Sx, ifx <1 (1, if x > 1 f(x) = Show that f is R- integrable.

Q: Prove the converse of the Pythagorean theorem based on this Proof of the Pythagorean Theorem. A…

A: We will use the basic knowledge of triangles and Pythagoras theorem to answer this question for you…

Q: log,(2x-1)= 2. Find x

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Q: Derive this expression from first principles. f(R)=3/(bR)

A: Questions from derivatives.

Q: Construct an isomorphism between K and L, where K is the splitting field of x3 − x − 1 and L is the…

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Q: [O 2 1 4 0 2 -2 5 1 [i 1 -1

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Q: x1 = x2 - 4x1 + 4x3 4 x = -3x, - V3x1 +7*3 V3x1 +X3 x = 7x2 – 2x1 - Find the eigenvalues and…

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Q: Find the geometric and algebraic multiplicity of each eigenvalue, and determine whether A is…

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Q: D.V S Sz SOL b1 5xi 1. b2 -1 7. Find value of b1 and b2 1 1)

A: The given table is   To find: b1 and b2.

Q: (d) Show that g: B → A, g(x) = Vln x is the inverse of f. Why is f-"(x) # -VIn x?

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Q: Design the network represents the following activities, and then find the critical path. Activity…

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Q: o He are going to invest $100,000 in account that Pains 7.5% 00000 at निगाननी interest for 4 S4…

A: Let us solve the compound interest  problem in the next steps.

Q: 3. True or false? If a number is divisible by both 3 and 9, then is must be divisible by 27.

A: Solution

Q: The following difference table is for f(x)=1/2 tan(x+1). Use to find f(0.07) from a fourth degree…

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Q: 18. Show that Ein d(k)³ = (Ekin d(k))² for all positive intege m

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Q: (c) The motion of a mass-spring-damper system is given by the differential equation d?y +8 + 20 y =…

A: We have to solve the given problem.

Q: Problem 2. Find the pointwise limit of the following sequences, and determine whether the…

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Q: Perform the Gram-Schmidt process on the following sequence of vectors. [2" 4 y = 3 3 4 6 -3 -2 -2 4…

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Q: Solve the followings P. D. dz 0 ду Z. dx? satisfying the boundary

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Q: s function h(x), we have

A: Repeated

Q: Use Laplace and Inverse Laplace Transformation to solve for the boundary-value problem…

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Q: Perform the change of variables indicated in the problem to obtain the general solution to the…

A: The general solution of Bessel differential equation x2y''+xy'+x2-ν2y=0 is; When ν is an integer…

Q: <ToporoGy eF compLEX NumBERS that 2. Find a parametrizat on A the ine Ca) joins the origin to the…

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Q: 1. Find the Fourier Series coefficients representation of X if -T <x < 0 f(x) TT – X if 0<x< T

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Q: 12 n 12 n+ 3.64 2 n converges to The sequence an = Note: You may need to use the command.evalf() to…

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Q: 3. Show that S, has the presentation (x, ylx* = y? (xy) %3D %3D

A: Given: Group S4 We need to show that S4 has representationx,y|x4=y2=xy3=1

Q: useLaplace and Inverse Laplace Transformation to solve for the boundary-value problem y''-4y=t,…

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Q: f(t) = 3e7t - 3 cos(3t) + t?e-4t + 6.

A: Given  f(t) = 3e7t - 3cos(3t) + t2e-4t + 6    Results:  1) Laplace transformation is linear  2)…

Q: Determine all minors and cofactors of [6 3 A = 1 -8 -2 1

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Q: Show that the equation + 2x + (1– y²) - dx2 dx²y dy² is elliptic for values of x and in the region x…

A: Here we use B^2 -4AC to find this.

Q: Convert the following diffrential equation into an integral equation : d'y + Axy = f(x), y(0) = 1,…

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Q: Q4 (a) Identify the homogeneity of the following second order differential equation and state the…

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Q: NEED ASAP!! round off to five (5) decimal places. Also use the exact values whenever possible. 1.…

A: Factoring the left hand side of equation.  Using Demoivre's theorem

Q: to the manually calculated areas. Strictly use definite integral in solving for the area a. y = Vx…

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Q: use the Power Series Method to solve for the general solution. express your final answer in sigma…

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Q: Find an equation for the plane tangent to the level surface x² + y² + z = 4 at the point Po(1, 1,…

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Q: 4. The voltage signal from a standard wall socket can be described by the equation V(t) = 225…

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Q: (b) Solve the following second order homogeneous linear differential equation if the 4 initial…

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Q: 3. (x³-x²)7 dx x2

A: As per the question we are given a indefinite integral, which we have to find out. And to do that we…

Q: 4 (a) Identify the homogeneity of the following second order differential equation and state the…

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Q: ><y<1} The closure of the set E=. a) b) E = c) E=[0,1] d) E=(0,1)

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Q: 3n 37 The solution of the equation x +2, in R, is 4 27 2 57 a) 4 b) 4 c) 4,

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Q: Draw a graph:

A: Given,              f(x)=e-x22

Q: 100 / Find the optimal solution of the following (T.P) by using Least-Cost method. 120 120 40 50 70…

A: Least-Cost Method:-

Q: Let S4be the set of all strings of O's and 1's of length 4. → znonneg such that F(s) = Number of…

A: These questions follow from definition of a Function. We explain them in detail in the next step.

Q: Let T:P, →02 be the function defined by the formula T (p(x))=(p(0),p(1)). Then T- (3,5)= (а) 3—2х…

A: Here given T:P1→R2  be a function defind by the formula T(p(x))=(p(0),p(1)). We have to find…

Q: T/2 S [costi-sit cos ti – sin 2tj +sin? tk |dt.

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Q: Show by means of an algebraic proof that (A − B) ∪ (B − A) = (A ∪ B) − (A ∩ B).

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Q: If the determinant of a 4 x 4 matrix A is det(A) = 8, and the matrix D is obtained from A by adding…

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Q: 4. Arki Ramos recorded the following times assembling a watch. Determine (a) the average time, (b)…

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Q: Sõ sin“ 3x cos 3x dx

A: