4. Three vectors are so related that A +C = 5 + j15 and A + 2B = 0. Where B is the conjugate of C, determine the compiex expression of a vector A. HIYAL'S SCreen

Q: 1. x – 2y + 2z = 3x – 2y + 2z = 3 2x – 3y – z = –72x – 3y - z = - 7 -a + 3y – 3z = -4-x+ 3y – 3z = -…

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Q: Consider the integral liz|3 - +z dz (a) Compute the above integral when I is the circle |2| = 2,…

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Q: Use Ring Method Rotate the region bounded by y = x2 – 2x + 4 and y = x + 14 about the x – axis.

A: The given curves are y=x2-2x+4 , y=x+14 and x -axis To find: the volume the region bounded by the…

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Q: Suppose the symmetric equations of lines l1 and l2 are = 2 - y = z and r = -1, 3 respectively. (a)…

A: If two lines are neither intersecting nor parallel then they are know as skew lines  If vector form…

Q: [C] Solve the following linear programming problem using simplex method: Maximize Z = 45x1 + 80x2…

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Q: If m, n, p, q are integers, n > 0, q > 0, and r = m/n = p/q, prove that

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Q: Model the following problem into a graph coloring problem: Each of the following five committees…

A: Given: Committee A={Smith, Jones, Brown, Green} Committee B={Jones, Wagner} Committee C={Harris,…

Q: is a function of x and y, z arddns (r and asc, 24evinx Solve for dz and dz

A: We will use chain rule of partial derivative and also for implicit function

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Q: Matrix C and vector b are given below. 1] 0 2 -3 4 -1 1 C = 1 b = -1

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Q: Evaluate the given integral. Sh x3 + 2x² + 8x+27 x(x + 1)(x² + 9)

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Q: Solve using a. Gaussian elimination and b. Gauss Jordan elimination methods 2x1 + 6x2 + x3 = 7 X1 +…

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Q: (ii) Minimize Z = yi + 2y2 Subject to: Зу1 + 4у2 > 5 2y1 + бу? 2 6 yi + y2 2 2 У1, У2 — 0.

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Q: d'y dy Consider the second-order equation +p + qy = 0, where p and q are positive. dt 5. %3D dt2 (a)…

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Q: t1, [ne*]dx. Find the minimum value of n for which [I] exceeds 2.

A: We have to solve given problems:

Q: Use the above formula to write each of the following limits as an integral (a) (b) m%3D0 nm- lim n2…

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Q: Find the values of w, x, y, z and Dx, using Cramer's Rule x + y + z + w = 13 2x + 3y - w = -1 -3x…

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Q: y = -a(x – h)? +k (-2.1 , 2.9) (1,n)

A: The given curve is y=-ax-h2+k. Here h=-1 and k=11 given. So the curves becomes y=-ax+12+11. Also the…

Q: a). Evalieteo lim foca+la -4 X-2 b). f(x){ de?+72, xこ 3x2+3d9x > a Contir at evesy ?

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Q: іa + (2 — i)234- 3і (1+ i)x – x2 = -3 – i |

A: The solution is given as

Q: Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} where a = (1 2 3 4) and b =…

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Q: Solve by using the method of Laplace transforms: y" + 9y = 2x + 4; y(0) = 0; y'(0) = 1

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Q: Use Gaussian Elimination Method. 2X + Y + Z = 4 0.1X - 0.1Y + 0.1Z = 0.4 3X + 2Y + Z = 2 X- Y +Z = 4…

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Q: sin x P47. Let I = cos.x dx and J = J% sin x+cos dx, a e [0, ). sin x+cos x (a) By considering I+J…

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Q: The equation y^2+(x-2)^2=1 is the equation of a circle of radius 1 centered at (2,0). Rotating it…

A: The equation y2+(x-2)2=1 is the equation of a circle of radius 1 centered at (2,0). Rotating it…

Q: Suppose the line y= 7x - 1 is tangent to the curve y= f(x) when x = -8. If Newton's method is used…

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Q: Please write the solution...

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Q: (a) Find r()of the vector- valued function (b) Evaluate the integral of the following vector- valued…

A: This is a problem of Vector Calculus.

Q: (a) Find r"() of the vector-valued function r(t)=at cos 3t i+b sin't j+c cos' tk (b) Evaluate the…

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Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

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Q: A: Solve the differential equation (3x y°e" +y³ + y²)dx + (x³y³e> – xy)dy = 0

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Q: Enlarge shape A by scale factor 3 with centre of enlargement (-6, -7).

A: to enlarge a shape by a scale factor firstly ee have to count the distances of each point on the…

Q: theorem/ Letxis Hilbert Sface and T, SEBCK),26F then D Pracf %3D 3.

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Q: 2. Find the Area bounded by the curve y = 4-x? and the x-axis. 3. Find the area of the loop of the…

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Q: If V = W1 •…. Wk, then there exist k linear operators E1, … , Ek On V such that %3D (i) each E; is a…

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Q: Find the transition matrix from the ordered basis of 3 R? to the ordered basis of R?.

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Q: Part 1 Use differentiation and/or integration to express the following function as a power series…

A: Note: we can differentiate a given power series term by term.

Q: Use the above formula to write each of the following limits as an integral (a) lim (nj)2 + n4 j=1

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Q: Find the best least squares fit by a line to the points (-2, 1), (2,–3), (0,0), (-4,7).

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Q: У" - бу + 5у %3DЗе *; у (0) — 2; у'(0) — 3

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Q: ) Using Rational Root Theorem and Descartes' Rule of signs. Types of Positive Negative Imag Find all…

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Q: Let V and W be vector spaces over the field F and let T be a linear transformation from V into W. If…

A: We have to show that inverse of invertible linear transformation is linear transformation.

Q: Compute for the inverse Laplace transform of Y (s) = (s+2)³ * 3 e-2t+2 e-2tt e-2442

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Q: Let M be the surface with the equation r+y+z 9 that is above the right triangular region with…

A: Note : The unit normal to the surface f(x,y,z)=c is taken as            ±gradfgradf .

Q: Let f(x) = x defined on [0, 1]. Show that f is integrable over [0, 1] and S; zdx = ī = xpx ° Use the…

A: We have given a function , fx = x defined on 0 , 1. We need to show that , f is integrable. Also ,…

Q: Minimize: Z = x + 3y Subject to: x + 2y > 6 х — у <3 X, y 2 0

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Q: Advanced Physics 3. Consider the discrete-time dynamical system on X = R, given by the iteration…

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Q: Rotate the region bounded by y= x- 2x + 4 and y X+14 about the X- axis

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