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Q: Let M be the portion of the cylinder x² + z² = 1, 0 ≤ y ≤ 3, oriented by unit normal N = (x, 0, z).…

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Q: Let A = {1, 2, 3, 4, 5). Determine the truth value of each of the following statements: 2. 1. (3x A)…

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Q: Use the root test to determine whether the series n=1 Since lim 4 888 7n³-n-2 3n²+n+4 n converges or…

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Q: Solve using Gaussian Elimination with back-substitution or Gauss J 5x1 + 2x2 + x3 = 0 2x1 + x2 = 3 O…

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Q: III. In the figure below, locate where daca(P) is. Your illustration should contain the line segment…

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Q: 80% 1 75° 2

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Q: For the following question, state 2 different ways that you can solve this problem. DO NOT SOLVE.…

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Q: Evaluate the following.      Solve for A ^-1 using co factor method

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Q: Q7 The target thickness of aluminum sheets produced by a machine is 5 mm. A sample of 50 sheets is…

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Q: Q5: find the Fourier series of the following equation -X - 1<x<0 f(x) = {x 0<x< 1 1<x<3

A: We have to find the Fourier series of the given function  fx=-x-1&lt;x&lt;0x 0&lt;x&lt;111&lt;x&lt;3

Q: 39-40. Given the following constraints as shown in the graph below. At which point is the cost…

A: For the given problem the feasible region is region-3 .

Q: 1. (a) Find the domain and range of f. (b) Draw a contour map of f for k=-1,0,1. (c) Sketch the…

A: (a) For the given function, f(x,y)=y+x+2, Assume f(x,y)=z; Here,  z=y+x+2 The domain of z has all…

Q: Theorem (Lebesgue dominated convergence theorem) Let {f} be a sequence of mea- surable functions…

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Q: llowing is the historical data of inf

A: Given, Year Inflation rate 2019 2.01% 2017 2.91% 2015 1.23% 2013 2.96% 2011 5.48%…

Q: The value of the triple integral (x² + y²)dV where E is the E portion of x² + y² + z² = 4 with 0 ≤ y…

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Q: A Cauchy sequence f} in L₂ converges to an element f in L₂

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Q: The half-life of a radioactive radium is 1650 * years, what percentage of the amount present now…

A: Here first we find rate of decay rate using half life formula t12=-1rln12wheret12=half lifer= decay…

Q: Q5: find the Fourier series of the following equation - 1<x<0 f(x) = {x - {* 0<x< 1 1<x<3 1

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Q: Find the centre of mass of the 2D shape bounded by the lines y = +1.1x between x = 0 to 3.1. Assume…

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Q: Let = e²i/n be an n-th root of unity. Show that (k(1-n) Resck (27²1) n for all 0 <k<n-1. =

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Q: Find the rate of change of the function fin the direction of PA. Also find the maximum value of that…

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Q: Use differentiation and/or integration to express the following function as a power series (centered…

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Q: 3. (a) Construct a graph with six vertices and degree sequence 1, 1. 2. 2. 3. 3. (b) Construct a…

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Q: 10. (A is the relation defined on Z as follows: for all x, y e Z, x Ay ⇒x=y (mod 3). Describe the…

A: This is a problem of Relation.

Q: P21. The y-axis and the line x = c are the banks of a river whose current has uniform speed a in the…

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Q: for 0≤t≤2, 3 fort≥2 f(t) = {1-3

A: To find the laplace transform of given f(t) we will use the definition of laplace transform and then…

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Q: Suppose that we have 100 apples. In order to determine the integrity of the entire batch of apples,…

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Q: 3+j4) (2-j4) In ( (final answer should be in rectangular form)

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Q: 1. function f from {a, b, c, d] to itself, where f(a) = d, f(b) = b, f(c) = a, f(d) = c 2. f: ZxZ→…

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Q: Draw the region of integration. Then evaluate the double integral using polar coordinates. Sex² + y²…

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Q: Solve the system of differential equations. X1' = 6x1 + 2x2 = - 2x1 - 10x2 x1 (0) = 2, x₂(0) = 22 x₁…

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Q: 8. ) Draw the directed graph of the binary relation S on B = { a, b, c, d, e} by S = {(a, b),(b,…

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Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

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Q: A bowl of porridge at 195°F (too hot) is placed in a 75°F room. Two minutes later the porridge has…

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Q: Solve the following linear equ 2x, +8x₂+2x, = 14 6x, +6x₂-x₂ = 13 2x₁ + x₂ + 2x, =S

A: Given system 2x1+8x2+2x3=146x1+6x2-x3=132x1+x2+2x3=5 Augmented Matrix 2821466-1132125

Q: Find the solution to the initial value problem y'=x²-, y(2) = 3.

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Q: +2: = 3

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Q: Suppose an image is saved as a matrix with a Singular Value Decomposition: A = USVT. Let the vector…

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Q: 6. Find the volume inside the paraboloid z = 9-x² - y², outside the cylinder x² + y² = 4, above the…

A: Relation between rectangular and polar coordinate  x=rcosθy=r sinθx2+y2=r2θ=tan-1yxdxdy=rdrdθ

Q: 3. Suppose i h(x, y) log(3x) Actan (¹) Find h(x, y), hay(x, y), and

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Q: Find the root of the equation x-x-10=0 using chebyshev method.

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Q: f(t) = sin8tsin6t

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Q: b) Consider the following metric: ds² = e²A(r) dt² - e²B(r) dr² — r² (d0² + sin² 0do²), with A(r)…

A: Solution :Consider the following 4D-curved spacetime metric.ds2 =…