3. f(...

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Q: Find the three cube roots of the following complex number: 120 ( cos60 + i sin60) O (4.63 + 1.69i), ...

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A: Given: Different shapes. To find: What is the result of combining different shapes whether repeated ...

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Q: Home Work following equations by Newton Rapheon Solve the methad 1. X=e

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Q: x(х — 2)у" + 2(х — 1)у' — 2у %3D0 |

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Q: 12. Let Gbe an open set in R". Two points x, y e G are said to be equivalent if they can be joined b...

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Q: Using ɛ-6 argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

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Q: 3. Using the substitution z = xy, convert dy x+y = 2x V(1 – x²y²) dx to separable equation. Hence, s...

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Q: If T : R^3 -> R3 is a linear transformation defined as T(x, y, z) = (x + 2y, y + 4z, x + 3y + 4z), f...

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Q: Suppose that the tringle inequality is strict llel veetor s that means para V Qe R on non get 11 x+y...

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Q: diffrentfal Equatton 2c05(5t+ 1•0472) UL4) %3D %3D where ultl Unut stop funchion finell the compleme...

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Q: Find the roots of the given complex number 1. z^3 = 2 – 3i

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Q: Use Simpson's rule with 2n = 10 subintervals to approximate the length of the curve. y = 2cosx, Roun...

A: Given y(x)=2cosx y'(x)=-2sin(x) And Arc Length =∫-π2π21+(y'(x))2dx                            =∫-π2π...

Q: 93.> (@) Find the complute aud singulak integeal 9 the partial alifferential equation + 3p 2 2 3 px

A: Solution a: Given PDE is z=px+qy+3p2q3 Since give PDE is of the type z=px+qy+f(p,q) which is the Cla...

Q: Hw.4 consider a ctosed Kectangutar box uith a If base side ir measured with evror at 2% and the heig...

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Q: Solve this problem using the Gauss-Seidel method for Es = 5%

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Q: 2. Let the rref of a matrix A be, 0 2 0 -2 0 1 -5 0 -3 0 0 0 1 6 Determine A if the first, second an...

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Q: 2. Draw the graph z = - cos(y) for 0 < y < 2n, and then use it to help you sketch solutions of y' = ...

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Q: In a batch of 500 high school students, there are 252 students who own a laptop, 176 students who ow...

A: Here we can use the formula nU = nA+nB-nA∩B+nA∪B' 

Q: Evaluate the exact value of the multiple integral. 3z (2y 24 sin(2x) dx dy dz -y

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Q: 3(1 + P) = 2ty(y³ – 1) dt %3D

A: Let us consider the differential equation dydt+P(x)y=Q(x)yn It is known as Bernoulli's equation  Usi...

Q: dx 1-S 1-sinx dx 2- S Vx2-2x (5x2+20r+6)

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub-...