Find the centroid of the solid generated by revolving the region about the indicated axis the area bounded by the given curves. y2 = x, y = 3, x = 0; about the y-axis

Q: Given the point D(−4, 5, 3) and A = yax + (x + z)z ay, express the D and A in: Kindly answer in vec...

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Q: Convert to complex form z3 = 8

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Q: 4 friends purchase a cherry pie and an apple pie to share. Each pie is $12. The 4 friends want to sp...

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Q: Find the volume of the solid inside the sphere x2 +y2 + z2 = z and the planes z = 0 and y + z = 1. S...

A: First, we will be sketching the solid inside the sphere x2+y2+z2=z, the planes z=0, and y+z=1. Now,...

Q: Determine (without proof) the suprema and infima of the following sets: (a) {n € N : n² < 10} (b) {n...

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Q: . Find the missing values in the following table : x: 45 50 55 60 65 y: 3.0 2.0 -2.4

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Q: V1-x² 1-x²-y² e-3(x²+y²+z²)² dz dydx a) Evaluate

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Q: Define a linear operator on R^2 by performing the following operations in order: i) a shear in the ...

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Q: Evaluate the following integral by changing the order of integration: S2 Vx sin x dx dy

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Q: Determine the volume of the solid obtained by rotating the region bounded by y = 2x + 1, y = 3 and x...

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Q: 3) Two observers A and B sight a helicopter due east. The observers are 3540 feet apart, and the ang...

A: Concept: Here we shall use the sine law: According to sine law, asinA=bsinB=csinC Where a b and c ar...

Q: 3. The following row operations were applied in order to a 3x3 matrix A to get matrix 2B. Compute de...

A: This is a problem of linear transformation.

Q: . Two previously undeformed specimens of the same metal are to be plastically deformed by reducing t...

A: given    circular(diameter) rectangular original dimensions 18.0 20×50 deformed dimensions 15...

Q: T Fnd the inverse (dont we parhal ) FG) = 35 (34)5 frachion

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Q: If the pth, qth and rth terms of an A.P. are a, b and c respectively, prove that : alq – r) + b(r – ...

A: first term  = A  COMMON DIFFERENCE = D now according to the question

Q: Determine the continuity of the following functions. Determine continuity, If applicable- the kind o...

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Q: 10x + 5y - 4z + 2w 6 x +y + 4z - 3w = 2 6x + y- 1 8z +5w 2x + 2y + 8z-w = 3 W

A: Given system is  10x + 5y - 4z + 2w = 6 x+y + 4z - 3w = 2 6x + y- 8z + 5w =1 2x+2y + 8z-w = 3 We sol...

Q: 2. Use Parseval's formula and a suitable Fourier series to sum 2n=1 (2n–1)? · 1 Hint: Look at Table ...

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Q: ;Use the Taylor series expansion for the function f(x)=(1+2x)", where n is a constant, about x=0.to ...

A: Taylor's series of the function fx=1+xn is  fx=1+xn=∑n=0∞nrxn=1+nx+n2x2+n3x3+.......

Q: In x 3. Compute the approximate derivative of f(x) = · at x = 2, using three-midpoint x² + 1 formula...

A: Given is a function and at a point at which the approximate value of first derivative of the functio...

Q: 2. Set up triple integrals in cylindrical coordinates that compute the volumes of the following regi...

A: Given, Different regions bounded by different surfaces. To find:  Set up triple integral in cylindri...

Q: Interpolate by means of Gauss's backward formula, the population of a town for the year 1974, gıven ...

A: The value of table for x and y x 1939 1949 1959 1969 1979 1989 y 12 15 20 27 39 52 Hereh = 1...

Q: Find the determinant of the matrix | cos A sinA sinB cosB sin A - sin B cos A+ cos B cos A - cos B O...

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Q: 1 Set up an iterated integral to evaluate | dV, where W is the region enclosed (x+2y+=+1) by the pla...

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Q: A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., В %3D (0, 0, Б) ...

