EXER 7: MATRICES Prove that if N is invertible then MN¹ = N¹M if and only if MN=NM.
Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…
A: x=ρsinϕcosθ y=ρsinϕsinθ z=ρcosϕ For the cone: z=√(3(x2+y2)) or ρcosφ=√3sinφ=> tanφ=1/√3 or φ=π/6.…
Q: Q.7 (a) Obtain the Fourier series of the function f(x) (b) Show that, fcdu=e¹.x > 0. = {1,05x5
A: Using the Fourier cosine integral representation for the result of (b)
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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…
A: We can solve this using given information
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Q: find solution using direct integral method for the partial differential equation below: 2³ z 1 = 12…
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Q: to evaluate the following: - f(t³-4t² + 5t + 32) sin(t)dt (B) Use Tabular integration
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A: We use the definition of cosets, isomorphisms to answer these questions. The detailed answer well…
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A: Solution :
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Q: Q4) Find the root of f(x)= (x^2)-5, in interval [0,4] by using bisection method.
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Q: We have a semigroup (M, *), where M = R- {k} a a b = a + b-kab. Find also that, (M, *) is a group.…
A: Semi group will be a group if there exist an identity element and every element has inverse.
Q: If you don't mind, could you tell me which graphing software you used to do this and the input…
A: To explain the graphing utility used in the given problem.
Q: 1. Use the Modified Euler's method to find y when x = 0.1 to 0.2 given that = dy dx √x + y for y(0)…
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Q: Your parents helped you buy a car. You were supposed to pay then back $2000 sixty days ago and $1800…
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Q: (B) let y = 3sin5x-2cos5x show that y + 25y = 0
A: Here we use basic differentiation to prove this
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Q: Find the value of X(1) for the initial-value problem X d.x dt x(0.5) = 1 2(t+1) using Euler's method…
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A: Since you have asked multiple sub-questions, we will solve the first three sub-parts for you. If you…
Q: Q1: If the function f(x) define as f:R → R such that f(x) = x+1, x>2 x²-1, x≤2 Show that the…
A: O
Q: - A quadratic equation x¹-x-8=0 is defined with an initial guess of 1 and 2. Find the approximated…
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Q: find solution using direct integral method for the partial differential equation below: J³Z 1 = 12…
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Q: Let X = {6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 z e N, x + z = y}, where…
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Q: Use the secant method to estimate the root of the f(x) = 3x + sinx - ex llowing brahi function:
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Q: Solve the following non-linear equations: 2 100x₁ - 10x₂² + 5x3³ = 70 3x₁² + 10x₂-X₁X3 = 5 X₁X₂ +…
A: Thank you for the question. According to our guidelines we can answer only first question and…
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A: We have to solve given problems:
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A: Problem is solved using concept of second-order Adams-Bashsorth Method.
Q: 3) A curve C is the boundary of a shaded region D which defined by y = 2x² - 4 and y = 2x in…
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Q: and if the rectum AB-AC втс Sos LABSBC and Bстав 2 AB & B Cund BC CAB з авж вс 4AB-Вс 5 All of the…
A: Follow the steps.
Q: Determine the antiderivatives of the following functions: 1. f(x + 1)100 dx 2. f(x² + x)¹0 (2x +…
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Q: 2Fn>Fn+1 for n>3 true or false?
A: Given, 2Fn>Fn+1 for n>3
Q: 11. In each of the following, express the required series in summation notation (a) Obtain the…
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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…
A: We will use relation between cartesian and cylindrical co ordinate system x=r cosθ , y=r sinθ , z=z…
Q: A) Consider the vector-field F(x, y) = 2xy³i+ 3y²x²j. 1. Show that F is conservative. 2. Find a…
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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…
A: given curves 0≤x≤10≤y≤1-x20≤z≤4-x2+y2 claim- set up the triple integral and draw the solid
Q: (MATRICES) Solve the following problems as directed. Show complete solutions and box the final…
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Q: 10. The set of automorphisms of a group is a group under the operation of function composition. True…
A: Isomorphism : A bijective mapping that preserves binary compositions in both groups is called…
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Q: Let X = (6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 z € N, x+z=y}, where N…
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Q: In how many ways can 7 beads can be arranged to form a necklace?
A: We have to arrange 7 beads in a circle so that we can form a necklace. Now we fix one bead and the…
Q: 5. In how many ways can 7 boys be seated in a circular order?
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Q: 1. Consider the system of linear equations below: 5x-4y+2z=21 -x-5y+6z=-24 -x-4y+5z=-21 a. Solve the…
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