Convert the spherical coordinates (4, 3'6, to cylindrical coordinates.

Q: Consider the following function: -- 2, -2 < r <-1 f(x) = {1, 2-z, 1<r$ 2. (1) Sketch the graph of f…

A: Given the function fx=-x-2, -2≤x≤-1x,           -1≤x≤12-x,         1&lt;x≤2. Sketching its graph,…

Q: Find Duf at P f(x,y,z)=4x^3y^3z^3;  P(1,−2,1);  u=1/3i+2/3j−

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Q: I. Find the values of x1, x2, x3 in the system of Linear Equations 2.x, – 6x2 – x3 = -38 | -3x, – Xz…

A: The given system of Linear equations are  2x1-6x2-x3=-38-3x1-x2+7x3=-34-8x1+x2-2x3=-20 To solve…

Q: We want to determine if the sequence n 4+6n is monotonic. Using the difference test we get that sn+1…

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Q: Consider the following maps from the closed unit disk D = {(x, y) E R? : x? + y < 1} in R? to…

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Q: a) ВА b) Determinant of AT c) cofactors(B) Where [3 2 0 0 5 4 7 0 1 A =|1 3 1 0 0 10 3 85 Lo 1 0 1…

A: We have to find the value of (a) BA, (b) determinant of AT and (c) cofactors(B)

Q: If X is a metric space with induced topology Ƭ, then (X,Ƭ) is Hausdorff. The contrapositive of this…

A: Given : (1) (ℝ, T) with the topology induced by taxicab metric.              (2) (ℝ, T) with the…

Q: 3. Find the Taylor series expansion of sinhx about x 0 and its interval of convergence. Then find…

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Q: (s? +3) s(s² +9) Q7. Find the inverse Laplace transform of ww

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Q: 6. (23) Answer: Show your work or explain your reasoning here: I 7. (39) Answer: Show your work or…

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Q: Are the lines x = 7+11t, y = 11–61, z = 4–9t, and x = 3–12t, y = 7–t, z = 12–6t parallel? Yes O No

A: We have to check whether given line is parallel or not?

Q: True/False: The vector field F = yzi + xzj + ryk is the gradient field of some differentiable…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 3. Find the Taylor series expansion of sinhx about x=0 and its interval of convergence. Then find…

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Q: a) Show that the matrix H constructed from a matrix A, as H = i(A – A†), is Hermitian, whether A is…

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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: Express 4/10 as a percent

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Q: In a public key cryptosystem using RSA algorithm, a user ases two prime numbers 11 and 17. He…

A: Solution :      Here, n= product of two primes                 = 11x17                 = 187    Now,…

Q: Set up, but do not evaluate, an iterated integral for . dv, where E is the space between two upper…

A: We have to find ∬∫EdV ,where E is the space between two upper hemispheres.

Q: A periodic signal a(t) is given below: x(t) -4 -3 -2 -1 1 3 4 14444 1. Determine the fundamental…

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Q: (b) x = 5 + 4t.y = -2+5t, z = 6 – 61 O (x, y. z) = (4, 5, – 6) + 1(5, – 2, 6) ai + bj + ck = (4i +…

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Q: By inspection, determine if each of the sets is linearly dependent. (a) s = {(2, -3), (3, 1), (-4,…

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Q: What is im ) 1+2i 3-4i 1 А. D. 2/5 B.

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Q: Let g be a function that is defined for all x, x not equal to 2, such that g(3) = 4 and the…

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are…

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Q: 3 Determine the unit vectors that are nernendicular to A - and R -

A: Perpendicular vectors

Q: 1) Maria invested a total $26000 into three accounts: a saving account paying 3% interest, a CD…

A: We have to find Maria's amount in the saving account, CD deposit, and bond paying.

Q: 5. A 1/4-kg mass is attached to a spring whose stiffness constant is 8 N/m. The damping constant for…

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Q: If f is lebesque integrable  over [a,b] the f is Riemann integrable over [a,b] . The converse is…

A: This is a problem of measure theory.

Q: If possible, give an example of an element of Ag that has the given order; if there is no such…

A: According to the guidelines i solve first 3 subpart so kindly request you to repost the remaining…

Q: Let f(x) = x2". Use logarithmic differentiation to determine the derivative. f' (æ) =

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Q: 2. \ Evaluate •V4-2² dydx + dydx 2x-r2 using polar coordinates.

A: We have to evaluate the integral using polar coordinates.

Q: (iii) x²y" – 7xy'+ 41y = 0. %D

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Q: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and r = 81 is…

A: Solution

Q: A closed rectangular box with a volume of 162ft is made from two kinds of materials. The top and…

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Q: Evaluate the line integral by the two following methods. "line integral"xy dx + x2 dy C is…

A: Evaluate the line integral by the two following methods.  "line integral"xy dx + x2 dy C is…

Q: 3. Prove the following using the epsilon-delta definition of a limit. d. lim 1 = 0 X→-o X

A: We have to prove limx→-∞1x2=0 using the epsilon-delta definition of a limit.

Q: Evaluate [[. (y+210 – = )aS, where S is the surface cut from the paraboloid y² +4z = 36 by the…

A: Surface integral of a function f(x,y,z) on a surface S given by z=g(x,y) ∫∫Sf(x,y,z)dS = ∫∫Df(x,y,…

Q: Evaluate 4-22 dydx + dydx using polar coordinates.

A: We have to find the double integral using polar coordinates.

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: Given the original function f and the transformed function g below, find the values of a and b such…

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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.

Q: 12. Convert the rectangular coordinates (-1,3,5) to cylindrical coordinates

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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

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Q: x + 2y + z – t= 5 -x + y+ 2z + 2t = 8 2 4x + 4y + 3z+ 4t = 22 2 1 x + 5 52+t= 3

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

Q: GENERAL MATHEMATICS Identify the domain and range of the following logarithmic functions. y=log…

A: Given function is y=log6x-1-5

Q: Let f be the function graphed below. If 10 subintervals of equal length are used, write a summation…

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Q: Show validity: Vxр (х, f (x)). Vx3yp(x, y)

A: Please check the answer in next step

Q: Find all homomorphisms from Zg →Z10 , and state the kernel of each of these homorphisms.

A: We have to find all the homomorphisms from ℤ8 to ℤ10 , and we have to state the kernel of each of…

Q: Use Gaussian Quadrature with 2 steps (n=2) to approximate -5 0.2 dx, xe' which of the following is…

A: According to Gaussian quadrature with 2 steps, ∫abfxdx≈c1fx1+c2fx2 Where…