TO LINEAR SYSTEN If A has rank r, then it has r x r submatrix S that is O a. Singular Ob. Invertible Oc. Symmetric Od. Skew-Symmetric

Q: When using Bernoulli's DE, the resulting DE is often what type? Separable DE O Homogenous DE Linear…

A: We have to find out that when using Bernoulli's differential equation, the resulting DE is often…

Q: find the valups of 'a'and b' that nakes 8x2+ 8 x2+ +5 X L-1 K(x)== 6 x= -1 con tinuous at x =-| x 7-…

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Q: 2. Evaluate the following integral dz (a) Sc z²+2z+2' sin z (b) Sc where C is the square having…

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1 The…

Q: d the area of the specified region. 9) Inside the outer loop and outside the inner loop of the…

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Q: Find the Uolume of the Solid under de the 2:1+ xy2 & the a Gove te region Sorface en cased by y= x²…

A: Consider the given surface z=1+x2 y2 Since, y=1 and y=x2 Then, x=±1 That is, -1≤x≤1  and    x2≤y≤1

Q: ECR 9s a sordon Area cvol CE) =V0ICE) ean Yntegraole on E Sand 主 After thet desariptron. 1ntegroble…

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Q: One of the following regions guarantees the uniqueness theorem of first order I.V.P. dy dx 2x-y .…

A: Given: The initial value problem:

Q: The functian gi (E) rs a indicated solutio u of the given differeatlal equution Use the methed ol…

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Q: az əz 1. ax' dy If z = In(e* + e"), show that %3D %3D

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

Q: Consider the following inner product: (S, 9) = /.2 f(x)g(x) VI dx. Show that the set of functions…

A: We will prove the given statement.

Q: 11 Compute the integral Sre dzdy (Hint: Change the order) 0 y a)3(e – 1) b)(e – 1) c) d) e)3(1 – e)

A: Explanation of the answer is as follows

Q: 5. Consider the set S = {(x, y, z) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 2x², 0 ≤ z ≤ x + 3y}. Prove that S is a…

A: Given: S=(x,y,z)|0≤x≤1 , 0≤y≤2x2 , 0≤z≤x+3y To prove that S is a Jordan region and to integrate the…

Q: Given n > 1, define f(z) = 1/z" for z +0. Show that f(z) = U(r, 0) + iV(r, 0) for cos(no) sin(no)…

A: We know that any point in the complex plane can be written in terms of polar coordinates in the…

Q: Find the area +6 C1 R -6 +6 C2: 4x2 + y² = 16 -6 using green's theorem.

A: We are given the above region of which we need to find the area and as per the instruction, we need…

Q: Use LT  and one other method  to find the PS of x' = y +z+1   y' = z+ x + 1 Z'= x+y+ 1    with…

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Q: In AKLM, R is the centroid. If RQ=10 find LQ. L N P R K M

A: In ∆KLM The centroid of a triangle is "R". The length of the RQ=10. The objective is to find the…

Q: Suppose h(z) is analytic at z = 0 with h(0) = 4, h'(0) = i and h" (0) = 2 Compute the following…

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Q: For the proble m ; O WP N by y=4x and y -x3 abolut the method Cdisk / shell ln would you use to…

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Q: Every E Jordan that is an undirected piecewise smooth curve of the topological n r clock for the…

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Q: Find the product of the integral 1- S x²cos(xy)dxdy

A: We have to change order of integration first.

