det(ABA) is equal to OA. det(A) 1 O B. det(AB) O C. det(B) OD. det(B) 1 OE. 1+ det(B)

Q: (x2 + 8y?)dx — 6хуdy %3D 0

A: To solve the given differential equation.

Q: undetermint coedticients 11 ON-4y = G²-3) sin x

A: The given problem is to solve the given non homogeneous differential equation using method of…

Q: i. Look for or create your own linear transformation T: R" → R". where n, and m are both R³, both…

A: In this question, we have to find the examples of linear transformations : (A) T : ℝ3→ℝ3(B) T :…

Q: Let f(z) = ((z – 3i)? + 9)ez-si The Laurent series representation of f(z) in the domain 0 < |z – 3i|…

A: Given function is fz=z−3i2+9e1z−3i. We have to find the Laurent series expansion of the function fz…

Q: Let n E Z. Show that f(x) = x3 – nx +2 is irreducible over Q for %3D n + -1,3, 5.

A: We shall find all n ∈ Z such that f(x) is reducible. Assume that f(x) is reducible. As f(x) is…

Q: Use the Laplace transform to solve x'-2y'=1;x'+y-x=0;x(0)=y(0)=0

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Q: 11

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Q: Greg surveyed 50 of his classmates about their favorite pet. Each classmate chose one pet. The…

A: here total number of people is 50. Also given that % of choosing Dog is 48% ,Fish is 14%, Hamster is…

Q: A rectangular paperboard measuring 32 in long and 20 in wide has a semicircle cut out of it, as…

A: A rectangular paperboard measuring 32in long and 20 in wide has a semicircle cut out of it . To find…

Q: Question 2: Find the inverse Laplace transform of 10 a) F(s)= s(s+2)(s+3)? b) F(s)=- s+4s+5 1 c)…

A: The given problem is to find the inverse Laplace transforms of the given functions F(s). We have to…

Q: grows grow corn, $6000 to grow wheat, and $5000 to grow soybeans. Because of market demand the…

A: The question has a printing mistake in the number. Solve assuming that.

Q: 5 Compute the Surface area f obtained by revoluing the line y=x around the y-aris. a cone whichü

A: To find the surface area of cone which is obtained by revolving y=x revolved around y-axis.

Q: How crucial is it for computer scientists to have a fundamental understanding of the concepts of…

A: It is very crucial to have basic understanding of Boolean Algebra for computer scientists. Lets…

Q: Find the solution. y'- y = -xyl/2

A:

Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x

A:

Q: 3. Suppose that BE Mxn(C) and B = 0. Show that I-B is invertible. Hint: Consider I+ B+ B.

A: Given : B is an n×n complex matrix with  B3 = O , where O is zero matrix. To prove :  I-B is…

Q: Зу— 6z %3D — 3 2х — 2у — 4z %3D 10 2х + Зу + z % 7 Зх —

A:

Q: 1. Using Three point Forward difference, Backward difference, Central difference formula numerical…

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Q: x +2 2x +3 3x + 5 3x + 4 4x +5 10x + 17 2x +3 =D0. Solve the equation 3x +4 5x + 8

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Q: A triangle has two of its corners in (4, 0, 7), (0, 4, 7), and the third on the curve in space that…

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Q: Find the solution. (y -x + xy cotx) dx+ x dy = 0 A xy tanx ccosy +secx - xcosx B xy cosy = c + sinx…

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Q: Solve using the hethad oF wndetk mned.coefficien ts yu +3y +2y=6

A:

Q: Coefficients Linear in Two Variables (x +2y - 4)dx + (2x + y-5)dy = 0 when y(1) = 0

A: We have to find solution of given differential equation.

