Show that U= {(x, y, z): r, y = R} is a subspace of R³. Then, find a linear complement of U in R³. the man T R³-R² given by

Q: 5 -2 [x1] Given A=-2 6 2 and X=X₂ [x3] 2 7 show that XTAX = 27, suggest that 5X + 6X2+7X3-4X₁X₂ +…

A: Given A = 5-20-262027  and  X = x1x2x3

Q: Q1 find f'(x) using (forward finite difference formula ) at x = ½ for f(x) = sin x - e* with h= 0.1,…

A: Sol

Q: SOLVE FOR THE X OF THE FOLLOWING FUNCTION USING BISECTION METHOD b. x³7x² + 14x6 = 0

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Q: What is not true about the curve y = as x-∞, y 0 None of the Choices Domain is 1 < x <∞. O Intersect…

A: Given curve is y=lnx-1xex The following options are verified as shown below.

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" +…

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Q: 5. (tan2x + cot2x)² dx

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Q: Find fx fy, and f₂, and evaluate each at the given point. f(x, y, z) = x²y³ + 2xyz - 7yz, (-3, 1, 3)…

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Q: 1. Determine the magnitude and direction of the resultant for the given vectors. polygon method. A:…

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Q: 1 37) Solve the following simultaneous linear D.E. [D + 1 2D + 11 40)=(2²) LD + 5 4D + 11]

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Q: Q3A) Find normal line and parallel plane to the function f(x, y, z)= x³y²z² - 4 At point (1,-1,2).

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Q: Sample space S is partitioned into E₁, E₂, E3, and E4 such that P(E₁)=0.12, P(E₂)=0.09, and…

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Q: Find the z - k transform of (¹½)

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Q: Let KCC be an arbitrary non-empty compact set. BEB(P), 1 ≤p≤0, such that o(B) = K. Construct an…

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: 1) Given  f(x) = 2x - 3 g(x) = -4x2 + 9   f(x)*g(x)  = (2x - 3)*(-4x2 + 9)  = 2x*(-4x2 + 9) -3*(-4x2…

Q: Q1A) The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.

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Q: Q5A) Find volume of body from above Z = √√4x² - y² and below Z - Triple integration. 1 using

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Q: 10 D+21 [D+3D+3] {x} = {2}

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Q: Find the solutions to the system of nonlinear equations given by: Sy= = - x - 12 x² + y² = 80 A: B:…

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Q: Q5A) Find volume of body from above Z = √√4 - x² - y2 and below Z = 1 using Triple integration.

A: I

Q: .. Evaluate. a) 2³ x 4² x 2-3 b) 81¹/4 - 81/3

A: Evaluation of numbers

Q: Using Euler’s Theorem, find the last two digits of 4444^3333

A: Let us find the last two digit of the given expression by using Euler's Theorem in the next steps.

Q: Q5A) Find volume of body from above Z = √√4-x² - y2 and below Z = 1 using Triple integration.

A: To find: Volume of the solid bounded above by Z=4-x2-y2 and below by Z=1.

Q: If y, and y₂ are linearly independent solutions of ty" + 3y' + tety = 0 and if W(y₁, y₂)(1) = 6,…

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Q: The Data Viewer in SPSS is a table summarizing frequencies of data. True O False The command…

A: To state True or False for the given statements: (a.) The Data Viewer in SPSS is a table summarizing…

Q: y=xy'-3ey' solve the differential equation

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Q: A bank service charge is $8.25 per month for the first 10 transactions, plus $1.25 for each…

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Q: .L{cos 5x) = p²+25

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Q: Question 7( Determine the most suitable form of M) that should be used when solving each 24…

A: To Determine: Most suitable form of y(t) for solving the equation: (a) y''+9y=sin(2t)+t2cos(3t)+3.…

Q: B)Is w = Zez analytical function or not?

A: Here we use the Cauchy Riemann equations to show that the function is analytic or not. At follows

Q: A car used 50 liters of gasoline and traveled a total distance of 350 km. The car's fuel efficiency…

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Q: Solve the initial value problem below using the method of Laplace transforms. ty" - 5ty' + 5y = 25,…

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Q: Question # 1: Part: a:For given matrix A, find Col(A), Row(A) and Null(A). Also write the dimension…

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Q: Solve the following integral step by step 0 2yz s z=0 y=sin(2z) x=0 sin X² y dxdydz

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: and the Laplace Transform for the following: e2tsinh(t)

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: 3(6+4)2-5(17-20)2

A: 3(6+4)2-5(17-20)2=(18+12)2 - (85-100)2 ( since , multiplication is distributive over addition)…

Q: [0.6634-0.5000 0.3830 0.8660 0.6428 0 -2.6180, 0.3412, -1.2750, 0.5432, If a rotation matrix…

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Q: B)ls w = Ze² analytical function or not?

A: Sufficient condition for differentiability  : Let G be a region in the plane and let u and v be…

Q: 2. Table below show cost of transportation for XYZ firm: Supply, Demand and Cost are show at point…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Problem 5.2. Assume that u(0) = u(1) = 0, and that u satisfies 1 [u'v u'v' dx = f fv dx, 0 0 for all…

A: As per the question we are given a functional space V defined as : v ∈ V = { v : ||v|| + ||v'|| &lt;…

Q: (Q1) Which of the following statements is true for all non-empty subsets X of the real numbers?…

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Q: 9. Besides the 3 discontinuities (infinite, removable and jump) name 3 scenarios in which the…

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Q: Qn4. The formation of loop for optimal solutions in a transportation problem should End with minimum…

A: To find: the condition for formation of loop for optimal solutions in a transportation problem.

Q: Q1A) The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.

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Q: Suppose that the piecewise defined function f is defined by 4 - 2x, x≤2 f(x) = { +² +5x-14, x>2…

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Q: Assume that y = 69 when x = -3, y=-72 when x = 15 and y = 99 when x = 27. If we…

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Q: 2. Take (E = |xi + 1- xi |) Q2 Using the fixed point iteration method solve the equation 2x³-2x-5=0…

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Q: Solve using Inverse Operaators. y" - y' = 4e-x + 3e2x; Particular Solution: Y=C₁+ C₂ eax + C3 ebx…

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Q: 14 Slot Cars Pip is building model car racing tracks using a large supply of the two types of square…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.