Find the centroid of the region bounded by the graphs of 512 and y = 16. y? y = x, x = NOTE: Enter the exact answers. (7, g) =|(?, ?)

Q: It is true that i 8 It is true that 1+i in the polar form is 4/2cis(- )

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Q: (x, y, z) = ( i i

A: Given that Length of vector = 6√3 We have to find component of vector.

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Q: Problem 1. Consider the vectors 3 Let {e1, e2, es} be the standard basis in R° and let T : R³ → R*…

A: As per policy, we are solving the first three parts, Please Repost the Question and mention to solve…

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A: Given: Height of the pyramid=9 cm Length=width=6 cm To find dhdt at h=5 volume=13lbhSince…

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A: It is given that the region R is bounded by the curve y=x2 and the line y=x+2. We have to evaluate…

Q: Find the distance between the skew lines: x = 9 + 6t, Y = 5+ 6t, z =7–6t x = 7 – t, - y = 7, z = 6 +…

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A: Given : The given set is  S = {(2, -1, 3) , (5, 0, 4)}. To find : We have to write the following…

Q: Find the volume of the paraboloid, z = 9 – x2 - y², that lies inside the cylinder x2 + y? = 4.

A: we know the volume of any surface is given by ∬∫EdV ,where E is surface inside the cylinder x2+y2=4…

Q: Find AB such that [3 1 21 T-1 A = 2 1 2 and B =|4 [1 2 2] -2 -5]

A: The solution is given as

Q: We will use the definition of the Laplace Transform to determine the transform of f(t) 3t 1) Fill in…

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Q: Let [3 1 21 A = 2 1 2 [1 2 2] Find the following: 1.1 AT ЗАТ A-1 1.2 1.3 1.4 3AT + A

A: Properties of the Matrix

Q: Draw a sketch of the cylinder z = -4 - y2.

A: A cartesian coordinate system contains two mutually perpendicular number lines named x-axis and…

Q: 4- Determining Whether a 3 x 3 Matrix A is Orthogonal or not. - A = 2 -1 2 2

A: This is a problem of linear transformation.

Q: Solue the Follbwing System of equations using Goussian Eliomination: t 2y - 62 - + 7y + 4y -3X - 52…

A: Given Equations: -3x+2y-6z=65x+7y-5z=6x+4y-2z=8 To Find: Values of x, y and z using Gaussian…

Q: Consider the vector field F that is depicted below. On which of the parameterized curves is the…

A: Given the vector field F in the image

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Q: Consider the quotient ring Q[x]/ (a) Give an example of a zero divisor in this ring. Give the…

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Q: Let F be a commutative ring with identity and let f (x) E F[x] be a polynomial of degree 4. Which of…

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A: Solution

Q: Find the inverse of laplace, f(t) if: 8s2 + 12 9.F(s) = Ts - 2)²(s – 4)* (s – 2)²(s – 4)*

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Q: Test the series below for convergence using the Ratio Test. In(n) 6h n=2 The limit of the ratio test…

A: There are many methods to find the convergence and divergence of a series. One among such method is…

Q: Using Jacobi Method, obtain the solution to the system; x1 + 5x2 + 3x3 : = 30 3x1 + 7x2 + 13x3 = 80…

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Q: dx 1+x4 as a power series centered at 0. Write out the first four nonzero terms (not counting the…

A: This is the question from Taylor's expansion with Maclaurin's form and Numerical Integration.

Q: Prove lim(Vn+1- n)=c 8. 0 =

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

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A: The solution is given as

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Q: 10. Given à = 5î – 2ĵ – 2k and B = 4î + ĵ – k, compute Proj A. %3D

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Q: Consider the figure A(1,1,0) D B(-1,-1,-1) C(2,2,0) a) Determine the coordinates of D if ABCD is a…

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Q: Find the Maclaurin Expansion of f (x) = e 7 in sigma notation. (-1)" it. n!2" Σ (-)*+1 n!2" (-1)" Σ…

A: Maclaurain Series for the exponential function

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Q: Another model for a growth function for a limited population is given by the Gompertz function,…

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Q: WHICH OF THE FOLLOWING ARE DISCRETE PROBABILITY DISTRIBUTION? IF IT IS NOT A DISCRETE PROBABILITY…

A: Solution: Probability function is a function which assigns probabilities to the values of a random…

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A: This is a problem of functional analysis.

Q: Question 4 Suppose that at t = 4 the position of a particle is s(4) = 8 m and its velocity is v(4) =…

A: Given at t=4 the position of a particle is s4=8 m and its velocity is v4=3 m/s

Q: Prove ONE of the follow sin x+ cos 2x-1 tan x %3D a) cos x-sin 2x

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Q: Find an equation of the plane that passes through the point P(-3, -2, 3) and has the vector n = (-7,…

A: Find an equation of the plane that passes through the point P(-3, -2, 3) and has the vector n = (-7,…

Q: Let g be a function that is defined for all x, x # 2, such that g(3)% = 4 and the derivative of g is…

A: To find: Critical points of g where g'(x)=x2-16x-2,x≠2.

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 9/3 and whose components have…

A: We will use Lagrange Multiplier method to  maximize / minimize a function f(x,,y,z) subject to…

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Q: 1. Find the roots of f(x) = sin(x)+cos(x)+exp(x)-8 using Newton Raphson method.  Please write your…

A: We have to find the roots of the function fx=sinx+cosx+ex-8 using the Newton Raphson method.

Q: 1. Draw a sketch of the cylinder z= ==V36 – 4y2.

A: Given: z=1336-4y2

Q: (Choose from: a. Disk Method, b.Washer Method, c. Shell Method, d. Disk and Washer, e. Disk and…

A: Volume bounded by region along x-axis.

Q: Make a comparison between Euclidean and Non-Euclidean Geometry. Present your answer in a table.…

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Q: Use the substitution x = e' to transform the given Cauchy-Euler equation to a differential equation…

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Q: What is the minimum of the function y = -x° + 3x for x <-1? -4 O-2 4. O 2

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