1. Compute the Frenet apparatus k, 7, T, N and B of the following curve √2 a(s) = (1 – ½ c cos s, 3 + cos s, sin s). 2 Show that this curve is a circle and find its center and radius.

Q: b) Let T:R³ R³ be a linear transformation, and let B = {e₁, e2, e3} be the standard basis for R³.…

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Q: = Find the Fourier series of the function obtained by passing the voltage v(t) Vo cos 100nt through…

A: The given function is                     ft=0                         -L<t<-L2V0cos100πt…

Q: ind the complete Fourier Series of f(x) = { 4 if (-2 < x < 0) if (0 < x < 2)

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Q: 1. Find the Laplace transform of the function: f(t)= t¹3¹0-13cos³ (t) + et sin(10t) cos (13t)

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Q: Question 2: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3…

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Q: Formulate a 4th order interpolating polynomial that models the COVID cases in the Taiwan from April…

A: We will label the months with numbers as follows: Month Cases 4 60457 5 55875 6 68659 7…

Q: 2. A pay phone at a railroad station charges $0.55 for the first five minutes (or part of) and $0.25…

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Q: Find May of the volume, if the solid of density & (x,y,z) = Z and the lower parabola is (Z₁ = x² +…

A: Given that  Lower parabola: z1=x2+y2 Upper parabola: z2=4−x2−y2 Density: δx,y,z=z To determine:…

Q: The terms T₁, T₂, T,,T,,T, of a sequence are given as follows: T₁ = 1=1 T₂ = 3=1+2 T₁=6=1+2+3…

A: The general formula for the sequence is already calculated as Tn=12nn+1. Use this formula to…

Q: Limits involving infinity 1. Use graph to find the lim f(x) and lim f(x) of the following function…

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Q: π Q3/ Evaluate Sosyx siny dx dy 0 0

A: Consider the given integral, I=∫0π∫0cosyxsinydxdy perform the integration,…

Q: 10. Particular solution of y"-4y' + 8y = x³, when x = 0, y = 2, y' = 4

A: We have to find the particular solution of y''-4y'+8y=x3,  when x=0, y=2, y'=4.

Q: Consider the following optimisation problem min f(x, y) = x + y − x2 subject to x + y ≤ 1 x ≥ 0, y ≥…

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Q: Use (a) bisection method and (b) false position method to find the solution to the following within…

A: Suppose the root of the function fx lies in the interval xn-1,xn. Use the following formulae, to…

Q: S Sifoo-gool dx O d2 (f.g) = Sup {/fox) - gox|} V£₁9 € [0₂4] if d, (fig) = Find Ⓒd₁ (√x,x) @d₂…

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Q: Newton-Raphson Method Description of task. 21. This is a method which involves using an iterative…

A: Given function is f(x)=5x2-4x32-6 Then…

Q: Numerical Integration: S (2.². (2x² – 3x)dx 2. 2

A: Let, f(x) = 2x2 - 3x, We know that Simpson one third rule gives the accurate result up to third…

Q: The figure below shows a function g(x) and its tangent line at the point B = (2.8, 8.2). If the…

A: The coordinate of point A and point B are given below. A=2.77, 8.14B=2.8, 8.2

Q: 1. Give one example of coherent logical argument, its premises and conclusion.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Joanna is investigating how a harmful substance from pollution is absorbed by the human body. She…

A: To find the general solution to the given system of the differential equation.…

Q: Make sure that the set {(-1, 1), (3, 0), (2,5)} generate R²

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Q: (d) Determine if the vectors w = [2 1 1] is in the row space of A 1 (e) Determine if the vector a =…

A: This is a problem from the linear transformation.