Q: Mr. Cruz agreed to settle a debt by making 12 quarterly payments of P 450 each. If he failed to make…

A: Given: Let us consider the given, Quarterly payment, Q=ℙ 450 Number of payments, n=12 r=8% per annum…

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

A: Given equations are x + y + z = 4 → (1)x + 3y + 3z = 10 → (2)2x + y - z = 3 →(3)

Q: Solve x3 - 3x² +12 x +16 =0 Solve by cardan' s method

A: cardan' s method  to remove the x^2 term put y = x-(-l/3)  or x = y-l/3

Q: Find the volume of the area bounded by the curve y²=12x and the line x=3 revolved about x=3

A: Finding the volume of solid generated by given curve

Q: 3. If laplace f(t) = find laplace f(4t)

A: Given that Lf(t)=1ess to find the Laplace of f(4t) use the linearity property

Q: 2. Explain how each of the following factors may affect LRAS and SRAS respectively. In particular,…

A: Given: Let us determine an increase in the rate of labor force participation (LFPR).

Q: B. Use Linearity, Shifting and change of scale propertie 1. f(t) = (1- te-t)3 2. f(t) =-e-3t sin4t +…

A:

Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: The figure below shows an isosceles triangle PQR, where |PQ|=|PR| and a rectangle ABCD drawn inside…

A: The formula to calculate the area of a rectangle is A=l·w, where l and w are the length and width of…

Q: 1. Using Three point Forward difference, Backward difference, Central difference formula numerical…

A: We can solve this using given details and used formula

Q: Find graphically approximate value of the root of the equation an 3 – x = e* - 1.

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Q: Find the general solution of the differential equation T y" + 9y = 17 sec²(3t), 0 <t <- 6. NOTE: Use…

A:

Q: 1. Four friends (including Adam) were at the company picnic. Each friend had a different drink (one…

A: Answer: Adam-Water-Lime.David-Soda-Vanilla.Mary-Juice-Strawberry.Wilma-Tea-Lemon Explanation: step…

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A: Given, Coordinates of different towns. To find:  Function connecting these towns…

Q: 10 Find the projection of v = -14 onto the | -15 -4 -4 3 subspace W of R' spanned by| -6 and 6. 1…

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Q: Water is running out of a conical funnel at the rate of 1 in3/ sec. If the radius of the base of the…

A:

Q: Expand the function , in a power series anx" with center c = 0. Find a„x". 8+7x %3D n=0

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Q: Problem 1. Let x, y, u and v be row vectors in R' obeying: (2, —1,3), у%3 (-3, 2, 2), X = and…

A: If vectors a→  and   b→  are the two adjacent sides of parallelogram , then area of parallelogram is…

Q: Find the solution. y'= cscx + ycotx Ax csinx- cosy Bx csiny-cosx Cy= csiny-cosx D) y = csinx - cosx

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Q: 2x2-3x+7 7. Let f(x) = Find f(3). 5x2-2x 8. Suppose f (x) = Vx – 3 and g(x) = x² +5. Which o e…

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Q: Use Linear Approximation to estimate A - S(3.02) - S(3) for f(x) - VIIX + 15. (Use decimal notation.…

A: Introduction: Linear approximation is a way to measure the function value at a point that is very…

Q: 03 Which of the following is equal to 1 (G)" = () + ()' + (¿)° + . . ? n=1 0.9999999 1 1/2 infinity

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Q: Problem 3: Consider the IVP y" + ay + by = et, _y(0) = 1, y'(0) = 1. 1. Write the second-order IVP…

A: Given y"-y'-6y=e3t, y0=1, y'0=1. Substituting y'=z and y"=z', we get z'-z-6y=e3tz'=z+6y+e3t.

Q: Question 8 Find the solution. (D³ –2D2 -5D +6)y =0; when x =0, y=1, y'= -7, y"= -1 A y = -e-3 + 2e2*…

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Q: Зх — Зу — 6z %3D —3 2х — 2у — 4z %3D 10 2х + Зу + z %3 7

A: To Solve the following using Gauss-Jordan Elimination

Q: a² + 22 Evaluate ab – ch - b1 bc + ah x ab + ch - 6| са — 62 + 22 bc – ar c2 +2² - с a са + 6л — а |

A: