Find the Fourier series of f(x) = {0,-5 < x < 0 {3, 0

Q: 5. ydx - (x +3y')dy = 0 Ans. x = 6y In C

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Q: For the given surfaces, classify the indicated trace (empty set, point, lines, ellipse, hyperbola, o...

A: we have to find the trace on x = 0

Q: E FO Figure 1

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Q: 3. Which of the following are subspaces of Mnxn: Justify your answers. a) Nonsingular matrices b) Si...

A: Let V = Mn×n be the vector space of n×n matrices. Then W is a subspace of V if  1. Zero vector is in...

Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

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Q: 18. Show that every base 7 palindromic integer with an even number of digits is divisible by 8. 19 D

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Q: 1. Prove that cos²z + sin²z = 1 eiz + e-iz eiz – e-iz Note: cos z = and sin z = ; let z = x + iy 2i

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Q: Touching all edges in a graph without repeating or picking up your pencil and starting and stopping ...

A: Touching all edges in a graph without repeating or picking up your pencil andstarting and stopping a...

Q: 14. Solve the boundary value problem. y'+y = x² + 1, y(0) = 5, y(1) = 0

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Q: If A = 40ej120°. B = 20Z140°, C = 5 + 2i, solve for A + 2B + C in rectangular form. %3D %3D

A: Here i=√-1. Sometimes j is used instead of i.  

Q: 5. Determine whether the given pair of graphs is isomorphic. u2 v2 V3 V4

A: The number of vertices in graph 1= 8 The number of vertices in graph 2 = 8  The number of vertices i...

Q: Evaluate the following integrals: 1) /x*. Inx". dx

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Q: 21. z² + (3 – 2i)z + (2 + i) = 0

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Q: Selve the Differential Equation: E m+l m coscmx) by using 3x the mothod of undeterminech coofficient...

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Q: determine the area inside of the inner loop of the limaçon r = 2 cos 0 – 1.

A: We have to find area of r= 2cos(theta)-1

Q: Simplify: i29 + i?1 + i2050 in form a + bi.

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Q: 6. Let f : A→ R be a continuous function. Show that if A is compact then sup f(A) E f(A). 7. Show th...

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Q: ax -bx -cos mxdx, a>0, b>0

A: note : As per our company guidelines we are supposed to answer ?️only one question. Kindly repost ot...

Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: Əelre y +y?+ Hy' tHy=3sinCa)-coscad. lse the m coofficients. こ othod of undetermñecd

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Q: XCt) = Ct +2)sin Ct -4) xct) = 3(t/4) e 78

A: Some of the properties of Laplace transformation Ltnf(t)=(-1)ndndtnf(t) Laf(t)=aLf(t)Lsinat=as2+a2Lc...

Q: 14. Solve the boundary value problem. y"+y = x2 +1, y(0) = 5, y(1) = 0

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Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

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Q: A dietitian in a hospital is to arrange a special diet composed of three basic foods. The diet is to...

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Q: Quèstion 1 3x Find the sum of the Fourier series of the function Ax) = e*-1 SxS1 atx= -1 OA3 O B. +e...

A: For a  function f(x) in the interval [-L, L], Fourier series can be given by f(x)=a0+∑n=1∞ancosnπxL+...

Q: The linear transformation T: R Rm is defined by T(v) = Av, where A is as follows. 0 1 -6 1 A = -1 4 ...

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Q: Determine the intervals of concavity for the function f(x) = xex .

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Q: Compute the Laplace transform of the following: f(t) = t2e 3t

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Q: It can be shown that y1 e31 and y2 d'y = xe are solutions to the differential equation dy + 9y = 0. ...

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Q: f(x) = Jsinx 02x>N T >x22n

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Q: Ten national leaders are to be seated at a round table at a summit. If the presidents of the US and ...

A: 10 national leaders are to be seated at a round table at a summit. If the presidents of the US and R...

Q: Linear Algebra (a) Show that W is a subspace of M2,2. (b) What is the dimension of W?

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Q: Find three (3) distinct roots of the cuberoot of 8 and express the root in rectangular form.

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Q: Find the inflection points of the function f(x) = x 2 ln x

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Q: 1. Using the definition, not the table, find the Laplace transform of the function f(t) shown below....

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Q: cosx sec? x + cos x csc csc? x csc? x secx cos? x cos x cos x E f(x)dx _ 2 1. If f(x) 1 , then

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Q: If z= 1 - 2i

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Q: a) parent: y = x5 transformation: y = 2(-x + 4)5 – 1

A: Solution

Q: f(x, y, z) = z(x² + y² + z²)-3/2 over the part of the ball x² + y² + z² 2.5

A: Here we will use cylindrical co ordinate system to find value of integral  By using above figure .r...

Q: z2 + (3 – 2i)z + (2 + i) = 0

A: Here, we need to solve the following complex number equation.                 z2+(3-2i)z+(2+i)=0 Let...

Q: Premises: Vx(L(x) → H(x)) 3x (~ J(x) A L(x)) Conclusion: 3x (H(x) A - J(x))

A: Given that Premises:      ∀xLx→Hx                        ∃x~Jx A LxConclusion:  ∃xHx A ~Jx We have t...

Q: Taylor is a lifeguard and spots a drowning child 30 meters along the shore and 40 meters from the sh...

A: Given - Distance of child along the shore = 30 m  Distance of child from the shore =  40 m  To find-...

Q: Find the Laplace transform of the function f (t) e2t = e2t using direct integration.

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Q: Solve the boundary value problem. y"+ y = x2 + 1, y(0) = 5, y(1) = 0

A: We solve the given boundary value problem  y"+y=x2+1.......(1) y(0)=5,y(1)=0

Q: f(x) to Let W be the subset of Co containing all of the solutions y the homogeneous differential equ...

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Q: Prove that a non empty set A is countable if and only if there exist a bijection from A to a countab...

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Q: S = 2.9375 Use the rectangles in the middle diagram to find the value of T = B1 + B2 + B3 + B4. T = ...

A: Given- A person is walking along a straight path has her velocity in miles per hour at a time t give...

Q: Question 7. Recall the knight and knave example, where you met three knights or knaves Alex,Bob,Cav,...

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Q: 7. Solve the recurrence relation A, = 4 An2- 3-A-1 subject to the initial conditions A, = 5 and A, =...

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Q: Choose the correct answer to the question below: * Which of the followingis logicallyequivalent to -...

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