Q: 1. For each equation, first find the general form of the solution, and then apply the given Cauchy…

A: Note: As per our guidelines we will solve only first question. If you want any specific question to…

Q: Given a 2 x 2 matrix A, let u, v be the solutions of ú= Au and u(0) = -H Define the (time-dependent)…

A: Given that, A is a 2×2 matrix and u and v are the solutions, such that, u˙=Auu0=10  and v=Av˙v0=01…

Q: how graphically

A: Given: System of linear solution. To find: Solution of the given system of linear solution. As per…

Q: 4. A population of squirrels is currently measured to be 500 squirrels. a. Write a function P(t) to…

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Q: Year Enrolment Year 2011 1,200 2015 2012 1,500 2016 2013 2,000 2017 2014 2,500 2018 Forecast the…

A: In this question, the concept of average is applied. Average The arithmetic mean is the ratio of the…

Q: f(sin 3B)(cos3 B)4dB Apply the transformation method

A: Introduction: Integration is accomplished using the reduction formula. Integration by reduction…

Q: V = M ₂x2 (IR) let M = { A€ V A = A} N = {A = V A = - A^²} Subset of the vector space V The answer V…

A: To prove  V=M⊕N we need to prove  (i) V=M+N and  (ii) M∩N=0

Q: Chapter 9.2, Question 6 If Shanta deposited $2800 in an investment fund that was earning 5.5%…

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Q: 1) -3s2-12s-8] L-1 의 (s+2)³

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Q: 5. Find the distance from the pole to the vertices, and then find the equation of the hyperbola in…

A: To find: Vertices of the curve and the equation in rectangular coordinates of the following polar…

Q: Using the values given in Exercises 1 and 2, verify that b f*f* f(x, y) dy dx = f*f*f(x, y) dx dy. 1…

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Q: For a function f(z) (where z = x + iy) consisting of f(z) = u(x, y) + iv(x, y), the following u(x,…

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Q: e 1. If F(x) = [ dt, find F(1) and F'(x).

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Q: + Is f one-to-one? is fonto? f:w→ z defined by f(n) = n! = (1) (2) (3)... (n − 1)(n) with 0!: = 1

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Q: Using the Runge-Kutta method of the fourth, solve y"= y + xy', y(0) = 1, y'(0) = 0 to find y(0.2)…

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Q: Reparametrize C: R(1) = (¹-²³, Vēts, ²+1) using the arc length is measured from the point P (3, -,0)…

A: We are given a 3d curve in paramatrized form. And we have to reparametrize it using the arc length…

Q: 8. Using the Runge-Kutta method of the fourth, solve y" = y + xy', y(0) = 1, y'(0) = 0 to find…

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Q: 6. Find the area bounded by the curve y = log x, the x-axis, and the line x = 2.

A: This is the problem from the area under the curve.

Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x, y) = 10xye-(x²…

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Q: rage sales per agent per month from March to May target? Answer: % Which one is the category with…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Calculate the integral approximations T4 and M4 for fr5 dx. Your answers must be accurate to 8…

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Q: Question 1. Given the following graph G = (V, E): (a) Compute the eccentricity of all nodes. (b)…

A: We Know that,  Eccentricity of a vertex is the maximum distance between a vertex to all other…

Q: QUESTION 9 Question 4 (Answer Questions 4.1 4.2 based on this Question) Consider the Logistic…

A: To solve the given logistic difference equation.

Q: 3. Suppose A € M5,5 (R) and det(A) = -3. Find each of the following: (a) det(A¹), det (A-¹),…

A: Given  matrix   A∈M5x5  and  det (A) = -3  i.e.    A = -3 (.)  If  any two rows ( columns ) of a…

Q: 3. Let R be the region below bounded by the parabola y = 4 - 2² and the lines 3x - 2y +3=0 and y =…

A: The region R is bounded by the parabola y=4-x2 and the line 3x-2y+3=0 and y=0.

Q: [*f(x) dx = Given that $f's is 54 wha f(w)dw

A: Properties of Integral 1. ∫abf(x)dx=-∫baf(x)dx 2. ∫abf(x)dx=∫abf(w)dw

Q: 1. Find the sum of the first 20 terms of the sequence: -2, 2, 6,10,14, ... (Note: Type the VALUE…

A: To find the given terms and the sum of the given sequence :-

Q: Solve the following integral: [[ [² xy²²³-²³-²dx dy dy dz Good Luck

A: The integrals in the form ∫ab∫cd∫eff(x,y,z)dxdydz are called a triple integral, which involves the…