Q4/ Find the abs.max cand abs, min Valuse of the Runctia Kcx, y) = I+xy-3x on the closed regen oounded by the %3D Parabolar y= X'and the line y =4.

Q: (B)JE w = x*+y+z° and x = PSin ø cos@ »y=pSing Sino and z- Pcoseo prove that -2P Cos 2Ø and' %3D

A: Given  w=x2+y2-z2x=ρsinϕcosθy=ρsinϕsinθz=ρcosϕ

Q: 4) Order of approximation for numerical integration methods Let f(x) = x?e-. Using u-substitution,…

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Q: Ex.2. Let t: R3 → R³ be a linear transformation such that, t (a, b, c) = (3a + c, - 2a + b, - a+ 2b+…

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Q: Question 24 The initial swing of a pendulum has an arc length of 28 inches. If the arc length loses…

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Q: 1. Using Cramer's Rule а.2х + у —z%3D33 b.x + y+z= 1 с.X-2 у—3z%%34 |

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Q: Let 2 be the following graph y а b и

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Q: I. Write T if the given statement is true with respect to the underlined term(s); otherwise, write…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Write the dual problem of the following minimum problem. Minimize C= 3x1 + 4x2 subject to the…

A: We use the definition of conversion from primal to dual to solve this problem.

Q: Express the following complex number in its polar form. 2+5i -4-7i .i'(V3 – i10)(2 – i5)

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Q: II. Let U = R = {x €R|x – 14x + 45x = 0} J = {x €R]x° 2}. I Find the following. All infinite sets…

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Q: Solve using method of undetermined coefficients: y" + 4y = e3x. %3D

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Q: 4. Let G be a finite group of order 4 containing no element of order 4. Explain why every…

A: See below

Q: Given the adjacency matrix of a graph: 0 20010 0 110 1 0 120 0 00 10 1 Answer the following…

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Q: Determine which of the following statements is true about the tableau shown below. BV P X1 X2 S1 S2…

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Q: Q4) Solve the boundary value problem y -- 3y' + 2y = 0 with y'(1) = 1, y(3) = 2e* - e? h = 0.5

A: Solution :-

Q: Comest the r. I56

A: Since you have posted multiple questions with multiparts and we can answer three subparts of a…

Q: Give an example of a matrix A with the order 2x2 along with two vectors a and b, with terms a is an…

A: Use simple matrix theory of eigenvalues to come up with this example

Q: ez = -2

A: Given,ez=-2⇒z = ln(-2) = ln(-2+0i)

Q: 5. SKETCH the area D between the lines x = 0, y = 3 – 3x, and y = 3x – 3. Set up and integrate the…

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Q: Solve using method of undetermined coefficients: y" + y' - 2y = x². %3D

A: Solution :-

Q: order differential coefficients as serie (b) y) when y = (7) sin 50. 50

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Q: dz and ду Suppose z is a function of x and y, and tan Vy² + x² = 2*e6y. Solve for

A: This is a problem of partial differentiation.

Q: Q4: Solve the following differential equation using Laplace transform d²y + 25y 10 (cos(5t) – 2…

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Q: Exercise 3: In the vector space V = R²x2, define U = {A € V | A' = A}, W = {A€ V| A' = -A} 1. Prove…

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Q: 1 limx→ limx→*" orcosx

A: We have to solve given problems:

Q: V IF S= 5A'x(2E-D'] find the value of the following #1 P11 # 4 P21 #7 P31 #2 P12 #5 P22 #8 P32 #3…

A: To find the required matrix :-

Q: Exercise 5: Prove the following claims: 1. If S is a linearily independent set and T CS then T is…

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Q: Exercise 4 Convergence after one step Consider the function f(r) = aT Ar +bTa+c, where A is…

A: given that  f(x) = 12xTAx + bTx + c   and A is symmetric and positive definite. unique solution x* =…

Q: 8. (a) Let I = :| f(x) dr where f(x) = 7.x +2 – V7x + 2. Use Simpson's rule with four strips to…

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Q: Find the sum of the three harmonic motions: x1(t)=10cos(wt + 2)  x2(t)=15sin(wt + 2) x3(t)=…

A: Consider the given three harmonic motions: x1t=10cosωt+2x2t=15sinωt+2x3t=15cosωt here we need to…

Q: 5. Prove that: If A has an inverse, then it has no eigenvalues of 0, and If there is no reciprocal…

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Q: . Find the maximum value of f(x) = In(x – In x) on the interval -sxs. Show all steps .

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Q: II. Let U = R - 아} I = {x € R|x5 – 14x³ + 45x = | 1= {x €R]x° 2}. J = Find the following. All…

A: Given that U=R I=x∈R|x5−14x3+45x=0 that is I=−5,−3,0,5,3 J=x∈R|x2≤6 that is J=−6,6 S=x∈R|2x>2…

Q: Solve the following DE using Power series around x, = 0. Find the first eight %3D nonzero terms of…

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Q: 10. If L = {3* |x = 1,2, 3, 4, 5 }, then L is an infinite set. 11. If J= {x € Z|0 |O|]. %3D %3D

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Q: 10. G(t) = t5 –e-9t + 5(t – 1)2 4 16-

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Q: IF S= 5A<(2E-D']find the value of the following #1 P11 # 4 P21 #7 P31 #2 P12 #5 P22 #8 P32 #3 P13 #6…

A: To find the required matrix :-

Q: Find the Laplace Transform of the following using the definition via integration: 8. F(t) = 5 sin 3t

A: Solution:-

Q: 1 5 B = 3 -1 -2 -2 ? Why? 3 2

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Q: 3. Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: Let the radius of the cone = r  height of the con   x = √(R^2 – r^2) and h=x+R , h is height of the…

Q: Show that the map t: V,(R) → V3(R) defined by 1(a, b) = (a + b, a- b, b) is a linear transformation.…

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Q: Let T(7) = Az for the following matrix A and let b be the vector given below. 1 1 2 -4 A = -1 8 1 3…

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Q: 5. Using Pivotal Element Method, find the value of x. 1 + 2i| 2 – 3i = -32 + 13i 3 1+ i 1 - i 1- 2i…

A: Solution :-

Q: Given a differential equation x³y3) – 6xy' + 12y = 0 Suppose we have r,r2, . , rn, Find the distinct…

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Q: Let a be a non-zero element of Z43. w| 42. Show that [3] is a primitive root of Z43 and that [2] is…

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Q: The manager of a store determines that the price p (in pesos) for a dress is changing at a rate of…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: Let G be a graph with vertex set V(G) = {v1, v2, V3, V4, V5, V6, V7} and edge set E(G) = {v1v2,…

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Q: Define Carmichacl's X-function and compute A(6031).

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Q: A box 12 feet by 15 feet by 20 feet contains 988,676, 1.5" diameter balls. What percent is empty…

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Q: 2 II. Consider the function defined by 1 g(x, y) = cos (7x 7) + log3(x – y)' Do as indicated. 1.…

A: Given the function is gx,y=cosπxy+1log3x-y