A. SOLUTION OF NON-HOMOGENEOUS SYSTEM GIVEN: 7 -3 4 0 -71 A-2 1-1 4 6 010-3 -5 3. SOLVE THE SYSTEM USING ILL FACTORIZATION

Q: 1 '1+t²⁹ Given R'(t) = (4e²t, , 2cosh t), and R(0) = (1, -2,3).

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Q: Given any two Euclidean spaces E and F, w ension m, for any linear map ƒ: E→F, we have Ker f = Ker…

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Q: Let f(2)= = csc(TZ) 22 Determine all isolated singularities off and find the residue at each…

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Q: a) 2 B3] b) 001 010 101

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Q: Find the arc length of the curve below on the given interval. y= (x3/3) + (1/4x) on [1,3] The…

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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…

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Q: Consider the points K (−1, 0, 7) and M(1, −2, 5), the vector MN = (1, 4, −3), and the line  I with…

A: We have to solve given problems:

Q: 7. Find the equation of the circle with center (2, -4) and tangent to the y- axis.

A: As per guidelines we are supposed to solve the maximum one questions at a time. plz repost another…

Q: Evaluate the integral 'In (Inz) dz X

A: Note: instead of x there should be z in denominator otherwise x behave likes constant.

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: Find the moving trihedral of the curve R(t) = (e^t)sin(t)i − (e^t)cos(t)j + (e^t)k at any t in the…

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Q: 3. Solve the linear system using Gauss-Jordan method I 2x+y+z=2 y+z+w=2 x+y=z=0 x + 2z-w=1

A: augmented matrix of the given system 211020111211-100102-11

Q: II Find the maximum value M of f(x, y) = x4y5 for x ≥ 0, y ≥ 0 on the line x + y = 3. (Use symbolic…

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Q: (b) One of the following is NOT a second order PDE: (A) Uz Uyy + Uzy=0 (C) (U₂)² -Uz Uy = 0 (B)…

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Q: Let S be the surface with equation 4y2 + 4z²x² - 16 -0. 1. Find an equation of the trace of S on…

A: Solution:S be the surface with equation 4y2+4z2-x2-16=0⇒4y2+4z2-x2=161)Traces of S in the coordinate…

Q: The marginal cost of manufacturing a certain product is dC/dX = 17 + 0.005x .  If the cost of…

A: Solution

Q: Given: quadric surface S with equation (y - 3)² 1 2 2 (a) Determine and identify the traces of S on…

A: We will find traces on co ordinate planes and also at given plane . From traces we can get idea of…

Q: Solve the following equations and compare the roots using the five methods. Tabulate the data…

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Q: Solve the non-linear function using NR AND Secant Method. Use 5 decimal values and stop at & S…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: Theorem 23.4 (Cauchy Integral Formula, General Version). Suppose that f(z) is analytic inside and on…

A: Given integral is 12πi∫z=1ezg2zz3dz and  gz=∑n=1∞zn2nn

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: (a) Let R be a relation on S. Define each of the terms below: (Diagrams are not acceptable as…

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Q: Let S be the surface with equation 4y2 + 4z2 - x2 - 16 = 0 1) Find an equation of the trace of S on…

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Q: iven as y" + 2y'-3y = 2x³ + x - 3. Solve the particula PI).

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Q: Consider the polar curves C₁: r = 3 (blue) and C₂: r = 2 − 2sin0 (red) and let R be the shaded…

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Q: Find R(t); suppose that it is a differentiable vector function for - 1 with R' (t) = 1²,1 + t²) and…

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Q: 8 (1) = {(In(3-1) 141-13, 38²2-8), t), ‚31² t (0,−1, 4), t . Find the domain of Ř.

A: This is a problem of vector calculus.

Q: (c) Find the slope of the objective function. Slope = (d) What are the values of x and y that give…

A: given objective function fx,y=30x+42y (c) slope of the objective function it is known that function…

Q: nonhomogeneous system tY' = 2-2 Y + -2t (₁-²₁).

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Q: the area bounded by the parabola x = 4y - y²

A: Given parabola as, x=4y-y2 and y=2x.

Q: Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse x² 1² +…

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Q: Given x = y²+2y 8 - In(y + 1), find the arc length for 0 ≤ y ≤ 3

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Q: 2.88x²-0.5x+5=0

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

A: We need to find the approximate values of ∫π4π2ln(tan(x))dx using trapezoidal and Simpson rule given…

Q: Determine the approximate size of an annual payment needed to retire P60,000,000 in bonds issued by…

A: We have to Determine the approximate size of an annual payment needed to retire P60,000,000 in bonds…

Q: Set up the integral which yields the arc length of the portion of C2 traced counterclockwise from B…

A: This is a question from the application of calculus.

Q: 3√2 √2 cos 2 2 Consider the polar curves C₁ : r = 4+² cos 0 and C₂ r = 2- as shown in the figure on…

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Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

A: We have to find the volume of the solid enclosed by the hyperboloid     z = 1+x22+y22 and under the…

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: b) Solve: P(4)=4-5t + tetsint

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Q: Evaluate the following: 2 d. L-¹1- + S-3 3s-5 Th

A: Since  you have posted a multiple  question according to guildlines I will solve first  (d) question…

Q: Determine the order of the zero at the origin of f(x) = ² (cos(z) - 1 + sin² (2))

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Q: Given: quadric surface S with equation (y - 3)² 1 (a) Determine and identify the traces of S on each…

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Q: Let M be a matrix a M-[b] = c d Matrix M is non-singular if and only if O ad + bc #0 O ad - bc #0

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Q: b) The function y(x) satisfies the inhomogeneous second order linear differential equation d²y dy…

A: Variation parameter method

Q: Problem 2. Determine the area bounded by the closed curve defined by the following functions using…

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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: For each problem below, use algebra to answer the questions. You may find it helpful to draw and…

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Q: Question 22 A survey of 528 adults aged 18-24 year olds was conducted in which they were asked what…

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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... Given x2+y2-2y=0 y=2-x Revolving about y=0