Determine the centroid of a solid generated by revolving the region bounded by y = 2 - x^2, x = 0, y = 0 about y-axis.

Q: 1. Consider the Surface S₁ with equation x² – 4 = 2z • Draw and sketch the graph of S₁ in R³.…

A: The surface S1 with equation x2-4=2z. To draw the surface S1 in ℝ3.

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Q: Estimate the error in using the partial sum of 35 terms of the series > k=1 Error < Hint: Use the…

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Q: skip if you already did this or else downvote

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Q: Circulation and flux For the following vector fields, compute (a) the circulation on, and (b) the…

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Q: Calculate diam(C5), i.e. find the diameter of the chordless cycle on 5 vertices.

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Q: 2. Express as a single power series form: ²[₁ n=2 x2 n(n-1)anxn-2 + 00 n=0 anxn

A: Given that the power series x2∑n=2∞nn-1 anxn-2+∑n=0∞anxn

Q: (a) Solve the following inhomogeneous wave equation on the real line Utt-c²Urr = 2x - sin r U(x, 0)…

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Q: p.d.es (a)2z = Eliminate a and b from the following equations to form the +q9 suivio2 101 bodiem…

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Q: Find the solution of the following system using Gauss elimination. (Enter your answers as a…

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Q: Use the definition to determine whether or not =(3,5,-2)'. =(-2,1,4)', and =(1,3,7) are linearly…

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Q: Consider the vector field a (- (−26 · x² + y)i + (−52 · x · y + 42 · y · z)j + (24 · x² · y − 99 ·…

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Q: In an industrial process, chemical substance P and Q are being mixed in order to produce a mixture.…

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Q: If f(x)-3x+3x and f'(0)-3( by using 2-points formula with h=0.5), then the value of a is Select one:…

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Q: Write some applications of Regression analysis in Business. Write a note on classifications of…

A: Regression analysis is a statistical technique which establish a relation between two or more…

Q: Prove using induction, for all real x>-1 and n a positive integer

A: (1+x)n≥1+nxto prove by mathematical induction

Q: Stokes’ Theorem for evaluating surface integrals Evaluate the line integral in Stokes’ Theorem to…

A: Given: F=y , 1 , z and S is the part of the surface z=2x within the cone  z=x2+y2. To Find…

Q: Let (an) be an increasing sequence of real numbers bounded from above and (bn) be a decreasing…

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Q: The set {(x,x) x+x≤1) is a Convex set Open set Disconnected set None of the above is a(an)

A: The given set is {(x1,x2) | x12+x22≤1} Clearly, this set represents the points of unit closed disc.…

Q: eiz f ₁ TR lim R-00⁰ Z4 -dz = 0

A: For given semi-circle C(0,R) To show limR→∞∫Reizz4dz=0

Q: 54 16 6 3.5 12 shown below are 2. The rectangular similar What are the values of x and y?

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Q: Examine the following figure. 6 f(x)=sin(x) Of(x) = in(x) 2 One of the functions below is not drawn…

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Q: 2 method to solve the 2nd order ordinary differential Use the Runge-Kutta + 16. Y = 0 with respect…

A: Given that the 2nd order ordinary differential equation                           d2Ydt2+16Y=0,  and…

Q: 1. Chaka Furniture makes chairs, arm-chairs and sofas, the profits are Php 60 per chair, Php 70 per…

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Q: I. LOGARITHMIC FUNCTIONS. Find the EXPANDED FORM of the following Logarithmic Functions. 1. In 3x 2.…

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Q: Graph the solid that lies between the surface z =2xy /(x 2 + 1) and the plane z x  +2y and is…

A: Given: Surface, z=2xyx2+1 and the Plane, z=x+2y; Boundary conditions: R→0, 2×0, 4To find: The volume…

Q: 2. Farmer Conor wants to build a rectangular pen for his pack of Llama's. He has a gorge with a…

A: The total fencing available is 274 feet. The rectangular pen has the river on one side which need no…

Q: Can you find a continuous function f : [0, 1] → R such that for all c> 0 there exists x = [0, 1]…

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Q: 2. (a) Explain what is mean by a linearly independent set of vectors. For which values of k is the…

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Q: 3. Ruffa's diet requires that all the food she eat come from the four basic food groups: chocolate…

A: Introduction:                     The goal of this problem is to find the optimal combination of…

Q: CloudRack provides web hosting services on their 9 servers. When a person requests a page from one…

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Q: Define  Normal mode of a matrix transformation?

A: To Define: Normal mode of a matrix transformation. Matrix Transformation: It is used to transform…

Q: X P(X) 0 A 1 B 2 C 3 D You are filling in the blanks for A-D in each cell. Each probability value…

A: We are given a probability distribution. We have to find the probabilities and the mean and standard…

Q: ne Zt. Solve the congruence x = n" (mod p), where p is a prime of the form 4n ± 1,

A: The answer provided below has been developed in a clear step by step manner.

Q: Find the radius of convergence R of the series n=0 (-2)"n¹(x-1)";

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Q: Uniform shaft is fixed at one end and free in other end, if a²0 a²0 01² 0 0 0x². 0(0, 1) = 0, = 0 at…

A: Given,                  ∂2θ∂t2=a2∂2θ∂x2,  0&lt;x&lt;1, t&gt;0                             ...(1)θ(0,…

Q: 19) 525° 21) 5 п 6

A: The given angle measures, 19) 525° 21) -5π6 We have to draw the angle and find its co terminal…

Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1). 9. 2x - 4y…

A: Given that the pointsx1,y1,z1=0,1,3x2,y2,z2=2,2,2x3,y3,z3=3,2,1

Q: Does (7, 0) make the equation y = 2x + 7 true?

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Q: Find the solution of the following system using Gauss elimination. (Enter your answers as a…

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Q: Work integrals in ℝ3 Given the force field F, find the workrequired to move an object on the given…

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Q: using partial fraction to simplify x(s) = mg s² (ms+b)

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Q: 4. The figures below are similar. What is the length of x? 4 in 8 in 6 in 10 in H X: 15 in

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Q: 4) The number of snakes on Snake Island in Georgian Bay any year is dependent on two sources. Every…

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Q: If the vector v has initial point P, what is its terminal point? v = (0, 0, 3), P(0, 1, -3) (x, y,…

A: Given: v=0, 0, 3, P0, 1, -3. Also, P is the initial point of the vector v. We have to find the…

Q: Week Job Sat Score Absence Rate It is 6% higher It is 12% higher It is 43% higher 1 They are the…

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Q: Find the directional derivative of ƒ (x, y, z) = 6 xy² – 4yz² — z² at P = (3, 2, -4) in the…

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Q: Seven subtracted from twice a number gives the quotient of negative seventeen and thrice the product…

A: We have to describe the given statement.

Q: i) Solve the following system of equations using Gauss (or Gauss-Jordan) elimination: 3x+y =-2 4x…

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Q: A two-dimensional vector field describes ideal flow if it has both zero curl and zero divergence on…

A: Given: F→=tan-1yx, 12lnx2+y2To find: a) ∇·F→ and ∇×F→              b) Potential function φ and a…