Use the divergence theorem to find the outward flux of F across the boundary of the region D. F=x³i-3x²yj+7xzk 2 D: The region cut from the first octant by the sphere x² + y² + z² = 4

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A: Here S and T are symmetric positive define and ST might not even be symmetric. But its eigenvalues…

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Q: 1. Let E be a measurable subset of [0, 1) and E+ y for y = [0, 1) be a translation modulo 1 of E.…

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Q: 2. Solve the initial value problem 7¹ = [73] + [3] - X with X (0) = [1¹]

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Q: H.W: Find divided differences tables for the following data: 1. (1.6,0.625), (2.9,0.3448),…

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Q: Solve the wave equation a2_ u(x, 0) = u(x, t) = 0 a²u ах2 u(0, t) = 0, u(L, t) = 0 6hx L |6h(1 - 1),…

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Q: QUESTION 2 · પ્×૦, ૦૮૪૮૭, ૦૯૪૨૭, Which one is true for(0,y)-0, ula.v)-0. ulx,0)-0, u(x,b)-f(x).…

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Q: An random experiment consists of marking a point randomly inside a half-circle with a radius of 1,…

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Q: Let the surface S be part of the cone z2 = x2 + y2 which is inside the cylinder x2 + y2 = 2y,…

A: Let the surface S be part of the cone z2 = x2 + y2  and inside the cylinder x2 + y2 = 2y, outside…

Q: Exercise 12.3.4. Consider the matrix Re = for the scalar variable 8. Find the characteristic…

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Q: Let W be the set of all vectors of the form 2c 3 b - k 3 C where b and ceR. Find vectors u and v…

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Q: (a) Find the equation of the straight line y = ao + a₁t which best fits the following points: t Y 1…

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Q: For the given data, the displacement, d, in mm at the mid-point of a rectangular beam was measured…

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Q: 1. Use the following situation to answer each question. a. Jules is in the business of constructing…

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Q: The values of a period 2 function f(t) in one full period are given. Sketch several periods of its…

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Q: Prove by induction that Σ₁(5¹ + 4) = 1/(5¹+¹ + 16n − 5) -

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Q: 4. Practice similar Help me with this

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Q: The chord AB of the parabola y² = 4ax cuts the axis of the parabola at C. IfA = (at², 2at), B =…

A: Given that y2= 4ax is parabola and its chord cut the axis of parabola at a point C. and we have that…

Q: Which of the following values of k satisfies the following matrix equation? (a) 2 (b) 1 1 1 0 (k 1 1…

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Q: -9 27 Let A = [ ]-[:] -3 9 and w= Determine if w is in Col(A). Is w in Nul(A)? Determine if w is in…

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Q: Prove by induction that Σ²₁(5² + 4) = (5″+¹ + 16n − 5) -

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Q: 2. Given the equation above, find matrix A 0 23 14 34-9] A = 2

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Q: 8. Given the matrix B= 1 1 1 111 Which of the following matrices solves X in the matrix equation X +…

A: 8) Given matrix B is

Q: Verify that the following are formulas of sentential logic and identify the main connective. Part…

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Q: Problem 7.5: Using any one method to find the GS of 3et x' (t) = ( ²4₁ ) x (t) + (³²2)

A: According to the given data, find the general solution of X'(t).

Q: What is the z-transform of h(n) = 8(n) - 20(n-1) + (n − 2). a. Z-2+z-1 b. 1-2z1+ 2z-² c. 1-2z¹+z-²…

A: we know that  zδn-a = z-a                         Take a = 0 then  zδn-0 =…

Q: 9. Which of the following values of k satisfies the following matrix equation? (1 1 0 (k 2 1 = 0.…

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Q: Online Shoppers The number of consumers researching products or shopping online is growing steadily.…

A: The number of consumers researching products or shopping online is growing steadily. According to a…

Q: Question 1. Let G = Z₂0 and H =, the subgroup of Z20 generated by 5. 1. What is |G:H|? 2. Find all…

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Q: 15 and the x-axis on the interval [3, 7] using the left endpoints of the Use four rectangles to…

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Q: A B Ⓒ D The augmented matrix 0 0 ear equations which has 15 2 represents a system of lin- 00 0 no…

A: The augmented matrix is: 1-21-301520000. We have to check whether the solution exists or not.

Q: The bearing from city A to city B is S 55°E and the bearing from city B to city C is N 20°E. (See…

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Q: In 2(8)/(11), how many equal part each whole is divided?

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Q: State and prove Littlewood's Third Principle

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Q: The curve C has equation y=x² + bx + 2 where b≥0. Find the value of b that minimizes the distance…

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Q: Let g(x) = f(x)² g'(x) where f(x) >0 for all x. First- and second-derivatives for g are given below:…

A: gx=1fx2g'x=-2f'xfx3g''x=6f'x2fx2-2f''xfx3fx3 fx>0, ∀x

Q: Prove using the short north-east diagonals ↗ or any other mathematical method of your preference,…

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Q: 1 Which of the entries in the matrix 2 -3 A) 4 B D 1 -6 софа -3 -7 9 -61 4 has -37 as its cofactor?…

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Q: x² = y − x(x² + y²)² y' =−x − y(x² + y²) ² Find the system obtained by the change to the polar…

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Q: The vertical distance covered by a rocket from t = 8 to t = 30 seconds is given by .30 (2000 in…

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Q: Let y' = Ay be a system of differential equations where A = The matrix has spectrum A(A) = {-5} and…

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Q: (a) Set up the integral used to evaluate the line integral using a parametric description of C. Use…

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Q: 8) Find an upper bound on the integral where I is |z| = 2 CCW fra dz

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Q: Sketch a nice, neat hyperbolic paraboloid (saddle surface), and under your sketch, tell a special…

A: We are to sketch a nice, neat hyperbolic paraboloid (saddle surface), and under the sketch, we tell…

Q: 4. Show that the trigonometric series 8 n=1 sin na Vn converges for all □ € R but is not the Fourier…

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Q: Q21: Select the incorrect step while calculating definite integral ₁³(x² + e-x) dx as limit of sums.…

A: a+ar+ar²+ar³+....+arn-1=(a(1-rn))/(1-r) .

Q: 1+3+5++ (2n + 1) = (n + 1)².

A: We have to prove the given result and we will do it by mathematical induction