Fourier Series 1. fix) = x²= ₁1 = Express fox) fr *²= iT02x LTT as an even

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A: To optimize a function of several variables, set the partial derivatives equal to zero.

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Q: 1.)Supposed that a mass weighing 10 lbs. stretches a spring 2 inches. If the mass is displaced…

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Q: Evaluate the line integral 3xy ds where Cis line Segment Joining (-5,7) to (3,1) the

A: Introduction: A line integral in calculus is an integral where the function being integrated is…

Q: Ngày: Tuan:- 2 3 4 5 6 7 CN 3 Criven a function of two variables: 2 = 1x³ +11, ²³- xy +2 Choose ong…

A: The given function is z=13x3+13y3-xy+2. We have to select the correct option: (A) The function…

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Q: Show your solution. Given the differential equation: x(x+3)y'' - 9y' - 6y = 0 Question: Which of…

A: We can solve the given problem by Frobenius method.  In this method we consider the series solution…

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Q: Let V = R3 and let W = P3(R). Give a nonstandard basis and different from (1,1,2), (1,1,3) (0,1,1)…

A: Let V=ℝ3 and W=P3ℝ   To Give: A nonstandard basis different from 1,1,2, 1,1,3, 0,1,1 and find a…

Q: Alex has these marks in high school English 81% French 74% are 79% science 82% say what Mark will…

A: Mean is defined as the average of the given numbers and is calculated by dividing the sum of given…

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A: The given differential equation is dvdt=g-cDmv2, where, g=9.81, m=45kg, cD=0.16kg/m,…

Q: Show your solution. Given the differential equation: x(x+3)y'' - 9y' - 6y = 0 Question: The…

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Q: If 4x³ + 9x² - 1 is divided by 2x+1, then the restriction on x is OA) x = 1/2 Q¹ B) x1 O c) * = -…

A: Given: Multiple choice questions. Question 1) If 4x3+9x2-1 is divided by 2x+1, then restriction of x…

Q: Let A = 1 0 1 0 11 1 1 and B= = 0 0] 1. If C= AO B, then C32: and C13= = 1 1 0 01 0 1 1 0

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

Q: Find the solution of the given initial value problem: y (4) + 2y"+y = 3t+ 4; y(0) = y'(0) = 0, y"(0)…

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Q: In 5(x), the spike shifts to x = . It is the derivative of = shifted step U(x-1). The integral of…

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Q: It can be shown that all solutions of 4y + ty = 5 approach a limit as t →∞. Find the limiting value.…

A: Given differential equation is 4y' +t y =5 Rewrite it, 4y' +t4 y =5  y' +t4 y =54

Q: Find the general solution of the following differential equation. y" + 3y - 10y = 0 NOTE: Use c₁1…

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Q: Let V and W be vector spaces over a field F, and let T: VW be linear. Let 3 be a basis for V. Prove…

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Q: Determine the longest interval in which the given initial value problem is certain to have a unique…

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Q: etermine the interval of convergence for the series x+ 9x² 27x³ 81x4 + + 5 7 9 + ...

A: Given series is x + 9x25 + 27x37 + 81x49 + ...

Q: Question 4 All rational functions have at least one vertical asymptote. True False Question 5 A…

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Q: If a partial sum of the Maclaurin Series for sine is used to approximate the value of sin(x² (²) d ,…

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Q: Given that A is transformed into U by the elementary row operations below, complete E, ¹ and ₂¹ A =…

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Q: P = = (p² + 2√² ) prove transformation canonical or on or not?

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Q: 70 P is a point on a straight line with position vector r=a + tb. Show that 7=a+2a-bt+ B² By…

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Q: Let T :P2(R) → P3(R) be defined by T(f) = f(t)dt. Show that T is linear, find the nullspace and…

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Q: Write the basic feasible solution for the tableau. Write the values for each variable including the…

A: The non-negative basic solution is called the basic feasible solution.

Q: H-w:- Solve for y"=-3 sing X= 0.1 the L.U.P y (o) = TI Y'67=1

A: We need to solve the differential equation: y''=-8siny given the initial conditions: y0=π4,  y'0=1.

Q: Question 1 The reciprocal of every linear function has a vertical asymptote. True False Question 2…

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Q: Consider the initial-value problem (x² − 1)y"+y' + y = ex y(1) = 1 y' (1) = -1 Does the Existence…

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Q: Find a closed form representation for the function defined recursively by f(1) = 10 and f(n)=2f…

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Q: ys É (x₁4₁ 2) = -9x² +10ln(y +1) + 6x² +10y= We have Ex= 1 F₂ = [ [ With x = 2₁ g =0 we have 2 = -

A: This is a problem of multi-variable calculus.

Q: find the area of the surface formed by revolving the cardioid r= a(1+cosθ) about the x-axis

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Q: Show that A = P-¹BP. [2-13] -4 and B = 1 -2 -2 2 are similar matrices by finding an invertible…

A: To show that          A=7-132-4, and   B=1-2-22 are similiar matrices.

Q: Show your solution: Given: y'' + 3xy' + 7y = 0 Question: Which of the following is the expression…

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Q: Find the solution of the initial value problem 1 6y" - 7y + y = 0, y(0) = 6, y'(0); 6 Then determine…

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Q: 10. Find an equation of the plane that passes through the points (x, y, z) = (1, 2, −1), (x, y, z) =…

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Q: Use spherical coordinates to find the volume of the solid. The torus given by p = 6 sin() (Use a…

A: We need to determine the volume of the torus: ρ=6sinφ.

Q: Nup 0.6+ 0.387 (675586) 1+ 9 0.559 16 0.7228 8 27 = 13.1 How to get 13.1 by calculator? I try many…

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Q: II. Using the table of values above, determine the following: 1. lim (2x + 1) 2. lim (2x + 1) x-1…

A: Introduction: Unique real numbers are limits in mathematics. Consider the limit of a real-valued…