Answer only 3, need asap.

Q: Let A and B be two events such that p(A) = 0.4 and P(BA) = 0.2. Then P(BnA) = 0.4 0.7 0.6 0.5

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Q: Suppose that X has a continuous distribution with the following probability density function Then…

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Q: A = ¬{¬[(¬P → Q) ^ R] v ¬Q} ↔ (Q ^ R)

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Q: a. Show that the Bessel equation of order one-half 1 x²y" + xy' + (x² - - can be reduced to the…

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Q: Find the approximate area of ​​the part of the plane x=z that is between the planes y = 0 and y = 6…

A: As per the question we have to calculate the area of the plane surface x = z bounded by the planes y…

Q: Suppose that X has a continuous distribution with the following probability density function (ke-kx…

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Q: Evaluate A) Scos³x dx 4 B) Ssecx tanx dx

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Q: Determine whether the two planes x-y + 2z = 1 -x-y +z = 3 are parallel or intersecting. Find their…

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Q: b. (1+y²)y" + xy' - 3y = cos x solve and show that this equation is non- linear and non-homogeneous.…

A: As per the question we have to use the solution of the given second order differential equation to…

Q: Given the graph of f(x) below with the interval [-3, 1], move the point C so that it satisfies the…

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Q: -nsider the power series +00 Σ n=1 Determine whether the resulting series when x = -4 absolutely co…

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Q: Here is a copy of the previous problem: A university math department offers courses in College…

A: Let the number of sections of College Algebra offered =cthe number of sections of Finite Math…

Q: Find a formula for the nth term of the sequence. 1, 4, 9, 16, 25, ... - Determine the sequence's…

A: Given,           1, -4, 9, -16, 25....  To find sequence formula

Q: A university math department offers courses in College Algebra, Finite Mathematics, and Applied…

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Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

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Q: 1. Solve for y3 using the method of successive approximation. dy dx = x+y; y(1) = 1

A: Consider the given differential equation, dydx=x+y where y1=1 The method of successive approximation…

Q: Find the length of the leg x on the right triangle below. Enter the exact value, not a decimal…

A: I have given the answer in the explanation section. Hope you understand that

Q: If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether x is…

A: Here given A=1-2301-44-912, b=-6-15-5 Here given linear transformation as Tx=Ax

Q: 210 220 200 190 210 240 240 50 50 50 50 50 50 B The cross-sectional area of a marble block is given…

A: From the given figure, the length of AB on x axis is 300 meters which is divided into 6 equal…

Q: 1-a) Use Runge Kutta fourth order method to integrate y'= 4e0.8² -0.5y from t=0 to 3.0 S with step…

A: Given IVP is y'=4e0.8t-0.5y y(0)=2 step size h=1 So by Runge-Kutta method of order 4,…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: Find the Laplace transform of erfc (1/√t).

A: Given the function                   erfc1t

Q: An engineer is posed with a problem on an electrical system whose current flow is modelled by the…

A: Given electric system is 2I2+5I3=77I1+I2-2I3=62I1+3I2+8I3=13 We can write it in the matrix form…

Q: A four digit number is to be formed from the digits 0, 2, 5, 7, 8. How many numbers can be formed if…

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Q: Find a formula for the nth term of the sequence below. 7, -7,7,7,7, ... Choose the correct answer…

A: Given sequence as 7,-7,7,-7,7,…

Q: In the weighted voting system [8: 6, 4, 3, 2], which player is pivotal in the sequential coalition…

A: Given the weighted voting system [ 8 : 6, 4, 3, 2 ] Quota = 8 Weight of P1 = 6 Weight of P2 = 4…

Q: E. Approximate the following up to 4 decimal places using Taylor series $ b. cos (-13°) about x = π…

A: Solution a: Given 353 Let x=35 Then f(x)=x3 By Taylor's series method…

Q: 6. Evaluate the determinant for the following matrix: O A.8 OB.-2 O C.5 O D.4 3-5 1

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Q: 2. A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of…

A: Note:-  Volume of right circular cylinder is V =πr2 h Given information Let the radius of right…

Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule. Compare these…

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Q: E Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [ 4³…

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Q: The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the rate…

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Q: (Using Laplace Transform) Obtain the deflection of weightless beam of length 1 and freely supported…

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Q: c) Create a system of linear equation that is convergent and would have a unique solution. Discuss…

A: Now create a system of linear equations with  2 variables as x+2y=1x+3y=2 or 1213xy=12 Now the…

Q: Find the general solution of the following differential equation. y" + 11y' + 30y NOTE: Use c₁ and…

A: Given differential equation is y'' + 11y' + 30y = 0

Q: 2 Find the F.T. of the following Signals (functions) d. f(t) = 1 + 005 (6#+ + 7) C. f(t) = 35gn (3t)…

A: Given function is f(t)=3sgn(3t)-11+jt              (1) Let  f1(t)=3sgn(3t)                   (2)…

Q: 3) Prove that the multiplication map · : Z/nx Z/n → Z /n given by [x] · [y] = [xy] is well-defined.

A: To prove that the multiplication map · : ℤn×ℤn→ℤn given by    x·y=xy  is well-defined.

Q: Find a three-digit positive integer such that the sum of all three digits is 14, the tens digit is…

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Q: man recieves ghc36 as his salary.he is expected to contribute 12 and half of his to a social…

A: Total salary =ghc36 Contribution paid to social security fund = 1212%

Q: 1. R: y = x², y = 2x² - 3x

A: Consider the given equations of the curves, y=x2y=2x2-3x The graph is shown below,

Q: Consider the region T bounded by the graphs of y = x2, y = -3x, and x = 4. (a) Find the area of T. X…

A: Given that the region T is bounded by the graphs of y=x2, y=−3x and x=4. a We have to find the area…

Q: (b) Calculate f(z) dz. (c) Why did we show that the right hand limits at 0 = 0 of the real and…

A: Let us start solving the problem step by step

Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (x²+x-3) = 3 x-3…

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Q: Find the Laplace of f(t) = (t− 2)(t+2)e-³t

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Q: P(1, 0, 1), Q(-2, 1, 3), R(7, 2, 5) (a) Find a nonzero vector orthogonal to the plane through the…

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Q: Find the order of the element (2, 3) in the direct product group Z4 × 28. Compute the exponent and…

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Q: (4x) Use the figure to answer the question. What is the value of x? ● (x - 2)° 22°

A: Here is the given graph as

Q: Solve the initial value problem y" - 4y' — 21y = 0, y(0) = a, y′(0) = −24. Find a so that the…

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Q: Evaluate e Σ=1 3η n 2η - 1

A: Given series is ∑n=183nn2n-1 we can write it as ∑n=183n22n-1

Q: Ε. = Oy dx 47&a• (x +y)3 2

A: Introduction: The definite integration is the integration where we put limits over integration.…