1. Let A, B abd C be sets. Prove that Au (B-C) = (AUB) - (C-A).

Q: Use the transformations u = xy and v=xy* to evaluate ff xyd4 where R is the √√3 1 X region bounded…

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Q: Find the available number of passwords when using a 4 letter password with possible usage of…

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Q: of am regulay space X and it subset of X such that cey them there is subset o a closed neighbourhood…

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Q: System of linear equations is Inconsistent if System has no solution System has unique solution O…

A: The solution is given as

Q: 3 Use Green's theorem to evaluate [x³y dx - xy²dy, where C C is the unit circle x²+y=1 with…

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Q: Solve the following system using Gauss Jordan method? x + 3y + z = 10 x-2y-z = -6 2x + y + 2z = 10

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Q: 3- Classify Vectors Analyze the following algebraic vectors. (Time estimate: 10 mins) a = (5, 2, 17)…

A: a) Given vectors are a⇀=(5,2,17)b⇀=(3,2,3)c⇀=(9,2,45) First we find their scalar triple product.…

Q: Determine the intervals on which f(x) is positive and on which f(x) is negative. swer:…

A: If the graph of f(x) lies above the x axis for the values of a<x<b, then, f(x)>0 for…

Q: Find the integral of the function using Trapezoidal n = 30. and using Simpson's Rule 4 3 (6x³-9x +…

A: Given integral is  ∫346x3-9x+4dx we want to evaluate that integral by Trapezoidal rule for n=30.…

Q: The cost of mailing a package weighing up to, but not including, 1 pound is $2.80. Each additional…

A: For a decimal number, the greatest integer function always returns the whole number that is to the…

Q: When using Runge-Kutta method of order 4 to solve the initial-value problem: ý = cos 2t + sin 3t, 0…

A: K1= 0.25

Q: Q3/ find the Fourier series for the following function. F (t) = C 0<t<2 2<t<4

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Q: Let x, y € R. Then x^2+y^2 = 16 defines y as a function of x. True False

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Q: The pressure P and volume V of an expanding gas are related by the formula PV = C, where b and C are…

A: Using the product rule of derivative, it can be written that uv'=uv'+vu'. It is known that…

Q: Let f: R" x R → R define as follows f(x, y) = then f is

A: Given that: f:Rn×Rn→R define as follows fx,y=∑xiyi¯i=1n. The objective is to determine the value of…

Q: The error will disappear when using f(x)=x* to find the Lagrange interpolating polynomial p(x) if n…

A: Sol

Q: 2 2 21) (₁² -18343 3. The matrix Q = (a) positive definite. (b) negative definite. (c) semi positive…

A: We use the following result: (1) A block diagonal matrix is semi positive definite if and only if…

Q: 4. What is the z-transform (az)-1 (1-(az)-1)2 of the signal x(n)-na"u(n)? az-1 (1-(az)-1)2 (a) (b)…

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Q: 4. Suppose that xa is an approximate solution to the system of Ax = b. Let A, and Tare nonsingular…

A: Sol

Q: Compute the definite integral T/4 0 5 sin² (3x) dx

A: Sol:- ∫0π45sin23xdxTake the constant out:  ∫a·fxdx=a·∫fxdx=5·∫0π4sin23xdx=5·∫0π4121-cos6xdxTake the…

Q: Activity 2: You are working on another electronic system that produces a voltage (v) as a function…

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Q: Solve the linear programming Maximize: P = x + 2y-z Verify your Solution Start: X2424 11252 -1 -2…

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Q: 4- Power Series Solution. Solve y' - y = 0. y = a₁ + a₁x + a₂x² + A3x³ + ... = Σ amxm m=0

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Q: Which of the following statements are true 1. The determinant of a matrix is the same to that of its…

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Q: Use appropriate substitution to solve the differential equation dy 2x + y - 2+ dx 1 4x + 2y > y =…

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Q: You are testing an electrical device which can be modelled by the following equations: 1₁ + 2(1₁…

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Q: Find the equivalent DE for the given families of curve: all circles center at origin. O xy + y² = 0…

A: We will use the equation of family of all circles with center as origin to get the required…

Q: Consider the 2-periodic function defined on [-7, 7] by: f(x)=x²-x² (1) The function f is a. even…

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Q: Carbon-14 is a radioactive isotope of carbon that has a half-life of 5600 years. It is used…

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Q: n 3. For nx n matrix A. define R₁ = -1,i+j laij 1, then each eigenvalue of A is either in one of the…

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Q: Evaluate the integral 00 [8 (t-7) 6 sin(t) dt

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Q: Calculate the area between the curves ² = 16 sin 20 and ²: = 16 cos 20 .Show by drawing

A: To find: Area bounded by two curves  r2=16cos2θ , r2=16sin2θ.

Q: Solve for

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Q: 15- Let X-G(p) with mean 5 and standard deviation 3, then (a) p = ²/ (c) p = ²/ (b) p = ² (d) p = a…

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Q: H = 1 -3 2 -4 Determine the dimension of the subspace H, where 7 9 -6 12 2 -1 4 2 5 - -3 7

A: We know that the dimension of the vector space is the number of linearly independent vectors in the…

Q: Question 1. Find the inverse of matrix [1

A: As per the bartleby guidelines I am solving first question. Please reupload for second part. 1. We…

Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

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Q: When using Runge-Kutta method of order 4 to solve the initial-value problem: ý = cos 2t + sin 3t, 0…

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Q: Determine the inverse Laplace transform of the function below. 6 s² + 49

A: Sol

Q: When using Runge-Kutta method of order 4 to solve the initial-value problem: ý=2, 0 ≤ t ≤ 1, y(0) =…

A: K3 for W2 = 1  Option 2nd is correct

Q: If f(x)=ln(x) and x,-3.1, x₁-3.2, x-3.16, then the error bound in Lagrange interpolating polynomial…

A: Given the function is fx=lnx and x0=3.1, x1=3.2, x=3.16

Q: Q2./ Slug mass equal (1/4) is hungged on to a spring, whereupon the spring is stretched 1/2 ft from…

A: Please see the attachment

Q: Q/find the Domain and the range. ofthe function f(x) = _5X х2 -3х+4

A: We have Fx=5xx2-3x+4 Now, we factor the denominator. We have x2-3x+4 The solution of ax2+bx+c=0 is…

Q: e. To solve the 2nd order ODE, x y" - (x + 1) y' - y = 0, by series method, the indicial roots are…

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Q: Solve the initial value problem below using the method of Laplace transforms. y' +9y' + 18y = 160 e…

A: Some of the formula of Laplace transform are Leat=1s-aLy''=s2Y(s)-sy(0)-y'(0)L-11s-a=eat

Q: Recast the higher order initial value problem into an initial value problem for a system of first…

A: We recast the higher order initial value problem into an initial value problem for a system of first…

Q: 6. For any two nx n non-singular matrices A and B, then (a) K(A. B) ≥ K(A). K(B) (c) K(A. B) K(A).…

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Q: Q2./ Slug mass equal (1/4) is hungged on to a spring, whereupon the spring is stretched 1/2 ft from…

A: From the given data, m=14 slugl=12 fty0=0 fty'0=-4 ft/sec The subsequent motion of mass is…

Q: 5. The linear least squares approximation which best fits the curve y= |x | over the interval -1 ≤ x…

A: Sol

Q: Use the Laplace transform table and the linearity of the Laplace transform to determine the…

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