1. Given the functions f(x) = x + 3x + 2 and g(x) = x + 1, determine a simplified equation for h(x) = fg(x).

Q: Complete the following payroll ledger. Find the total gross earnings for each employee. Time and a…

A: For BianchiHours Worked -         46.5Reg. Hrs. -                  40 (Given)O.T. Hrs -…

Q: In how many ways can the letters of the word MANAGEMENT be rearranged so that the two 'A’s do not…

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Q: Section 2.4 In Exercises 1 and 2, we consider the system da = 2x + 2y dt dy = x + 3y. dt For the…

A: According to rule of bartleby We can solve only 2nd question if you want answer of other kindly…

Q: Use the substituation z= Xy where a Z a fuction of x to solve he following differential eguetion is…

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Q: and V2 3 1 and let A = -2 3 be the 9. Let v = 4 matrix for T : R R2 relative to the basis B =…

A: Given that                      v1=13 and v2=-14, and A=13-25 be the matrix for T : ℝ2→ℝ2 relative…

Q: In a group (G, 0) the elements a and b commute. Also O (a) = m and O (b) = n, are prime to each %3D…

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Q: Sketch the region of integration and change the order of integration. T/2 cos x f(x, y) dy dx

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Q: $-Show tht tha Newton's inters of degree falating Polynomiat P), fassing through the Poinks (oay…

A: Introduction: An interpolating polynomial is such a polynomial having the least possible degree that…

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = e-®, y =…

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Q: y = -4, y= Vx – 4, x= 1 Axis: y =-1 %3D

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Q: Fill in the missing entries of the matrix, assuming that the equation holds for all values of the…

A: The solution is given as

Q: 2. Let Ax = b be a system of linear equations in variables. Designate the columns of A as a, a, a,…

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Q: 1. In this question, you will be using the following trigonometric identities: cos" a + sin" a = 1…

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Q: 38. Let 2 = R0, the space of all sequences of the form w = (x1, x2, ...) (**) %3! where x; e R. Let…

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Q: 1. Consider the quadric surface S2: + (y + 1)* . (z–3)² 4 3 (a) Find an equation for the trace of S2…

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Q: Let po) - X In (x) , using the following approx im for the secoud denvative fcxo) = FOXO -h)-ZR…

A: Introduction: Apart from differentiating a function analytically, the derivative of a function can…

Q: Find the convolution of the two functions: f(t) = 2t and g(t) = () Cos 3 t. %3D

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Q: (-41) (sin(21) – cos(21) )²

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Q: sinc(2nBt – mn) sinc(2nBt n7

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Q: 4. Is M2(R) a field? Justify. -{[i !] 5. Show that T = | |x, y, z €R is a subring of M2(R).

A: Introduction: A ring is another important algebraic structure under two binary operations. These…

Q: 2. Let R = {(x, y) : x, y E R}. Prove or disprove that R is reflexive, symmetric and/or transitive…

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Q: Please solve using the method of Undetermined Coefficients. 3. (a) Find the general solution of the…

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Q: Is it possible to make Z into a vector space if we redefine addition?

A: To check: the possibility to make ℤ into a vector space.

Q: -. Consider the equation dy k -y = 0 dt2 for the motion of a simple harmonic oscillator. (a)…

A: Solution :-

Q: b) - a +b-c+d = 0 – 2a + b+c-3d = 0 a + 2b - 3c + d = 0 2a + 3b +4c- d 0

A: Let us considre the system of matrix Ax=b Using Cramer's rule, the solution of the system of…

Q: а + 26 +3с- 2d %3 6 За +25-с + 2d - 4 2а -b - 2с-3а%3D2 2а- 3Ь +2с+ а 3D8

A: To solve given system of equations we use the gauss - Jordan elimination method.First of all we…

Q: 6. Engineers Required 20 55 47 38 90 63 NPV ($1,000,000s) 1.0 1.8 2.0 1.5 3.6 2.2 Formulate an…

A: When project 4 is done, at least two of the other projects will be done.  P1+P2+P3>=2P4.

Q: а 0 a3 0 b2 b3 10. К b %3D с 0 |0 d² d³ 0 c3

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Q: 15. Let T: P, P, be defined by T(a, + a,x+ a,x²) = (5a, + 6a1 + 2a,) - (a, + 8a,)x + (a, – 2a,)x² a.…

A: The given linear transformation is T(a0+a1x+a2x2)=(5a0+6a1+2a2)-(a1+8a2)x+(a0-2a2)x2 (a) To find:…

Q: Find odd and even function (half range) Fourier series of function below f(x) = { 2-x 0 < x< 1 1< x…

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Q: circle y = V9- x and 9 - x anc eral triangles.

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Q: ICLO-1] Jeff, Fran, and Rudy are dividing an estate consisting of a house, a car, and a boat using…

A: Solution :-

Q: Using the Alternating Series Remainder Theorem, determine the number of terms N required to appro es…

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Q: A property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The…

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Q: 2. Let R = {(x, y) : x, y E R}. Prove or disprove that R is reflexive, symmetric and/or transitive…

A: Reflexive relation : A relation R is said to be reflexive if (x,x)∈R Symmetric relation : A relation…

Q: 3. Find the indicated term in each arithmetic progression. a. a, = 4, d= 5, n=12 %3D 2. b. a d =-4,…

A: We have to find indicated term in Questions.

Q: Complete the following table of values of a function p : {3,4,..., 11, 12} {-4, -3, ...,4,5} 3 5 10…

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Q: Solve the given initial-value problem. x-( -(:) x-() X' = = X + %3D

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Q: Jacinta wants to use milk and orange juice to increase the amount of calcium and vitamin A in her…

A: The system of equations can be solved graphically or algebraically. The method of substitution and…

Q: Solve using Laplace transform (y(2) – 10y(1) + 9y = 5t (b) y(0) = -1, y()(0) = 2 %3D %3D

A: (b) We have to solve the following initial value problem y" - 10y' + 9y = 5t With initial conditions…

Q: Is it possible for a basis transition matrix to equal the identity matrix? Explain with an example.

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Q: Sally makes a deal with ehr mother. If sally does all her chores today, she will get half a cookie.…

A: Sally get cookies on first day = 12 on second day number of cookies she gets = 1 on third day…

Q: Determine the inverse Laplace transform for the following. s – 1 2s2 + s + 6

A: HERE WE USE SOME FRACTIONS AND BASIC OF LAPLACE TRANSFORMATION

Q: Q.2/ Change the following Cartesian integral into an equivalent polar integral and evaluate it: (2…

A: We know that the polar coordinate is represented by r, θ, where r is the length and θ is the angle…

Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

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Q: Solve the following Initial Value Problem using Laplace transform: y" - 6y'+ 5y = e¯ 10 t ; y (0) =…

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Q: prove the parallelogramequlity:

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Q: 6. Find three geometric means between 2.6 a. and 9 9. b. 2 and 162

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Q: 2) Explain the definition of linear independence/dependence of n functions fi(x), f2(x),..., fn (x)…

A: The given functions are f1x,f2x,...,fnx and also the sine functions are sinx, six2x, sin3x. To…

Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) Determine the…

A: We will use concept of arc length in 3d We want to determine the length of a vector function,…