Use Gauss's law to find the charge contained in the solid hemisphere x² + y² + z²

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Q: In each of Problems 14 through 20, find all eigenvalues and eigenvectors of the given matrix. 5 3 3…

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Q: Use Gauss's law to find the charge contained in the solid hemisphere x² + y² + z² s a², z ≥ 0, if…

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Q: D. Determine whether each of the following series are absolutely convergent, conditionally…

A: Solution :- ∑n=0∞ -3n3n2+6nThe series has positive and negative elements, check for…

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A: Diagonalization of the matrix

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Q: Calculate the rest of 12021 + 22021 + 3202¹ by dividing by 11

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Q: INTE 1. Is the number 97 even or odd? why 2. Is the number 166 even or odd? why 3. Do the numbers 97…

A: Even numbers are those numbers which are divisible by 2 or leaves no or 0 as remainder when divided…

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Q: D. Determine whether each of the following series are absolutely convergent, conditionally…

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Q: Use Fourier series to evaluate the following infinite sums 1 1 1 4₁=1++: + + ...8 8 27 64 1 1 1 1₂ =…

A: We will be using the Fourier series to evaluate the following infinite sum.…

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Q: b) Determine the type of the given equation: xxx +(x-2)2xy + y

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Q: Solve using undetermined coefficients: (D^4 + 4D^2)y = 48x + 96sin2x

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Q: please show all work 3. Consider the following matrix: B =  (a) Does this matrix have an…

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Q: In this problem you will solve the nonhomogeneous system ÿ' = 5 4] -3 ý + -4e1 3et |

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Q: 1. Let m € Z'. Show that = 721 is an equivalence relation on Z.

A: For m∈ℤ+, The given relation is congruence modulo m. To Prove: the relation is an equivalence…

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Q: Exercise 16.1.7. Suppose that p is a prime, and g is a generator of U(p). Consider the function h:…

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Q: 1) Definitions. The graph below shows 5 cities. The weights on the edges represent the airfare for a…

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Q: Using the hypothesis method, Solve the following equation: 2 (D²₁ (D³²-1) Y = x ²

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Q: 1. For the matrices A and B given: 2 -3 5] 1 58-1²1 -2] 3 B = A = (a) Find the determinants of A and…

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Q: = 2f X Discuss the monotonicity of g(x), where g(x) 2 + f(6-x²) Vxe R. It is given that f"(x) > 0Vxe…

A: g(x) = 2f(x2/2) + f(6 - x2)  => g'(x) = 2xf'(x2/2) - 2xf'(6 - x2)                = 2x[f'(x2/2) -…

Q: Let A = {1,2,3}, B = {4,5,6}, C = {7, 8, 9, 10}. The functions f : A → C and g: B → C are defined by…

A: Given that A={1,2,3},  B={4,5,6},  C={7,8,9,10} The function f : A→B and g : B→C are defined by…

Q: Compute the integral $12)=3/2 (2¹0 + 1)(2+2+1) (z¹2 i) dz

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Q: solve#3 please! SHow all of your work on pictures and show every step. SHOW WHAT METHOS YOU USE SHOW…

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Q: In the additive group of the integers modulo 12, the inverse of 5 is a) 4 b) 6 c) 5 d) 7 e) 10

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Q: Let the terms a1, A2, A3,..., ,an be in G.P. with con Let S denote the sum of first k terms of this…

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Q: 2. Prove that the series (111 is not absolutely Jn (Inn13 Convergent. M=2

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Q: A person has a weekly salary of X dollars, and gets a raise of 16% which is worth $ 41, calculate x,…

A: Solution :- Given weekly salary = X dollars Getting raise of 16 % , which is equal to 41

Q: 4. The linear homogeneous differential equation with constant coefficients y" -3y" - 4y' +12y = 0…

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Q: Make a change of variable, x = Py, that transforms the quadratic form 6x +18x1x2 + 6x2 into a…

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Q: If f(x) = 5 2 1 X Next - lim f(x) = 1 I→2 None of these. x, when x = 2 3 , when x > 2 " O f(x) is…

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Q: Given, f(x)=x2-4x, [−4,8]. Find R3,L3,and M3 and give accompanying accurate sketches

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Q: 1- How many roots does each of the following equations has? a- Cos x=e* b- e*= 1+ Sin x c- Inx=x² d-…

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Q: Evaluate the integral: S ○ In (√2-1) O In sec 0 + tan 0| + C O √2-In (√2+1) O √2+In (√2+1) 2x-x2 (x²…

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Q: Find a basis for the eigenspace corresponding to the eigenvalue of A given below. 70 10 30 30 A = 5…

A: Given: There is a matrix A = 701055303-3302-2-26. To find: One has to find the basis of eigenspace…

Q: Solve 7 cos(20) = 7 sin² (0) + 1 for all solutions 0 < 0 < 2π. 0 =

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