Q: egral dS over the su 9, where n is th surface element

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Q: . Let C be the triangle with vertices (0,0), (2,0), (0,4) directed counter-clockwise, and let F(x,…

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Q: Let C be the triangle with vertices (0,0), (2,0), (0,4) directed counter-clockwise, and let F(x, y)…

A: C be the triangle with vertices 0,0,(2,0), and 0,4. and F(x,y)=ey2+2x,4y+sin1+x3. we have to…

Q: Find the sum c+d for the following cubic spiine S(X) with natural boundary conditions: Uygulamayı b…

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Q: One of the following regions guarantees the uniqueness theorem of first order LV.P. 2x-y y(0)=23. dx…

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Q: Find the areas under the curve to the left of the given Z's. 1. Z = - 2.40 2. Z= - 1. 59 3. Z = -…

A: Required probability is P(Z>-2.40)

Q: Given the field D = 6sin 0.50 a, + 1.5p cos 0.50 a, C/m². Show the divergence theorem is true for…

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Q: Compute Lf (P) and Uf (P) for the indicated partition. NOTE: Type pi or use the calcPad symbol for t…

A: calculate the Lf(P), Uf(P)

Q: If C= 2. 2. then %3D No ? N ? is normal Yes or is hermition. c is wnitory invertible. N? is N2 is…

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Q: find the product of the integral 1- ' pln(7) xy eyx dydx

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Q: Without using the formula (Gauss), calculate E∫∇.F(x)dx where  F(x) = x32k, E :x12+x22≤ x3, 0≤x3≤1…

A: We are asked to find the integral ∫E∇·Fxdx where Fx=x32k^, dx=dx1dx2dx3 and E is the solid bounded…

Q: If /has an isolated singularity at z a and /(2)- an(z-a)" is its Laurent's expansion about z a. Then…

A: We are provided that f has isolated singularity at z=a. The Laurent's expansion about…

Q: Find the difference 2c-d for the following cubic spline S(x) with natural boundary conditions: So(x)…

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Q: Find the area of the specified region. sec e Inside the dircle r 3 and to the right of the line r =…

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Q: which of the sets is orthvoonal under the given inner product on C[0, 1] ? = S furgex) dx I. {1,…

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Q: of the ne Joint constant on the region (x, y) : x > 0n yleql n-0.5 < x - y < 0, sho in the image…

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Q: 31. f sen z - sen z dz tag z dz dz cos z -In lcos z + C = In jsec z + C %3D %3D cos z

A: Topic- indefinite integration of trigonometry function

Q: in order to find c2. Let f"(x) = 6x – cos x, f'(0) = 2, and f(0) = 5. Find f(x). (b) %3D %3D 0(10) A…

A: It is given that

Q: Compute eC for 0 -3 0 =3 0 0 -4 0 4

A: The characteristics polynomial of C is pz=z3+25zThe green function for D3+25D is…

Q: 17. Let R be the region between the graphs of y = 1 + e* and y = 1-e* on [0, In 2]. Find the center…

A: Here, f(x)= 1+ex g(x)=1-e-x a=0 and b=ln2

Q: 5. Evaluate the integral fffn 7 dzdydr, where R is the region enclosed by ² + y? 2 = Zz²+y² .

A: To convert the cartesian plane into cylindrical coordinates, Put and

Q: Q: A) Show Ih at W= a b qbceIR] is a Sub SP ceaf 2x2 ma mces SPace

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Find the sum c+d for the following cubic spline S(x) with natural boundary conditions: So(x) = 1+x +…

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Q: Consider I =E∫x32dx1dx2dx3 , where x12 + x22 ≤ x32 , 0 ≤ x3 ≤ 1 ,that is, E is the solid bounded by…

A: To evaluate I=∭Ex32dx1dx2dx3 where E is the solid bounded by the cone x12+x22=x32, the planes x3=0…

Q: Let A= R- {o,}. det G = {4, t, qf where 1: A> A defined by icx)> x z¢A L+ ズ-A fex) = 1ーメ+x-A 1-X 9:A…

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Q: which of the sets is orthvoonal under the given inner product on C[0, T] ? = S fusgıx) dx I. {1,…

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Q: The values of m and k that makes the ODE (yx+ )d ym = x*(ny)-In(x*) dy %3D homogeneous are m=-3, k=4…

A: Given ODE is said to be Homogeneous if they can put in the form dydx=fyx . Since we have…

Q: z is a complex variable z=x+iy pic attached with question

A: To establish the analycity of the  function under the given conditions.