Find the centroid of the region bounded by the curves: 2y - y and the y-axis |

Q: What is L s² –7 s² -3 21

A: The given function is L-1ss2-7+6s2-36 make the partial fraction of ss2-7 ss2-7=As+7+Bs-7=As-7+Bs+7s2...

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A: Solution

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Q: 2a) Find the area of triangle PQR where P is (4, 2, 5), Q is (3, -1, 6) and R is (1, 4, 2) [1 2 31 2...

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Q: The velocity (in m/s) of a rocket is given as a function of time (in seconds). The table below shows...

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Q: B: Represent the region shown in figure (2) by double integrals of order dydx, dxdy and rdrde. y = V...

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Q: 18 sin=+icos- 3.

A: Given complex number is sinπ6 + icosπ618

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Q: sin (z. + za) g.= = [cos (z, – z)] (/Zn + z,) + z.) h.== tan i. 2= csc (za - za)

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Q: Ethan can assemble 15 DVD players in 6 hours, how many DVD players can he assemble in 40 hours?

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Q: P L A B Use the method above to find the distance from the point P(-3,1, 12) to the line through A(1...

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Q: Question 5. (a) Prove that every element in Q/Z has finite order. (b) Prove that every non-identity ...

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Q: Consider the system i = f(x)+ g(x)u iere sin x2 f = COS x2 g =

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Q: Evaluate L{e (cosht – sinh nt)} 3r S+3 A. (s+3)*-n² (s+3)-a² S-3 B. (s -3)- (s-3) 2. s+3 C. (s+3) +*...

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Q: Linearize: around %3D

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Q: In R let R be the rotation about the origin through the angle 27n/19. Then the matrix [R] representi...

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Q: Let M be a 10 x 10 real matrix such that M² = M and the determinant of the matrix cannot be 1. Does ...

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Q: Now that Coowe which ewreanser he feunelion Cooue which e whe aiser he fuuneli, Under the Condition ...

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Q: 1. (10 + 7i )®

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Q: Find the local extreme values and saddle point of the function f(x, y) = 2x3 + 2y3 - 9x2 + 3y2 - 12y

A: Introduction: A function of two variables does have extremum value also. The critical points of the ...

Q: the derivativc Of R (E) =

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Q: 4. Let ao, a1, az, ... be the sequence defined by the following recurrence relation: ao = 0 • a, = a...

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Q: 2 Consider the IVP (x + 1)²y" – 2y = 0, y(0) = 1, y'(0) = -1. Determine all ordinary points of the d...

A: Since you have asked multiple questions, we will solve the first question along with its subparts fo...

Q: Find the Inverse Laplace Transform of

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Q: (a) If {Ta} is a family of topologies on X, show that N Ta is a topology on X. Is UTa a topology on ...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: PPROBLEM SOLVING Directions: Read carefully and write your answers on the black provided after each ...

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Q: Ex: 1. Let (an) and (bn) be two diverge sequence show that whether (an + bn) is converge or diverge ...

A: Multiple :    Let , an  ,  bn are two divergent sequence. We need to check that whether an + bn dive...

Q: Suppose fis a real valued function defined on an open interval I and differentiable at every x eI. I...

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Q: Determine the roots of the complex numbers studied in class. 28. z5 = 4i 29. z5 = 6i

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Q: Which one of the following is the vector equation of a plane containing the points: (4, 0,3), (1, -1...

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Q: 1. Find all the distinct values of (1 – i)5/4, then plot the results on an Argand diagram.

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Q: Let X be a random variable with p.d.f f(x) = 2x, 0 < x < 1. Find E(Vx). 2/3 5/4 3/2 4/5

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Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB....

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Q: Choose the correct ordered pair that makes the inequality true. 1. ? + 2? ≥ 8           (4,2), (−2,...

A: We have to check one by one, which ordered pair satisfies the given inequality.

Q: Question 5 Find an invertible matrix P and a diagonal matrix D such that PAP=D. To -2 1 A = 2 -4 1 4...

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Q: Two large containers A and B of the same size are filled with different fluids. The fluids in contai...

A: Solution

Q: Which of the following sets of vectors in R° are linearly dependent? Note. Mark all your choices. O ...

A: We say a set of vectors v1, v2, ...., vn is linearly independent if              c1v1+c2v2+···+cnvn=...

Q: Give McLaurin Series of Cimmon function for sinh x

A: We have to find the Maclurins series of function for fx=sinhx. The Maclurins series of function fx i...

Q: Solve for a root/roots of the functions 1. f(x) = e¯* – tan x Applying the following methods a) Fixe...

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Q: Linear coefficients in 2 variables: Solve the equation (x - y + 1) dx (x + 4y + 1) dy = 0 O In[(x + ...

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Q: [8] Write a negation for each of the following statements: Jim is inside and Jan is at the pool. Jim...

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Q: Exercise 4. Consider the matrix a A = c d = 0. (Hint: Find a lincar (i) Find a monic, quadratic poly...

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Q: PROBLEM 3. Let X = { 1, 2}, Y = {a}, and Z = {a, B}, then find the Cartesian product of Y x X x Y x ...

A: Given: X=1, 2, Y=a and Z=a, β. To find: Y×X×Y×Z.

Q: Find the center of mass of a thin plate of constant density 6 covering the given region. The region ...

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Q: Question 7 8e 3 Evaluate, 2/30° express your answer in exponential form. O 4e O 4ei 4ei ion O 4e No ...

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Q: 2. Determine the highest power of 5 that divides each of the following positive integers. a) 112,250...

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Q: n² +1 (b) +1 n=1 (c) n3 5" n=1 (-1)" Vn +1 (d)

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Q: 5. Find the highest power of 2 that divides each of the following integers. a) (101111110)2 b) (1010...

A: Given: (101111110)2 (1010000011)2 (111000000)2 (1011011101)2 Which of these is divisible by 3

Q: 2. + 2y = cos(x) 3. y cos(x)dx + 3sin(x)dy = 0 dy 4. dx 1-2у-4х 1+y+2x

A: We will identify type of differential equation and then solve it accordingly  Note :According to gui...