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Q: why ピs{oッ| is Cupve?

A: Solution

Q: HW 1: Find the trigonometric Fourier of the triangular waveform shown over the interval (-TT, T).…

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Q: Problem II Consider the functions f : R? R? cos(x) Question 1 The function f is one-to-one. O True O…

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Q: Aeニ Re= 100A019メ0.02子 7.002*10-3 Re- QResp.V.D 100。*o.2 *0.02子 1.002x (03 Re-P.v.D -10000.238x0.027…

A: 5. Re=1000×0.12×0.0271.002×10-3=3233.53293≈3,234 6. Re=1000×0.14×0.0271.002×10-3=3,772.45508≈3,772…

Q: Taking Clairaut's Theorem into account, how many different partial derivatives of order 5 does a…

A: Given query is to find the numer of possible partial derivative.

Q: Exercise 1: Consider the nonhomogeneous differential equation: y(o) y- 9y(4) = x³ + 2e¬3x (E)

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Q: 4. Let R be the relation in the positive integers

A: 4. Given, R be the relation in the  positive integers ℕ defined by                        R=x, y: x,…

Q: Xe + Xス ハ 9 xg t Bxg < 16 X,メス

A: We have to find the basic solutions and indicate whether the solutions are feasible or not.

Q: Use integral test to determine converges or diverges.

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Q: Find the solution. dy 2y + - :=x?y?sinx dx

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Q: Let D be the region in the first quadrant (z> 0, y> 0) of the ry-plane bounded 3. by the curves y =…

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Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm². What…

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Q: In the design of a certain computer application, a heat flow simulation is required. In the…

A: Given The 1-dimensional heat equation is given as follows ∂u∂t=∂2u∂x2 for all 0≤x≤10 &amp; t≥0 it is…

Q: x - 4y 10. dA, where R is the parallelogram enclosed by the lines x – 4y = 0, x - 3x - y

A: Given, the integral                   ∫∫R10x-4y3x-ydA Where R is a parallelogram enclosed by the…

Q: ve the initial value problem below for fy"(t) + 10ty' (t) + 18y(t) = 0; y(1) = Z %3D e solution is…

A: Given differential equation is t2y''(t) + 10ty'(t) + 18y(t) = 0 with  y(1) = 2, y'(1) = 3

Q: Question 2 Find the standard matrix for the transformation T: R³→ R³ defined by the equation: W; =…

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Q: Given the following table of values of the polynomial f(x), what is the minimum number of zeros of…

A: Introduction: One of the advanced and key properties of a continuous real-valued function is the…

Q: Let x be a continuous random variable with PDF 3 x > 1 x4 fx (x) otherwise Find the mean and…

A: Given PDF is fX(x) = 3x4,x ≥ 10,otherwise

Q: (x+2y³) d 1. = y de d (dy 2y 2. de (de dy +(1-xf-3/2) y = *+V1-x2 %3D de (1-x

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Q: Using Lagrange's formula, find f(1.3) 1 У 1 -1

A: The value of table for x and y x -1 0 1 2 y 1 -1 -1 1

Q: (3a) Let n E Z. Prove that if 3 ł n, then 3|(n² – 1)

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Q: A. Evaluate the following integrals: S tan'x dx 3 1. 4 2. csc* xdx 3. |tan 3x sec 3xdx 4. ſcot'x…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: The loop equations of an electric circuit are given by the linear system of equations: 31, + 21,…

A: Let us consider the system of equation AX=B where A is coefficient matrix , B is constant matrix and…

Q: Solve the following equations: 7x1 – 4x2 + x3 = 1 -4x1 + 6x2 – 4.x3 + X4 = 1 Xi-2 – 4xj-1 + 6.x; –…

A: We have to solve the given equations.

Q: . For n, m 20 and n # m, show S' T.(z)Tm(7). VI- -dr 0 This is called the orthogonality relation for…

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Q: The following table  shows certain values of xx and f(x)f(x) of a particular function. Use it to…

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Q: problem. Maxriniee and mínimize マ= 2x + 3y (1) Subject to スx + y20 X + Zy Z 8 X,Y

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Q: 2. Prove that the number of irreducible fractions not greater than 1 and with denominator equal to n…

A: For the solution of the problem follow the next step.

Q: Q) find Fourier series on [-n,7] (2) ƒ(x)=sinx

A: Note: According to our guidelines we can answer only first question  2)

Q: Find the distance between the centres of the holes in the metal plate in the figure below. Round to…

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Q: Give as good a big-0 estimate as possible for each of the functions below and justify your answer.…

A: Given function a. n2+8(n+1) b. nlogn+n2n3+2 c.n!+2en3+logn2+1 The objective is to estimate big-O…

Q: dw Find ду dw at the point (w, x, y, z) = (3, - 1, - 1, - 1) if w = x3y? + yz-z° and x2 + y? +z? =…

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Q: 3 3 18 Use telescoping series to show that %3D 5 5*+2 25

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Q: Use the currency exchange rates in the table for the following question. Currency British pound…

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Q: 3. Suppose F z = 4 – a? – y? above the r- y plane, oriented upward. Calculate fe F dĩ in two ways:…

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Q: Suppose v1, V2, ..., Vm E V. Prove that {vı, V2, ..., Um}+ = (span(v1, v2,….., Vm))“.

A: Given,v1,v2....vm∈V To prove :      v1,v2....vm⊥=span(v1,v2....vm)⊥⇒v1,v2....vm  is a set of…

Q: Compute for a real root of 2 cos x – sin vx = accurate to 4 significant figures using Fixed-Point…

A: Fixed point of a function is computed by fixed point iteration method. A fixed point will satisfy…

Q: 7. Show that f(x) = 6xª + 12x² + 18 is 2(x*)

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Q: 1-Determine if W is a subspace of Mnn CEMnn, W = {A€Mn: CA°C1 = A} %3D

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Q: The total number of positive integer solution to the equation (x + y + z)(a + b + c + d) = 15 is

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Q: Which of the following is a correct conversion formula when changing from spherical to cylindrical…

A: We know that the following formula are used to change from spherical to cylindrical coordinates:…

Q: 1. We consider a function g(t) that is equal to t for 0 < t < 3. Over this range, g(t) = t. Write…

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Q: Let f: D1(0)- C be analytic on D1(0). Let g(z) = f(z) for z E D1(0). is analytic on D1 (0) and find…

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Q: 2. State sec(cosec) in terms of x. Hence solve the equation 1 sec(cosec) 2х

A: We have to find value of x for given Equation.

Q: Among all the numbers between 20000 and 70000, including the numbers 20000 and 70000, how many each…

A: The total number of numbers between 20,000 and 70,000 is 70,000−20,000+1=50,001. First calculate the…

Q: Let Mn(R) denote the vector space of n X n matrices with real entries. Let f : M22(R) → M22(R) be…

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Q: Determine the first four terms of the Fourier Series for the function f(x) = x,0 <x< 2, in a half

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Q: Example 1: Graph f(x) = x', and determine the domain and range of f. Solution: f(x) -3 -2 -1 3…

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Q: Triangles ABC and DEF are similar. Find the area of triangle DEF. (Assume x = 2 m, c = 4 m, and y =…

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Q: Calculate F. dr. where F(r, y) = (32 + 3y, y? – 7x) and C is the positively oriented boundary curve…

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