Find the surface area of that part of the plane 4x+10y + z = 9 that lies inside the elliptic cylinder += = 1 Surface Area = 7² 16

Q: 6. Find z of the solid with density 8(x, y, z) = 6 5. 1 (4-x² - y²)(2+√√x² + y²) The solid is…

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Q: What is the solution or solutions of 3* = 5x?

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Q: dy/dx = -x/y, dy/dx = y(2-y), dy/dx = x+y, y(0) = 4 = 3 y(0) y(0) 1 (o -

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Consider the triple integral ffw xyz2 dV, where W is the region bounded by z = 36-y², z = 0, Write…

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Q: Define the linear transformation T by T() = Az. Use the fact that matrices A and B are row…

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Q: □ 6. Evaluate using the Squeeze Theorem. Remember to show all work. 3 lim x² cos x² cos ² +2 x →0

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Q: Let a 0 for all x = [a, b]. Let A > 0, B> 0 be constants. Show that the stationary path of the…

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Q: Let n > 0 be an integer. If then what must be true about n? n must be an even integer. n must be a…

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Q: 2- Rework problem (1) using Simpson's Rule of Integration. 3- Evaluate the following integral using…

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Q: Find the surface area of the part of the paraboloid z=2x² +2y² that lies under the plane 2=16.

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Q: Written as a simplified polynomial in standard form, what is the result when (2x + 2)3 is subtracted…

A: The objective of this question is to simplify the expression x^2 + 5x + 1 - (2x + 2)^3 and write it…

Q: 2 2 3 4 SS 27x²y dA =

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Q: (1) Which interval is the real number t in such that A = 2t-3-t 0 t 0 0 2023 -t 0 is positive…

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Q: (a) Define the quadratic form qÃ(x₁,,xn) associated to a real symmetric n × n matrix A. (b) Show…

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Q: 2. The heights, h, of two balls, in metres, after t seconds are shown in the graph. a. Determine the…

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Q: 3 = (d) tan M 11 = (1 km x 40 T La Sec (2/2) 12 ½/2 lim 늘 x46 TTT 1 sec ² (²/₂) 1⁄2 sec² (0) = 1/2 x…

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Q: b) Find the steady-state solution covariance C(r) of the Ornstein-Uhlenbeck process dx=-2x dt+dß.

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Q: 2 (a) () Page 3 of 11 Using the power series expansion for exp(-x) or otherwise, find the first 3…

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Q: Problem 2-5 (Algorithmic) (LO. 1) Interpret each of the following citations by selecting the correct…

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Q: b). 1 x-2 + x-1 x²-4 = x+4 x+2

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Q: Determine the approximate slope of the tangent to the curve f(x) = 2x-1 x+2 at x = -1, to 1 decimal…

A: The given curve .The aim is to find the slope of the tangent line at the point .

Q: (a) Consider the following eigenvalue problem: X" + XX = 0 X'(0) = 0, X(T) = 0. (i) Show that all…

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Q: Example 1 243 people out of 400 state that they like dogs. What percent is this? Example 2 Write…

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Q: 2. This question is concerned with the homogeneous differential equation d²x dx +6 dt² dt (i)…

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Q: Given Z1 =1+√√3i and Si Z2 = 2 e 6 Find 2 (Z2)² Z1

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Q: (a) Show that V(x, t) = π - fxt e-8²ds is a solution to the heat equation е V₁=xVx, ER.

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Q: How many cells are there in the arrangement of hyperplanes in R^d with equations xi + xj = 0 and x…

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Q: E. Let H be the set of all points (x, y) in R² such that x² + 3y² = 12. Show that H is a closed…

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Q: 2. (a) (b) Simplify the following expressions. tan(-0) sin(7-8) 1+cos (2+0) cos(+0)

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Q: (a) Solve the inhomogeneous 1st order equation Uz - Ut = cost U(x,0) = 0. (b) Solve the…

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Q: a) Design a regular expression that accepts the language of all binary strings which their length is…

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Q: (a) Find the general solution of dy/dx = 8x³-4x+1. (b) Determine the particular solution such that…

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Q: C. Solve the given differential equations with homogeneous coefficients using appropriate…

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Q: F(x) = L [~ 3 (542)

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Q: Show that V(x, t)= π-fo e-8 ds is a solution to the heat equation Vt=xV₂, € R.

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Q: Prove siny-2 sin³ y 2 cos³ y-cosy = tany ✔✔✔

A: The given identity .The aim is to prove this identity.

Q: (a) Show that V(x, t) = π fxt e-sds is a solution to the heat equation T V₂ = XV, ER. -

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Q: 1 This question concerns the solution of the equation e" = 2x. (a) By sketching a suitable graph,…

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Q: 4. Find the volume of solid G bounded above the cone z = below the sphere x² + y2 + (z-2)² = 4.…

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Q: Q2 Solve xy + xy - y = ln(x) o diff

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Q: In this question, pA(x) denotes the characteristic polynomial of an n × n matrix A and mA(x) denotes…

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Q: be the vector spaces consisting of zero and polynomials in z of degree <3 and degree < 6…

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Q: Q7: Find the McLaurin series of In (1+x) when a = 0

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