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Q: Let V R2[x] be the real vector space of polynomials of degree at most 2. Let {fo, f1, f2} with fo(x)...

A: As per our guidelines we are supposed to solve only one question. For the solution of the first ques...

Q: Use Stokes's Theorem to evaluate JCF• dr. Use a computer algebra system to verify your results. C is...

A: To evaluate the integral ∫F·dR using Stokes's theorem, where F=6xzi^+yj^+6xyk^, and S: 25-x2-y2.

Q: :Show that if every point of a surface is elliptic, then any curve C on this surface positive curvat...

A: This is a problem of differential geometry.

Q: Problem 3. Solve the following equations system: 2x1 + 6x2+ 4x3 : 18 %3D 5x1 + 6x2 + 4×X3 = 24 -2x1+...

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Q: find a vector of length 5 unit that makes angle 76° with Y-axis and 25° with Z-axis ?

A: To find a vector of length of 5 units that makes angle 76° with y-axis and angle 25° with z-axis.

Q: 1 and a1 = 14. %3D Find an explicit formula for az 4aj –1 + 5ar – 2 for k > 2 with ao

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Q: Define subspace and Verify whether is subspace or not: v = {(x,y,z):x,y,ze R' and x-2y+3z = 5}

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Q: Find the distance between parallel lines x - 2y - 8 = 0 and x - 2y + 8 = 0. Select one: O a. 9.24 O ...

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Q: Find the first 5 terms of the following sequences and then write the sequence in list form. a) Let a...

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Q: Find the Laplace transform (3)

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Q: 2. Rotating around a vertical axis: y = 4x -x2, y = 3 and rotated about x = 1.

A: We have to find point of intersection and draw the region bounded , Then rotate the region about x=1...

Q: An employee group requires 6 people be chosen for a committee from a group of 16 employees. The empl...

A: Given that Number if people in the Human Resources=5 The committee requires that exactly 2 people fr...

Q: 4. Find the solution to the differential equation ä + 3i + 2x = 0 x(0) = a, i(0) = b

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Q: 8. a) Solve by Picard's method dy = 1+ xy, dx y(0) = 1 for x=0.1. Compare it with the exact value of...

A: Here given differential equation is                                                     dydx=1+xy,  ...

Q: 2) Min(Z) = 4X1 + 6X2 S.T. 5X1 + 10X2 12 X1,X2 20

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Q: Find the general solution to the following vector DE. 1 æ[t) = | -2 1

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Q: 3. The following row operations were applied in order to a 3x3 matrix A to get matrix 2B. Compute de...

A: The following rules summarize the effect of an elementary row operation on the determinant of a matr...

Q: Find integrating factor for the given ordinary differential equation and show that it is a function ...

A: We have to find the integrating factor of the given differential equation and then we have to find t...

Q: 2) Let A=1/3*(Matrix x) Matrix X = 1 0 4 0 5 -4 4 -4 3 Compute the spectral decomposition of A and...

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Q: 1. X = {1, 2, 3, 4, 5} and Y = {3, 4}. Let's define a relation R in a set P(X), by a formula: (ARB) ...

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Q: (Multiple) Given Expression g suppose that x = 2 and y = 5. Define these variables in MATLAB and eva...

A: Given g = yx3x-y

Q: Let V=R2[x] be the real vactor space of polynomials of degree most 2. B={f0 ,f1 ,f2 } where f0(x)=1,...

A: The quadratic approximation of a function f at x0 is: f(x0)+f'(x0)(x-x0)+f''(x0)(x-x0)22 = Q(x)

Q: Suppose that R is a reflexive and transitive relation on a set A. Define a new relation E on A by th...

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Q: 7. a) How many different paths of length 2 are there in the undirected graph G in Fig. 11.43? b) Let...

A: Path : A path in a graph is a finite or infinite sequence of edges which joins a sequence of vertice...

Q: Find the length of the curve in the picture given in polar form.

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