Draw a picture of Cay({2, 5}:Z8).

Q: 7. Let f(x, y, z) be a continuous function. Write the integral according to the solid shown in the…

A: To Find: The integral for the given solids over a continuous function f(x,y,z).

Q: Show that the set (a cos (r)+bx+cla, b, c E R} is a subspace of the vector space of continuous…

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Q: Problem 3. Let Mnxn (R) denote the vector space of all n x n matrices with real entries. Let S be…

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Q: Find the future value of a simple interest loan of $30,000 at 7.2% interest for 11 months

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Q: 2(y)² =y"(y-1)

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Q: 6. Let fn (n = 1, 2, 3, ...) be respectively: (a) n² X[1 1 (b) (c) X[n] 1 3kX[k,k+1] n k=0

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Q: QUESTION 2 For the function f (x, y) = (3x - 5y2) 5 +exy, find f (x,y) 180(3x - 5y2) 3+ y²exy O15…

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Q: 1. Find the derivative y = ln x

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Q: Question For the function f(x) = ln(1 + 4x³), find a power series for f by integrating the power…

A: A power series is written as ∑n=0∞ anx-an=a0+a1x-a+a2x-a2+a3x-a3+……… where a is the center of the…

Q: : Find a root of f(x) = 3x + sin(x) - e* ? Fig. 5 shows the (x) = 3x + sin(x) - e*. It's clear from…

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Q: Use spherical coordinates to find the volume of the region bounded by the sphere p = 16 cos op and…

A: Solution :-

Q: a(x) = 2 if x is a rational number a(x)=x if x is an irrational number Only draw graph

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Q: Jos f = 0. Prove that f = 0 a.e. 12. Let f≥ 0 and measurable over E. Let ∞

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Q: Give a possible formula for the function shown in the graph. 3π 4 wwwwwwwwww y = 75 4 .……………….…..…

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Q: This is not a correct representation. I know how to get to this part. What is the representation of…

A: We have to find the power series of f(x)=ln(1+4x3) using integration of f'(x)

Q: 4. Newton's Law of Cooling Suppose that an object initially having a temperature of 20 °C is placed…

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Q: If you buy a computer directly from the manufacturer for $3,382 and agree to repay it in 60 equal…

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Q: Let f(x) = (x - 1)2k+1 (2k + 1)5k Find (a) the radius of convergence of the series defining f(x) (b)…

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Q: B. Solve the problems related to the application of First Order Differential Equations. 6. R-C…

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Q: problem and find its transpose. Use "f" for the transpose. Minimize g = 4y₁ + 3y2 subject to 31 + y2…

A: Primal problem Min Zx=cixi subjected to Ax≥bxi≥0 Dual Problem Max Zy=bTiyi subjected to  ATy≤cTyi≥0…

Q: Find the Jacobian a) x = 5u b) x = e¯r sin 0 ; y = eº cos 0 c) x = u/v, y = v/w; z = w/u of the…

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Q: x2 +4x-8 3x² - 3x + 5 = 2 COIN 3

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Q: mpute(g(x)), f(x)= x³, g(x) = 6x - 1 30. f(x)=√x, g(x)=x² + 1 31. f(x) = g(x)=1-x² where f(x) and…

A: Note: f∘g(x)=f(g(x)) ddxxn=nxn-1

Q: Can you show the step by step explanation/solution of how you solved for the Z values and how did…

A: Draw line 6x+7.5y≤1200 Point on x axis :- y=0 x=200 So point is C(200,0)   Now we have constrain of…

Q: Evaluate (2i + 1)2¹ in a closed form. Justify your answer.

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Q: Evaluate the following limit by expressing it as the limit of the right endpoint approximation of an…

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Q: Determine whether the following statements are TRUE, FALSE, OR INDETERMINATE (could be either true…

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Q: (b) ƒ(AnB) ≤ f(A) Ñ ƒ(B)

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Q: 6. Let fn (n = 1, 2, 3, ...) be respectively: (a) n²X[²]

A: We shall solve one question only. For others kindly post again by mentioning properly

Q: • Now, find the equation of the tangent line at a = -2, and the equation of the secant line for the…

A: The given function is f(x)=400e-0.05x+10. (I)  To Find: equation for tangent line at a=-2. To Find:…

Q: Problem 7 Consider the following problem minimize log(y² – x²) x² + y² ≤ 1 2x - y ≤0 y ≥ 1/2 x ≥ 0…

A: The given problem is to find the minimize of the given function over the given constraints. we can…

Q: 2x²³²y" + 3xy + (2x-1)y=0

A: The given problem is to solve the given differential equation using forbenius method.

Q: Determine whether the sequence or series converges or diverges. If it converges, find its value.…

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Q: a) Factorize x²-3x - 10 b) Solve the equation x²-3x - 10 = 0

A: Solution a x2-3x-10 = x2-5x+2x-10 = x(x-5)+2(x-5) = (x+2)(x-5)

Q: 7. The height in meters of a projectile shot vertically upward from a point 2 m above the ground…

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Q: Describe the definition of function abs.

A: We have to describe the definition of abs function. We usually write the abs function as absx for…

Q: 2 x² In (x) dx ₁ u = ln For a = 11, find S sin ³ ax cos ter value = 0 the integ keep ax dx of…

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Q: Problem 1 Solve the following system of non-linear equations via Newton-Raphson. Write the updates…

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Q: Find the inverse Laplace transform of F₁ (s) (s+3)2

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Q: Find The derivative fog : 3 Ⓒ y = (3x -x ²+1) " 0 = 3r+2 2r+3 Ⓒ ² = √√√₁+√x (3

A: According to guidelines we only need to solve the first three subpart of question no 1. Rest of the…

Q: Let B = {(1, 3), (-2,-2)} and B' = {(-12, 0), (-4,4)} be bases for R2, and let - [²9] 43 be the…

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Q: Given a function f(x,y) with bounds 1 ≤ x ≤ e^2 and lny ≤ y ≤ 2, reverse its integration order if…

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Q: 4 Differential equations What value do the constants a and b have to be, for the function f(x, y) =…

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Q: A mobile plan charges a base monthly fee of $19.00 for the first 475 minutes of air time plus a…

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Q: Let A, B be subsets of a universal set U. Prove that if ACB, then Bc C A. Be sure to consider the…

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Q: Let f20 and measurable over E. Let f = 0. Prove that f = 0 a.e.

A: Given: Let f≥0 and measurable over E. Let ∫Ef=0. To Prove: We have to prove that f=0 almost…

Q: 1. Population Growth The population of mosquitoes in a certain area increases at a rate proportional…

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Q: 18. (October 10, 2020 falls on a Saturday and December 1, 2020 falls on a Wednesday) IF AND ONLY IF…

A: This is a question from Propositional Logic.

Q: 4x=22(mod10)

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Q: nsin(4/n) determine if the sequence converges or diverges.

A: I have given the answer in the next step. Hope you understand that

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.