Calculate (image) using the Gaussian quadrature formula.

Q: a) Ac B and A CC→AC(BUC) b) AcB or AcC→Ac(BUC) c) AU(B-C)=(AUB)-(AUC)

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem....

Q: cos e - sin 0 cos O A = sin 0

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" – (2a – 1...

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Q: Cons i der the linearsystem X2 1. 2. is Gauss-s eidel method

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Q: f. (1 + x)² + y² = 1 dx

A: Given differential equation is (1 + x)2dydx + y2 = 1

Q: All changes saved 18. For the three-part question that follows, provide your answer to each part in ...

A: We will use calculator to approximate this

Q: Exercise 3. Prove that a relation R on A is antisymmetric if and only if RNR-' C {(a, a) | a E A

A: We know that , A relation R on set A is antisymmetric  if either x , y∉ R  or (y , x) ∉ R whenever x...

Q: Solve the following Differential Equations using Laplace Transforms: 1. ÿ+ 6ÿ + 11ỷ + 6y(t) = 0; y(0...

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Q: 1. Find the general solution of the given differential equation using MUC: y(4) – 4y(3) – 21y(2) + 1...

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Q: 5. Show that there is no vector field G such that: V x G = 2xi + 3yzj – xz?k.

A: Given that ∇×G→=2xi^+3yzj^−xz2k^. We have to show that there is no vector field G→ such that ∇×G→=2x...

Q: 12 -2 1 -2 X1 6. -2 13 -2 -6 X2 -3 1 -2 -11 -4 -3 X3 1 1 16 4 9. X4 14 2 4 4 18 X5 7 -2 -2 3 -7 14 X...

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

Q: If f: (a,b]-R has a local minimum at pe (a,b) and f is differentiable at p, then prove that f'(p) = ...

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Q: Find the surface area of the part of the surface z = x? + 3y that lies above the triangular region T...

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Q: 1. Construct a 3D orthonormal basis, where the first basis vector is along (3, 4, 0), the second is ...

A: We need to calculate an orthonormal basis.  We are given a vector and an axis perpendicular to it.

Q: I. Represent the following equations in R by a vector-valued/parametric equations: 4. 4r - 32y? + 4r...

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Q: Use Newton's method to get the third approximation x, to the equation e* =x+3 tarting with x, = 2. D...

A: we have given the equation  ex=x+3   we have to use the newton's method to get the third approximati...

Q: a) find eigenvalue/eigenvalues and the corresponding eigenvector/eigenvectors of A. A = ( ) -1 -1 b)...

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Q: 1- z Res z(z + 1). Iz=00 a) 0 b) 1 c) -1 d) 2 ||

A: Res( f, ∞) = - Res 1z2f1z, 0

Q: 6. Solve (2x – 1² d´y dx2 + (2x - 1)-2y dy - 2y dx = 8x-2x +3 %3D

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Q: Solve the linear programming roblem using the simplex Maximize P= -x, + 2x2 subject to - x1 + X2 s2 ...

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Q: 9. Test the following for convergence (p and q denote fixed real numbers): (a) Σ1P"n"; p > 0

A: Please specify which subpart is to be solved. Here is the solutions of subparts. (i) The given serie...

Q: 19. A circular cylinder with horizontal bases has a right section area of 4TT in. It is inclined at ...

A: Given that a circular cylinder has a horizontal base with right section area of 4π sq inches. The he...

Q: The equation y² = cx is the general solution of: y' = 2x y': %3D у 2y A y' = 2 2y y' = 2x O D B.

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Q: Name all integers from -100 to 100 that are congruent to -1 modulo 25!

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Q: (1 point) Express the integral II f(z, y, 2) dV as an iterated integral in the three different ways ...

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Q: 2 Obtain (a) the half-range cosine series and (b) the half-range sine series for the function 0. 0( ...

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Q: Find the Maclaurin polynomials of orders n = 0, 3, and 4 and then %3D find the nth Maclaurin polynom...

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Q: Which statement best describes the effects on the graph of f(x) = 2 when f(x) is replaced by -2f(x +...

A: Concept: Given function translation is: fx→-2fx+3-5 Here, f(x+3) determines that the graph of the fu...

Q: 1. Let A = and B = For what values of t is 2A+B invertible? 2. Let n be a natural number and let A, ...

A: 1.)      A=2-131 ,   B= 012t2A+ B = 22-131+ 012tFor 2A+B to be invertible determinant of ( 2A+ B) mu...

Q: Two stores sell painting kits. Store 1 charges $12.50 for the painting kit, and customers can buy ad...

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Q: Problem 2 Find the QR-factorization of the matrix 1 0 2 2 1 A = 1 -2 -1 -1

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Q: Let f(x)= x + ax* – 3x + bx – 4. If f(x) is divided by x + 7 the remainder is -3805, when divided by...

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Q: Let -8 -2 -9 6. 4 8 and w = 1 4 4 -2 Determine if w is in Col A. Is w in Null A?

A: We can solve this using given above information

Q: John says that for any square matrix A, (A + I )3 = A3 + 3A2 + 3A + I Is he correct? If he is, ple...

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Q: 97 voters are asked to rank four brands of cereal: A, B, C, and D. The votes are summarized in the p...

A: Given , The votes are summarized in the preference table shown below. Number of votes 45 25 20 7 ...

Q: Find the area of the region by double integration. he region enclosed by the cardioid r = 2(1 – cos ...

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Q: PRACTICE SET 5 Given: f(x, y, z) = (xy²z+2x³yz - 3xz²) in the direction v = [10,-24 , 16] %3D

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Q: Consider the simplex tableau given below. X1 X2 S1 S2 S3 5 1 4 1 3 1 10 2 1 4 - 6 - 2 5 (A) The pivo...

A: From the given table, we have to find the column where the pivot element is located.  

Q: Evaluate the line integral Jxy + z)ds where c the arc of circle x + y = 4, z= 0 from (2, 0, 0) to (/...

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Q: edR- and P= then R Convergentan P divergent O both Rand parconvergent R divergentand Pconvergent

A: If a matrix is diagonal then it is convergent if absolute value of eigen values is  less than 1 This...

Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector B – 2A. Sketch...

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Q: A mother is now three times as old as her daughter. In 4 years, the mother will be four times as old...

A: Let Mother's age now is M years Daughter's age is D years Given mother is now three times as old as ...

Q: (b) Let n > 2 and let x1, x2, . .. , Xn+1 E R with x¡ # x1 for all 2 - Define the (n+ 1) × (n +1) ma...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

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Q: 8k+2 11k–1 k=1

A: The problem is from series.

Q: 8. The base of a solid is the region bounded by the graphs of y =x², x =2, and y =0. (a) Find the vo...

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Q: Use L'Hospital's Rule to evaluate the given limit. x+x a. lim X--0 sinx b. x-1+ lim -) In x, c. lim ...

A: Let us consider a limit function limx→af(x)g(x) If the limit is of the00 form then L'Hospital rule i...

Q: D Let fi IR"- IRM am isemorphinm and v an eigenvecton of kerresponding to the eigenvalue d. Then: a ...

A: If a function f:V-->V is an isomorphism means f is a linear transformation and f is bijective so ...

Q: 6. A population of fish is living in an environment with limited resources. This environment can onl...

A: Given: Differential equation modelling population of fish, dPdt=kP1-PM1-mP, where M should be the ma...

Q: Find Domain and Range

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...