Consider the following. 3 -1- y. -2 Find an equation of the parabola. Find the focus and directrix. focus (x, y) = directrix Need Help? Read It 4.

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A: The plyboard has dimensions 3×5 ft2 So, the area of the board is 15 ft2 The area of the shape needed…

Q: 6- Use Newton-Raphson method to solve the system x3 + y – 1 = 0 y3 – x+1 = 0 with the starting value…

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A: Stokes theorem is used

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Q: What is the y-intercept of 5 times x plus 6 times y equals 9? 3 2 3. 2. b: 3. b= %3D 23 23

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Q: I. Consider the function defined by f (r, y) = V- y. 1. Find the domain and range of f. 2. Draw a…

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Q: a) Consider the set S= (+1, t+t, t+1}). Detrmine whether p(t)= 3t-5t+3 belongs to span S. b)…

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Q: 1) Find all integral solutions of the linear Diophantine equations бх + 11у %3D 41

A: Here we use the euclidean algorithm to solve the Diophantine equation

Q: Duse the Runge-Kutta Method Solve the: Say tanrs tan x-Sinz X, ylo)=1 ,h2 0.1

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Q: I. Find the weighted mean price of three models of television sets sold. The number and price of…

A: Given:   Model       Number                  PriceA                       8                   10,000…

Q: The average value of f(x, y) over the rectangle R = {(x, y) a s*S b, csysd} is %3D 1 fave (6- a)(d-…

A: The Formula for the average value of a function over an region is given. So use it we have

Q: 33) - 2y + y, + y; = 0, y + y', = 4t +2, y, (0) = y, (0) = y,(0) = 0 y + y, = t² +2

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: We have to Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in…

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Q: suppose one painter can paint the entire hoyse in 15 hours and the second painter takes 10 hours to…

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Q: The flow rate of water via a 50mm dia. pipe is shown in the table below, into a storage tank with a…

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Q: Given: surface G : 9x^2 - 4z^2 = 9y (a) Give the equation of the trace of G on each coordinate plane…

A: Solution :-

Q: Work Problem 2 (a) Sketch a graph of a function f such that: o f>0 and f" 0, for a > 3. (b) Does…

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Q: 3x 1. dx (Зx2 + 2)2 -3 2.J2 13-x 1 dx

A: Convergence of the series

Q: Answer the following using Jacobi Method. Show complete solutions. Answer should have atleast 5…

A: First we will rewrite the given system of equation as  xk+1= (-200 -2yk+zk)/15 yk+1= (-250 -2xk -zk)…

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Q: Find the volume of the solid that results when the region show below is rotated about the y-axis. 2…

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Q: Evaluate the following limit. 7 cos t+ -7 e-t-1 sin 2t -i- 2t lim k 7t 31 7 cos t+ -7 e-t-1 sin 2t…

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Q: 3. The price-supply and price-demand equations of a certain product are given by p = S(x) = 15 +0.1x…

A: We will draw curves and identify area representing consumer and producer surplus . Then will find…

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Q: What are intervals of concavity of the function f(x) = -2x + 6x² – 3 ? a. Concave upward on (-1, o0)…

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Q: 6. The average value of f(x, y) over the rectangle R = {(x, y) | asxs b, c <ysd} is %3D 1 (b- a)(d-…

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Q: S,x = - x+e"(1 – x) (c) Determine the following w-limit sets of (1): (i) w({0}), (ii) w((0, 1)),…

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Q: Find the general solution for the following differential equations: (a) (1 – xy + x²y²) dx + (xy³ –…

A: As per policy, we are allowed to answer only one question at a time. So, I am answering the second…

Q: Solve the following linear equations using the 5 methods: (Gaussian Elimination, Gauss-Jordan…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Quiz: For the list of degrees below: name degree Ahmed 66 Ali 90 Mona 45 Salma 76 Karim 78 Use…

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Q: Let E be the surface with equation (y – 4/2)2 1. | 32 52 42 (a) Give equations of the traces of E in…

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Q: 4) Find the area of the region common to the interiors of the cardioids r =1 + cos 0 and r%D 1- cos…

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Q: Q6: Solve for matrix X in the matrix equation X- A" = 21, where I is a unit matrix with size 2 x 2…

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Q: Let T be a linear operator on the space V, and let W, ,W hecessary and sufficient condition that…

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Q: et T: R³ → R³ be defined by T(x, y, z) = (x + y,x – y – 2,x + z).

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Q: :Write step by step solutions and justify your answers. Ques Evaluate L fe³ – (5t – 2)² - sin(-5t) +…

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Q: Question 2: Consider the differential equation -2y" – 6y' + 20y = 6e'. %3D a) [| Find the general…

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Q: Let X be the subset (R x {0}) U (R x {0}) CR2 Show that the quotient space X/~ is locally Eue line…

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Q: 3- L-1 s2 -(s-2)2.

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Q: Let A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation…

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Q: 10 -12 A = -2 6 -8 has A = -2 as an eigenvalue with algebraic multiplicity 2, and A = 4 as an…

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