1. Use Green's Theorem to evaluate |F. dr, where F(r, y) = (3y- esin, 7x + Vy + 1) and C is the circle of radius 3.

Q: Find the moving trihedral and the curvature at any point of R(t) = (3t2, sin 2t, cos 2t).

A: Introduction: The Frenet–Serret formulas in differential geometry describe the kinematic properties…

Q: Table 1. The table below shows events A and B, and their complements, Ac and Bc, respectively. Вс…

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Q: y" -[1 + (y')*]»/2 = 0

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Q: (EP)* = P*E*

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Q: 25.2 Solve the following problem over the interval from .x 0 to 1 using a step size of 0.25 where…

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Q: Please show a manual step-by-step solution for the problem so that I can learn how to do it. Thank…

A: You have written on the top of your question post the following: "Please answer letter b. provide a…

Q: An idealized two-dimensional ocean is modeled by the square region R= with boundary C. Consider the…

A: To Choose: The correct option which represents the velocity vectors in the counterclockwise…

Q: Consider the following propositional logic knowledge base (KB) that encodes these premises BAT=0 O =…

A: F1 : B ^ T => O  ≈ ~(B ^ T) v O                            ≈ ~B v ~T v O F2 : O => B ≈ ~O v B…

Q: Make an application problem regarding equations (algebra) Follow these steps - Question - What is…

A: Al has 12 apples , He gave 4 to his sister. How many apples is Al left with? 1. Question: Al has 12…

Q: Find the Fourier series

A: Given,          f(x)=1if -π≤x<0-1if 0≤x<π

Q: , How many ways are there to distribute r+s identical balls among five different children such that…

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Q: Q.1 Which of the following function are linearly independent? A. sin x,si n 2x, sin 3x B. 2x, 6x +…

A: To show which of the following functions are linearly dependent: A. sin x, sin 2x, sin 3x B. 2x,…

Q: Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y…

A: Given quadratic surface is 100x2+36y2+225z2=900. a  We have to write the name the given quadric…

Q: [5 2 0 similar to B; if no, explain why not. Let B = Is the matrix B orthogonally diagonalizable? If…

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Q: The geometric object in 3-space represented by the equation (x + y +z)^2 = 81 is a. the empty set O…

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Q: measure of minor arc PN = 110° T. 110° L, P

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Q: This does not make alot of sense. If applying the definition how does the e^-st get moved outside as…

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Q: functions" then site one 3. Explain the statement "All functions are relations but not all relations…

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Q: Find the greatest volume of a rectangular box such that the sum of its length, width, and height…

A: To maximize the volume of a rectangular box such that the sum of its length, width, and height does…

Q: I do not understand the format of your answer. Please answer in a different format

A: Series and sequences, test for converges by using alternating series test

Q: Homework 1. Determine all the accumulation and boundary points of the following sets in (R,1. ): (b)…

A: As per the policy, we are solving only 3 parts of this question. Please repost the question and…

Q: 2. Find the Fourier series expansion of: (0, f(x) = -1 <x < 0 sin Tx, 0< x <1 and then use it to…

A: Fourier series of the discontinuous  function

Q: Question 4. Define the power series * 2k+1 2k +1 r2k+1 T(1):= L (2k + 1)² S(1) := k-0 (a) Show that…

A: We will use the basic knowledge of real-valued functions, series, and integral calculus to answer…

Q: Find the approximate root in 5th iterations of the function f (x) = x³ – x – 1, xo = 1.5 by x = Vx…

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Q: Give the following system (M). x = 2(mod 13) x = 1(mod 14) x = 3(mod 15) x = 2(mod 16) Which among…

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Q: Calculate the circulation of the field F around the closed curve C. F = (-x - y) i + (x + y) j ,…

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Q: we get 8 X(S) - SYLS) + 0 =0 SX{S)-2YLS)-1 =0 By cross MulHplecation, we get Y(S) O+8 -16+s? Y(S)

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Q: Find the 3rd derivative of (1 + 2y)³ + eª (sin² y) - 3y cos(e=? )

A: Given data (1+2y)3+ex(sin2y-ycosex2=3y and find 3rd derivative or d3dx3=?

Q: How did we get 0 224 and 112 on the last step of the inverse method

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Q: Please show a manual step-by-step solution for the problem so that I can learn how to do it. Thank…

A: Given  ∫01.2e1.2xcosx1+0.5x2dx where y=fx=e1.2xcosx1+0.5x2dx a=0, b=1.2  and n=16

Q: Compute the shared mass beween the polar curves (r 2a cose) and (r = 2a sine) use density equal to…

A: We need to find area of common region and then multiply it by density to find mass If f is…

Q: (a) Let p EN be a prime number, p # 5, and let n E N. Determine the number of solutions to the…

A: First we shall show that a solution doesn't exists for all primes. For p=11 there is only one…

Q: Let A be the point with coordinates (6, 3, 3) and let B be the point with coordinates (5, 3, 4). Let…

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Q: Find atleast 1 root for the equation 5x5 + 10x? = 3

A: Introduction: An equation can be described mathematically as a statement that proves the equality of…

Q: e'dy + (5t + ye')dt = 0.

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Q: b) Find the general and definite solutions of the first order differential equations (i) dy/dt +…

A: Solution of first order linear differential equation

Q: Permutation and Combination Show Solution 1. In how many ways can the string ASMEEKASALAMB be…

A: Given the word "ASMEEKASALAMB" To find in how many ways the above word can be arranged without…

Q: Find the maximum opproximate error in the volune of right cirwlar due to possible cone errore of /6…

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Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: We can solve this by using area of a region bounded by given curve

Q: Find a generating the vz-lane for t

A: Given: Given the surface of revolution with the equation x2+y2+z2=e2x. To find: Generating curve on…

Q: Answer the following using Jacobi Method. Show complete solutions. 2. 9x1 - 13x2 + 4x3 = 111…

A: For simplify the calculation we change the notations of variables as given below.

Q: Question 11 Let T the endomorphism on g2 defined by T(x, y) = (2x +y, 2x+y). Fill in the following…

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Q: Let a and b be positive integers such that ax + by = 7 for some integers x and y. Then %3D

A: We have to choose  current answer of given statement.

Q: Let w = ( { (x.y,z) ER3: x+y-z 0) be a subspace. A basis of w+ is [A].

A: Solution

Q: List the solution: xi = x2 = %3D O x3 = T3 is not needed O x4 = %3D C4 is not needed

A: claim- find the maximum value of f and the set of variables that gives this maximum value.

Q: Зх + Зу + 12г %3D 6 + 4z = 2 х+ у+ 4z y - 2х + 5y + 20z %3D 10 — х + 2у + 82 %3D 4

A: The given system of linear equation                                                  3x+3y+ 12z=6…

Q: Find the coordinate vector for w relative to the basis S= {u1, u2} for R2. uj = (1, 0), u2= (0, 1);…

A: Here we use basic defnition of change of basis coordinate

Q: PERFORMANCE TASK : SOLVE FOR QUARTILES GROUPED DATA Scores Frequency 30-34 3 9.

A: the given data is  scores frequency 30-34 3 25-30 9 20-24 8 15-19 5 10-14 2   N=27…

Q: Figure Q2 shows a rectangular enclosure formed by a straight wall AB and a fence CDEF of length 10m.…

A: The area, A, of a rectangle is calculated using the formula: A=l×w. Here, l, w are the length, width…

Q: 6. For A, B, subscts of R, define A+B= {a+b:a€ A, bE B} and A B= (ab:a € A,bE B} (a) For A=…

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