you are given the foll awing sets. which of them closed under are scalar multiplication? (may be more tran one right ansouer) O The set of all pallynomials at bI tc in 5 such that ac = 5. The set of all matrices that A* - A- in M22 such 3 The set of all vectors ca, b, Sab) in of the farm

Q: 7. Solve the following counting and probability problems. (a). How many permutations of the letters ...

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Q: 2. Let X1 and X2 be sets. Define functions T1: X1 x X2 → X1, T2 : X, × X, → X2 by T (X1, 12) = #1, T...

A: We will be solving Q.2 as mentioned. Given that X1 and X2 are two sets. Define two functions π1:X1×X...

Q: Question 1) Find I = dz, C: |z + 103| = 4, CCW z+ 100

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Q: integrals.

A: It is a simple integration 

Q: Find the general solution: y" + 9y = 5e-2x %3D

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Q: Answer the following questions: 1. Bring out the different uses and the application of Business Math...

A: 1) Introduction to Business Math :- Business Math always deals with profit or loss. The cost of a pr...

Q: Find the volume of the solid obtained by rotating the region bounded by y = sin and y = 1? from r = ...

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Q: 7. Se* (1 + 2e*)* dx

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Q: If S is a region in the xy-plane whose moment about the x-axis is given by the definite integral 1 (...

A: Given S is the region in xy plane whose moment about x-axis is Mx=12ρ∫01(x-x2)dxwhere ρ is density o...

Q: Given 34 – 17s F(s) = (2s – 1)(s2 – 2s + 5)' use the table of Laplace Transforms to find L '{F(s)}.

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Q: Solve the following Laplace Transform of Algebraic Expression: Find the L 2t° ? Show Solution.

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Q: Determine the inverse Laplace 2s +3 transform of (s+4)

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Q: For f(x) = = 0 with xo = -2, find the estimated root using NRM if the stopping criterion-is cot(x²-s...

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Q: 4 -1 20 2. Let u1 U2 and y = 3 Из -10 3 -2 -4 Let W = span{u1,u2, U3} (i) Find the orthogonal projec...

A: Given: W=spanu1, u2, u3, where u1=1023, u2=320-1, u3=0-13-2 and y=420-10-4. To find: (i) Orthogonal ...

Q: differential equation.

A: We will solve this DE by using power series 

Q: Link between every sequences and this specific properties {1n(n? +n+5]} is A. geometric The sequence...

A: We will use concept of sequence to verify the nature of sequence. 

Q: Determine where the graph of each function is concave upward and where it concave downward.  f(x) ...

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Q: 1. Consider the function f defined by f (x) =| sin x |, for - T < x < T. a) Find the Fourier series ...

A: Since all the questions are lengthy, we can solve first one for you. Please repost each pending ques...

Q: Julio buys a ki fishpond (and fish to put in it) for his wife on their anniversary. He pays $8000 fo...

A: 1. The total interest repaid is calculated by Interst = PRT, where P is principal amount, R is rate ...

Q: Huero the init value problemi Cx?-Dy"-cacGx)y +3y = x , y \, find the largest intervad of validity g...

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Q: Two photographs ol the mooni were taken at precisely the same time from two locations The lunar angl...

A: To calculate the distance to the moon from city A and to compare it with actual distance.

Q: Quèstion 5 5(-1)" is a geometric sequence 3" +2 True O False

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Q: Create a reflexive portfolio in pdf format, showing screenshots of news headlines that illustrate th...

A: We will discuss about concepts of sets logic and number system 

Q: Show that the product of two Hausdorff spaces is Hausdroff. Need typed solution, otherwise I will d...

A: Let  X1 , T1  and  X2 , T2  be any two Hausdorff topological spaces. And  X , T  bet the product spa...

Q: Consider: f(x) = 48x* – 203.8x³ + 164.623x² + 94.3896x – 88.6618 = 0. Using bisection method, on wha...

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Q: Evaluate w f(x, y, z) dV for the function f and region W specified. S(x, y, z) = 78z W:x s ys 1,0<x<...

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Q: 4) Activity 5: Check for Understanding ASSIGNMENT #5. Evaluate the definite integral using the first...

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Q: (D3−D2+D−1)y=0 ;y(0)=0 ;y′(0)=2 ;y′′(0)=2. Find y(π).

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Q: Let F(r, y, z) =r²i+y´j+z²k and S the surface of the region bounded by the cylinder r² + y² = 16 and...

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Q: b.

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Q: Exercise 1: Directions: Evaluate the following integrals. Show your complete solutions. Identify the...

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Q: Clear writing please.

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Q: з dy 5. S 4y-3

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Q: Find 2-th and 3-th iteration of the secant method for f(x) = x – x +x - 5 Xo = 2, x1 = 1 20 15 10 0....

A: Given: f(x)=x5-x3+x-5, x0=2, x1=1 To find: Second and third iteration of secant method.

Q: Let p and q be polynomials of degree n with domain R. If there exists c e R such that W [p, q](c) = ...

A: To find: Whether the given statement is true or false.

Q: 2. Let G be a group. Show that Z(G) = NEG CG(x).

A: Let G be a group. We know Z(G) denotes the center of the group G, CG(x) denotes the centralizer of x...

Q: For each of the following functions defined on the interval (0, ): (a) Find the Fourier sine series....

A: Fourier sine series  of the function f(x) in the interval 0&lt;x&lt;L f (x) = ∑n=1∞  Bn  sin  nπx L ...

Q: Draw a prism with a triangular base and sketch a horizontal and vertical cross section for this figu...

A: Draw a prism with triangular base. Cut the solid vertically: Note that the intersection is a recta...

Q: Q4. Using Laplace Transforms determine the solution y(t),to the initial value problem following dy -...

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Q: 17. Multiply. 2(Ax - 6)

A: Since there are multiple questions, we will solve the first one. Repost the question again to get it...

Q: 3. Find the derivatives of y with respect to x: a) y = xex – e* b)' y = e(4x+;) %3D c) y = e*(sin x ...

A: To find- Find the derivatives of y with respect to x: y = xex - ex y = e4x + 1x y = exsinx + cosx y...

Q: :: Find the y-coordinate of the point on the plane x+ 6y + 7z = 3 that is closest to the point (-14,...

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Q: Set gf) = 6° G0,2),g(6)=0 functior Extend gt) to an aen L-2,2) then extend gCt) to all real neembers...

A: Given that gt=t2    0&lt;t&lt;20t=0

Q: Let z and z, be complex numbers. Which of the following statements are always true? O If z = rje“, z...

A: (i)  We have, z1=r1eiθ, z2=r2eiπ4Andz1=z2r1eiθ=r2eiπ4In order to have θ=π4 we must have r1=r2.So, (i...

Q: Exercise 10. Show that if ACB, then ACB.

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Q: a) Consider the Linear System, find the value of x, y, z using Inverse of a matrix a) -x +2y –3z = 1...

A: System of linear equations, using Matrix method

Q: Compute the average value of f(x, y, z) over the region W. S(x. y, z) = 24xysin(5zz) W : [0, 1] x [0...

A: Average value of f over W =1volume of W∫∫∫W f(x,y,z) dV

Q: Exercise 2. Prove that all polynomials and rational functions are continuous on their domain.

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Q: Evaluate L{3 (r² – 1) sin (21) + 7e cosh (41)}

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral 00 L{f(t...

A: Given function is f(t) = -1,0≤t≤11,t≥1