A phone number in Toronto is a 10-digit number. The first three is an area code which is 416, 905, or 289. How many different telephone numbers can exist if The other 7 digite oso ho abor from

Q: dw Evaluate at the given value of t, by using the Chain Rule, dt w = 2ye* - Inz, x = ln(t² + 1), y =…

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Q: Q2. Solve the following differential equation by variation of parameters: d²y x3 dx² +6x³. dy dx -3x…

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A: Please see the attachment

Q: For the figure below find: $5x² + (2x + y)²dy (1,1) (1,0)

A: see the solution

Q: ! (10) If f(x) =. then f(x) is irreducible in Z7[x]. 3 (i) x² + 2x² + 2x + 1 Option 1 (ii) x² + 3…

A: Here we use the factor theorem to determine the reducibility of polynomial as follows.

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A: Given: Hypergeometric Probability Distribution To find: Solution

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A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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Q: A) Given the universal set U = {0,1,2,…, 10}, let A = {2,4,5,6,7,10}, B = {1,5,6,8} and C = {2,…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (i) (ii) Show that 8; &k = &k Әхк Әхі Əхі Әхі чо

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Q: (1) If Z is integers ring, th each non zero element in proper ideal of Z is........ (i) invertible O…

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Q: a. Solve the initial value problem (x² - 1)y" + 4xy' + 2y: y (0) = = -1, y'(0) = -5, given that 1 Y1…

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Q: (a) Use sigma notation to write the Maclaurin series for cosлx.

A: Please see the attachment  According to the guidelines we are supposed to do one problem.

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Q: Determine true or false. are linearly independent. True False 1 2 ··· 2 0 -3 The vectors

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A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

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Q: f So Fdr F = cos(x+z)i + sin(y+z)j + sin(z + x) k r = ti - 3tj + tk

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Q: Q5: Find the general solution for the following second order differential equation: y" - 4y' + 4y =…

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Q: Question 2 Let F(x, v. 2) = -2y7 + 2xj. Use Stokes' Theorem to find 17-d7, where C is a circle…

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Q: 6. Find the Laplace transform of the foll (a) g(t) = et+2+ sint cost+to(t-2 (b) a(t) = te sinh3t.…

A: Introduction:   The Laplace transformation is very significant integral transformation that is used…

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Q: B)ls w = z²1² analytical function or not?

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Q: Q6/(A)Evalute ſ² ſ₂ ex² dxdy. (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial…

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Q: The graph G is a planar connected graph. It ha

A: Given, the graph G is a planar connected graph. It has 11 edges, and 7 faces.

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A: Sum of the degrees is  5+5+4+4+4+4+4=30

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Q: Solving the following problem using Fourier transformation method. du d²u = 0, (t>0,-∞0< x <∞0) Ət…

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A: Introduction: The formula of gamma function as integration is given by, Γx=∫0∞e-xtx-1dt

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Q: 3. A resistance of 11 Q2 is connected to a battery having an electromotive find: a. current b.…

A: Please see the attachment

Q: •) TT.). Suppose that X₁, X,... is an independent sequence and Y is measurable o(Xn, Xn+, ...)for…

A: From the above details we have,

Q: 1. Find area using the definition of area as a limit along with x as the midpoint of each…

A: Please see the attachment

Q: Q5/ Estimate the root of the following function using Newton-Raphson :method, employing an initial…

A: We have to solve the given problem by Newton's rampson method.