Solve the eight eighth roots of z = -2 – j2/3. (express roots in polar form)

Q: Find the inverse transform of the given functions: 5s+3 6s 8 F(s) (5s2+4s+1) s2+7 9.

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Q: 23. Find the general solution of x (* - 2)y" - (x? - 2)y' + 2(x - 1)y = 3x(x - 2)e", 3x (* - 2)°e*,…

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Q: The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in…

A: let the number of empty seats for united continential is x let the number of empty seats for…

Q: Choose two figures which are topologically equivalent to each other

A: We can say A and B are topologically equivalent or homeomorphism if there exist a continuous,…

Q: Let o : R → S' be given by o(r) = e2™ir. Find ker P.

A: This is a problem of Abstract Algebra.

Q: 2х 64X 3 8+ 9+ 3+ 1

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Q: While on an unauthorised trip to the local fast food restaurant during their study period, a pair of…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: Evaluate the triple integral. xy sin(yz) dV, G. where G is the rectangular box defined by the…

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Q: Let S = (2x, 1 - x, x2 +x 1,x+ 1}. Then PA P1 O sis a basis for the nbove Sis a basis for the above…

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (a, 9) =| (?, ?) %3D y = x7 1

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Q: Evaluate the double integral. 8x?sin y dA; Risthe region that is bounded by y = x, y = -x', and y =…

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Q: Which line passing through G is parallel to line IEC? A 34 O CGJ BGH AIG EFG

A: To find which line passes through G is parallel to IEC .

Q: Find the area of the region outside the cardioid r = 4 – 4 cos 0 and inside the circle r = 12. NOTE:…

A: Area bounded by the region in Polar curves

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

A: Given integral is ∫03 x3+xdx Number of sub-intervals = 6 Take f(x) = x3+x Step size  ∆x  = 3-06…

Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t)

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Q: Determine the vector field of F. F(x, y) = 4i – 2j

A: To find the vector field F .

Q: find Fourier sertes [0, 2w] an O f = X COS X

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Directions: Evaluate the derivatives of the following functions with respect to x and simplify the…

A: We use the chain rule for differentiation. The typeset solution in latex is presented as the next…

Q: 2 The half range cosine expansion of f(t) = t +t, 0<t<1 is 5 f(t) 2 2 + [2(3(– 1)" –1)] cos…

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Q: If f(x) -x-4,0 13, find the Riemann sum with - 6, taking the sample points to be midpoints. What…

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Q: y - 3y + 2y = 3e* + 2e2*

A: Given differential equation is y''−3y'+2y=3ex+2e2x......1. We have to find the general solution of…

Q: B: Find the Inverse Laplace transform for the following functions: s2 +s+1 F(s) s2 - 5 s+6

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Q: Find the Laplace transform of: 1. f(t) = e(-3t) sin(2t) cos(3t) cosh(t)

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Q: Given that r 1.0 1.2 1.4 1.6 1.8 2.0 2.2 y 2.7183 3.3201 | 4.0552 4.9530 6.0496 7.3891 | 9.0250…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Evaluate the integral (2x +3y)dx + (6x – y)dy along the parabolic arc y = x from (0,0) to (1, 1).…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: The test scores of 20 students are listed below. Find the 34th percentile

A: We have to find the 34th percentile from the given data set.

Q: V4-x2 c 3-x²-y? Evaluate the iterated integral. x dz dy dx -5+x2+y2 A) 128/15 B) 16/89 23/6 D) 6

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Q: Construct a frequency distribution table with seven classes for the scores below. Determine the…

A: frequency distribution of the given data class interval Tally marks frequency cumulative…

Q: 3 Show thot tfe fundion fae Ax +26T* +C with A = AT E IR E IR", CE IR is strongly Convex if and only…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: The complex number z is defined by z = 3·z + 4.j where z is real. a) Find, in terms of z, the real…

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Q: Express the iterated integral as an equivalent integral with the order of integration reversed. 20…

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Q: Consider this Preference Voting Table from 50 voters and 4 candidates 1.3 Rank / Number of votes 19…

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Q: The complex number z is defined by z = 3 -z + 4.j where z is real. a) Find, in terms of z, the real…

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Q: Find the general edo solution: y'''' + y = 0   Please, someone help me!!!

A: Give differential equation is yIV+y=0. We have to find the general solution of the given…

Q: Question 6. group (S5, o). Given the set S {1,2, 3, 4, 5}, and the permutation %3D (a) Define the…

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Q: What are the points in an elliptic curve y2=x3+ 12345 x + 23456 (mod 23459) at x=1? Use one of those…

A: As per the question we are given the following modular elliptic curve : y2 = x3 + 12345x + 23456…

Q: -3)K

A: Here we use vector differentiation

Q: Verify Green's Theorem by evaluating both integrals ƏN dA əx ду for the given path. C: boundary of…

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Q: Compute f(x)dx f(x) = { 2x if x<1 4 if x 21

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Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 : = 35 and the upper cone z2 =…

A: The given problem is to find the volume of the ice cream that is bounded by given surfaces. Given…

Q: Identify the elementary operation done in the original matrix to come up with the new row matrix.…

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Q: f (t) = e-3t) sin(2t) cos(3t) cosh(t) f (t) = v1+ sin t + (8t)15 + t² cos 3t %3D %3D

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

A: We have to find the curvature and the radius of curvature at the point t = 0. x = et cos(t)  ,…

Q: Let be a prime such that p = 1 (mod 4). Prove that –1F, is a square in Fp. -

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Q: [x 1+t 5. Determine the distance between the point (4, 3, 2) and the plane y 2+s z = 3+5+t a. 3.69…

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Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: Prove that T is the discrete topology for X iff every point in X is an open set

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Q: The complex number z is defined by z = 3.z + 4·j where z is real. a) Find, in terms of æ, the real…

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Q: Find the L.T 1 for the following function 2S F(S) = 52 - S- 6

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