For the given function 6=x²yz C=3x²yi+yz²j-xzk and Find 82 Sysz (c) at point (1, -2, -1).

Q: +3u +5u -u +10u =0 is of 6. Show that the equation 3u -2u +2u-2u -21x₂x3 xqJ₂ x-x₂ elliptic type by…

A: Coefficients of fifth term of tha last expression will be negative

Q: Let K be the field of complex numbers G (KF) and fixed field of G (KF).

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Q: ters represent 2 × .7?

A: Given as,

Q: Determine the Fourier Series of the function f(x)= |x|, -3 ≤ x ≤ 3, f(x) = f(x+6).

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Q: Let X and Y be two topological spaces. X is connected and Y is disconnected are they homotopy…

A: Homotopy equivalence  Two topological spaces X and Y are said to be Homotopy equivalent if there…

Q: There is considerable evidence to support the theory that for some species there is a minimum…

A: Given- There is considerable evidence to support the theory that for some species there is minimum…

Q: ? For the sequence 2, 8, 32, ...; Write the formula for the general term and use it to find ts

A: To find the general term and 8th term  of the given sequence :-

Q: 5) Suppose that f(0.75) = f(0.25) = ß if the composite trapezoidal rule with n=2 gives the value 4…

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Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) IIAMAAde Ouation n. Interval: 0<=x<=pi

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Q: Let x, y € R" be given. (a) If ||z||||y||=1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1 and ||y||…

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Q: Let D be the portion of z = 2x + 5y inside z2 + y² = 1, oriented up, and let F = (y, z, -z). Compute…

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Q: 9) If f(z)=u-iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

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Q: 4. In some states,license plates consist of 3 letters followed by 2 or 3 digits (for example, JWK-…

A: Given: 4) License plates consist of 3 letters followed by 2 or three digits. To find: How many such…

Q: (B) Give an example for a commutative ring with identity.

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Q: Problem no7 Findy as fired 2x²y" - 5ay - 7y=0; y(i)= 3 . у= і ўсі)=

A: To solve the below differential equation. x2y''−5xy'−7y=0, y1=3, y'1=9

Q: 3. Determine if b is a linear combination of a₁, a2, and a3. 2 3 a1 = 1 , A2 = 2 , az = 1 b= 4 1 1 0…

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Q: 3 6 0 3 3 3 3396 3 3 3 X 3 = 9

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Q: Find general solutions for the given differential equations 6. (x+22³)dx + (y-2y2)dy = 0. 7. y' -…

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Q: Find solutions which satisfy initial conditions: 13. y' + y = 0, y(0) = 1, y'(0) = 0; 14. y" - y =…

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Q: Suppose that h is differentiable and h(x + y) = h(x)h(y). Find a formula for h'(x)consisting of a…

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Q: 2n Using the expansion of (1 + x)² and given that 2nC₁ + 2(²nC₂) + 3(2n C3) + ... + 2n(2nC₂n) +…

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Q: 1) Identify whether the given set is a well-defined or not. a. Factors of 50 b. Even number c. Happy…

A: Set: A well-defined collection of objects or elements is called a set. We can represent a set in…

Q: tan x-4 What is the slope of the tangent line that touches the curve f(x) = where x=5? Round your…

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Q: If T: H→→H is a bounded self-adjoint linear operator and T‡0, then T"#0. Prove this (a) for n = 2,…

A: Given T:H→H is a bounded self-adjoint linear operator and T≠0. We know that if T is a self adjoint…

Q: Q3. Test the following series for being convergent or divergent: (2) Σ (3η)! n!(n+1)!(n+2)! (c) Σ…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. y = 2², x² + z²₁ y =…

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Q: Define g(-5) in a way that extends g(x)= 9(-5) = x² - 25 x + 8x + 15 to be continuous at x = -5.

A: We have to define g(-5) such that g(x) is continuous at x = -5.

Q: The universal relation A x A on A is an equivalence relation anti-symmetric a partial ordering…

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Q: 4. Evaluate and convert into polar form. √√2+ = = = 3 2i -√8-2²/1 3

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Q: Let a ER. Solve the inequality for real values of x. log[x] (x − a) +log[x] (x+a) <0 [...] floor…

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Q: a. The total cost of 11 pencils and 3 erasers is $64 and the total cost of 8 pencils and 3 erasers…

A: Given that  The total cost of 11 pencils and 3 erasers is $64 The total cost of 8 pencils and 3…

Q: Consider the surface S shown on the graph, whose parameterization is given by: r(u, v) = (v², uv,…

A: Given- Consider the surface S shown on the graph, whose parameterization is given by:  ru, v = v2,…

Q: 3. Show that the vectors v₁ = (0, 3, 1, -1); v₂ (6, 0, 5, 1); v =(4, -7, 1, 3) form a linearly…

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Q: The degree of precision of the following quadrature formula is: Ο 2 Ο 4 Ο 3 Οι Ο Ο Ο Ο 3h 3h Jo"fdx…

A: Given quadrature formula is ∫03hfxdx=3h4f0+3f2h. Let fx=1 then f0=1=f2h. ∫03hfxdx=∫03h1dx=x03h=3h.…

Q: Create a cartesian equation of a line in R using the digits (6,-5,-4). o Find a NEW cartesian…

A: As per the question first we have to construct a cartesian equation of line in R2 using the digits…

Q: Example of a function that is dot convergent but not uniformly convergent

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Q: 8. Show that for any orthonormal sequence F in a separable Hilbert space H there is a total…

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Q: n 18. Let H be a subgroup of all automorphisms of a field K. Then the fixed field d of K.

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Q: 9) If f(z)=u-iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

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Q: • Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7,-1,8) lie on…

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Q: Proldom nog y(x) Find y as frofx ly "" + 64y' = 0; y(0); y'(0) = 24; y²¹ (0) = 0 ia (32) ma 08-…

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Q: Which of the following shows the correct substitution of the variable u into the integral S₁ x√3x -…

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Q: Find general solutions 17. y" - 4y = -12r² +6x-4; 18. y"+y+y = -13 sin(2x); 19. yy=e+xz; 20. y" - 4y…

A: 19)  We have given a differential equation ,  y'' - y = ex + x First we will find complementary…

Q: 2x=4(mod 7) The values of X that makes the statement true is/are Or there’s no solution

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Q: (b) Determine x(Cn, k), the number of k colourings of the cycle Cn with n vertices, for n> 3.

A: (b)  We can do this directly using the principle of inclusion-exclusion. Labelthe vertices of Cn…

Q: 8. Given the parallelogram ABCD below, with E and F the midpoints of sides AB and CD, AF||EC, and BP…

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Q: 2 1. det C = 2 4 5 123 14 6 81 det F = 47 15 5 21

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Q: › affine space (E‚È‚+), let (ai)ie is linearly independent for some i

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Q: Use your learning on exponential functions to answer the following: 1. You take out Php 20,000 loan…

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

Q: 7.) Solve а) y'+y'-by=0 6-) у"-ну' +13y=0 с.) у" -бу' +ац=0

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