B. SOLUTION OF HOMOGENEOUS SYSTEM GIVEN: 1 -13 -1 4 0 2 -2 1 100 10-20 1 0 A= 0011-10

Q: 10 y = 2x or x = 2 (5,10) a

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A:

Q: Given f(x) = -x³-7x² - 8x + 16 = (x+4) (4-3x-x2²). Find the (a) intervals on which f is decreasing…

A: Follow the steps.

Q: Given the matrices 1 3 A=[ B: 24 Find the matrix (AB)T 이유 이 이요 04 21 28 6 12 18 22 6 18 12 22 60…

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Q: What does the difference scheme: 1/2h [f(x + 3h) + f(x − h) − 2f(x)] approximate and give its error…

A: Solution:-

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: Let us start solving the problem step by step  Centroid of the solid generated  When x2+y2-2y=0…

Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂:r = 2-2 sin (in red) and let R be the…

A: Given,C1 : r =3C2 : r =2-2sinθand r > 0 , θ∈[ 0, 2π )

Q: Given: planes II₁: 2x - 5y + z = -1 and II₂ : x + 5y + z = 5 intersecting on a line l (a) Compute…

A: Given: Planes π1:2x-5y+z=-1 and π2:x+5y+z=5 intersecting on a line l.

Q: Lett: V→ V' be a linear transformation. Then (1) Ker (t) is a vector sub space of V, and (ii) im (1)…

A: The solution is given as

Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

A: To find the volume of the solid generated by revolving the region: y-x2=3, x+y=3 about y=-5

Q: Find the area bounded by the curves -x + y² = 8, x = -2y and y = -2.

A:

Q: Find a set of parametric equations for the curve of intersection of the given paraboloid and plane:…

A: Solution:-

Q: Evaluate the following integral e(-t²-25) dt

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Q: QUESTION 3 A manager wishes to simulate 10 days of operation of an inventory system. The beginning…

A: Solution :-

Q: Problem 25. Find the Laurent expansion of f(z) = 1/[2(2-1)(z-2)] in i) 0 < 2 <1 ii) 1<|z| <2 2 < |z|…

A: This question from laurent series of complex analysis.

Q: Let C be the parametric curve defined by [x(t)=t²-t-6, [y(t) = 4t³+31²-6t. Determine the point/s…

A: The general form of a parametric equation of the curve in the xy plane is given by xt=ft and yt=gt,…

Q: (a) Solve the first order linear ordinary differential equation dy x sin x- + (sin x + x cos x) y =…

A: The solution is given as

Q: -42 20 00 2 3 10 3 102 303 Evaluate D.

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Q: Let V be n-dimensional vector space over c en for any n scalars ₁, ... , E F there-

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Q: Given two the following inequalities hold: For all

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Q: 11. Obtain the moment of the area with respect to the y-axis of the area bounded by the parabola x =…

A: Given curves area  x=4y-y2 and y=2xorx=4y-y2 and x=y2

Q: 3. Prove that: na” u[n] = az (a-z)2

A:

Q: Find the Area of the Surface obtained by rotating the curve about the x axis y = cosh x, 0≤x≤1

A:

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral…

A: Here the lower limit is π4 and upper limit is π2

Q: III. Let 7 and w be vectors such that 7 = (2,2,-1), ||w|| = √2, ||w|| = √2, v.w=-3, and x =…

A:

Q: Consider the vector-valued function. (a) Show that is continuous at t = -1. (b) Evaluate (R. RY(2).…

A: Like a scalar function, features like continuity and differentiability are also demonstrated by…

Q: (k) The solution of the following problem for the heat equation with nonhomge- neous boundary…

A:

Q: 1. Determine the angle between v and the vector w = 2. Solve for an equation of the plane which is…

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Q: please could someone solve this for x -415000 =8.314* 1073* ln x

A:

Q: Solve the following ODE in the range [0, 0.2] using h dy y(0) = 2, -t+y=0, dt² = 0.1 with explicit…

A: Given that d2ydt2-t+y=0 with condition y0=2, dydt0=0 Solve using Euler's method when step size is…

Q: Find the volume of the solid generated by the region bounded by x² + y = 6, y = x, y = -2 and x = -2…

A: Follow the steps.

Q: 3. Magkano ang nominal wage? Real wage = P10,200.00 CPI = P180.20

A: Here given  Real wage =10,200.00 CPI =180.20

Q: Let f be a function which has an inverse and let f(-1) = 2. If Q is the surface of revolution…

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Q: Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A,…

A:

Q: Solve the linear system using both gauss-jacobi and gauss-seidel 3x + y = 1 2x + 5y = 6 a. using…

A:

Q: The principle of Analytic continuation:

A:

Q: Let C be the parametric curve defined by fa(t)=t²-t-6, y(t) = 4t³ + 3t² - 6t. Determine the point/s…

A: Using the parametric form of arc length

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A:

Q: The curves C1 and C2 are both symmetric with respect to the polar axis. Each of these curves is…

A: As per the question we are given two polar curves C1 , C2 which are symmetric about the polar axis.…

Q: Find the volume generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the…

A:

Q: Given the curve of intersection of the x² + 4y² -z = 0 which is a paraboloid and the plane 2x - z =…

A: Solution:-

Q: 3+z Given the points R (1, -1, -3), the vector v = and the line d: ¯x+¹=1+y= 3 2 3. Calculate the…

A:

Q: y- y' cos x = y² cos x (1 - sin x)

A:

Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, —12t) (c) Determine the…

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Q: 2. y" - 6y +9y = 2 sin 3x; y(0) = 1, y'(0) = 1

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Q: 8). Prove the validity of the arguments using the method of conditional proof. a). p → q (qvr) →→s…

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Q: III. Let S be the quadric with equation 4x² - (y - 3)² + 4z² = 4. a. What type of quadric is S? Find…

A: 4x2 - (y-3)2 + 4z2 = 4 (C) The quadric S can also be identified as a surface of revolution.

Q: Solve the nonhomogeneous system tY': = - (²-2) ₂ Y+ (1-2₁).

A:

Q: 5. Use Cartesian coordinates to evaluate If y² dv where D is the tetrahedron in the first octant…

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Q: Instruction: Setup the iterated triple integral that gives the volume of the solid. Do this by…

A: The most important application of the triple integral is evaluation of volume of a solid in three…