Determine if the two figures are congruent and explain your answer using transformati H

Q: sin (o.3+)-130t 2=6 137 start with h--6 and tu = -1 and apply the false positio method to Pind the…

A: Let us determine the root of the given equation using False Position method in the next steps.

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: Use the shell method to find the volume of the solid generated by revolving the region x2 and…

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Q: Question 7 (1 Let C be the curve of intersection of the cylinder x2 + (y - 1)2 = 1 with the plane y…

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Q: Fined the abe roo2 07 -2-23i

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Q: Analyze the stability of the zero solution for the system dx = -y + y(x² +y² dt dy = x – x(x² + y²)…

A: To analysing  the stability of the zero solution for such a non linear system of ordinary…

Q: 8. Let V be the volume of the region inside the sphere r2 + y? + z? = 6 that lies above the…

A: We will find range of value for z then draw figure and find its component on xy plane to get range…

Q: OLet W, X, Y, and Z be invertible square matrices. Show that if WY = YW, then det Y det(W Z –YX)

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Q: 1. Consider x +y+ z+ 2w + v 3x + 4y + 3z + 3w + 5v W = — 2я — Зу — w - 6у |x, y, z, w E R 2ж + 4у +…

A: we construct a matrix and apply the row operations to get row reduced form from this we can conclude…

Q: y ct) = sin 2t cos 34

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Q: Evaluate the following integral using three different orders of integration. (xy + z?) dv, where E =…

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Q: Find the eigenvalues A1 < A2 and associated orthonormal eigenvectors of the symmetric matrix 3 0 0 3…

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Q: The matrix A = -3 -2 -7| has an eigenvalue ) = -4. 1 3 ind an eigenvector for this eigenvalue. ry to…

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Q: Solve the equation 2(y')²tan? x °x + 3 tanx= C@y' -y' tan3x %3D

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Q: 04: Find the distance between the parllel lines L, and L2 where L1: x = 2 - t, y = 2t, z = 1+t L2: x…

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Q: Assuming that no one has more than 1,000,000 hairs on the head of any person and that the population…

A: We can use Pigeonhole principal to answer this question.

Q: Find the volume of the solid generated when the region enclosed by y = Vx, y = 6 – x, and y = 0 is…

A: The volume of revolution of the area bounded by the curve f(x) and the x-axis between the limits x=a…

Q: Let E be the 3 x 3 matrix that corresponds to the row operation R3 = R3 – 3R1 (a) Find E 1. E 1= 26…

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Q: where p Let W be the set of all vectors of the form is a negative integer and q is a positive…

A: Given W be thr set of all vectors of the form pq, where p is a negative integer and q is a positive…

Q: 4) For a natural number m>1, let P = (0.5)m“ then the sequence P, converges to 0 of order and…

A: By the fact that , if Pn→P, as n→∞ Then, if, limn→∞Pn+1-PPn+1-Pq=λ q= order and λ=Asymptolic error…

Q: Let f : R? → R be defined by f((x, y)) = 9x – 7y. Is f a linear transformation? a. f((r1, Y1) + (x2,…

A: It is given that the function f : ℝ2→ℝ is defined by fx, y=9x-7y. We have to check whether f is a…

Q: Problem 5. A space has the line element, ds? =v°du? +u°dv² . Determine whether this space is flat or…

A: Given: Line element, ds2=v2du2+u2dv2. To find: Whether the space is flat or curved.

Q: Find the volume of the region using cylindrical coordinates.

A: Volume is the amount of space occupied by the closed surface. In this problem, the region is bounded…

Q: Find the measure of each angle indicated. 6) 52 86 A) 34 C) 35° B) 94 Dy 32°

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Q: Find the real numbers x and y. 1. X- iy = -2+ 3i Given that Z1 =1-2i & z = 4 + 5i find 2. Z, +z, 3.…

A: We know that  i2  = -1

Q: Find all solutions of u +2uy- 3u– 4u, +4u, = 16. || 'xy Hint: Solve the characteristic equation (y)…

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Q: 5) Let f be a function of multiplicity 5 at p.Then at P, µ(x) = has multiplicity f'(x) f (x) A 4 B1…

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Q: 3. f (t) = t³

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Q: Let E be the 3×3 matrix that corresponds to the row operation R3=R3+R1

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Q: Given the geometric progression Find the sum of the first 9 terms of the sequence. 7, 35, ...) 25 5…

A: Given GP is 725, 75, 7, 35, ...

Q: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

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Q: Find the roots of the indicial equation corresponding to the differential equation 362 y" + (5 –…

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Q: Given: 2a  + 5b + 3c = 2 3a + b - 2c = 3 -a + 2b + c = 1 a. Solve for the system Ax = using Gauss…

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Q: 5. f (t) = e10t

A: Given f(t) = e10t

Q: Here is the region of integration of the integral dz dy dx. Top: y + z 1 Side: y = x2 (-1, 1, 0) (1,…

A: Please post the multiple parts separately. Here I answered 1st three sub parts as per our policy.

Q: roblem 5: calculate: lim | sin" rdr

A: To calculate: limn→∞∫-11sinnxdx

Q: Let ƒ be a continuous function. Show that 2022 -f(/¤) dx f(x) dx. 2022

A: It is given that ;  f is a continuous function. And we have to prove that ;    ∫12022-f(x)2xdx =…

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: 24. Which is the recursive definition of the set of positive integers that are multiples of 4? * aj…

A: We have to find the correct option which represents the set of positive integers that are multiples…

Q: Let f : R? → R be defined by f((r, y)) = -8x – 5y. Is fa linear transformation? a. f(r1, Y1) + (x2,…

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Q: for the curre y=: f(n) = n*, 0 sM 32 find the curve'slength given by: 1. 2 It dn

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Q: Find the centroid of the region bounded by y? = 14x and y² = 28(x – 7). NOTE: Enter the exact…

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Q: 4. TRUE or FALSE. For all p> 1 and for all r e R", ||c||,< ||r||- (a) True (b) False (c) (d)

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Q: Find least square solution of the unsolvable system а - 2b %3D0 а —b%3D5 a=0 a+b=-5 a+2b=0 write the…

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Q: Find all sixth roots of I, by solving the equation 1. [Hint: Find the zeros of the polynomial f(x) =…

A: Use the following formulae, to obtain the solution. a2-b2=a-ba+ba3-b3=a-ba2+ab+b2a3+b3=a+ba2-ab+b2

Q: 3. Let r = (4, –3, 1, –5) € R'. Which of the following equals ||r||? (a) 5 (b) 13 (c) V51 (d) v63

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Q: Determine the osculating circle of the helix defined by y = x^3 − 3x + 1 at x = 1.

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Q: Solve the equation. dy dx dx -- dy %3D

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Q: Exercise 10. Let Z be the set of integers and R be the relation on Z defined by: aRb if and only if…

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Q: Given a polynomial function of degree 6, explain how many minimum or maximum values and how many…

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