Q7. Find the Fourier series of the signal f(t), with period 27, given on the interval [-, π] by f(t): = -1, 1, 0, for-/2 < t < 0, for 0 < t < π/2, otherwise.

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Q: 4. Is the set Q² x {a,b,c} countable or uncountable? You must justify your answer with a proof.

A: Given : ℚ2×a , b ,c  To Prove : ℚ2×a , b ,c  countable or uncountable

Q: If (an) is a sequence converging to L, prove that (an)=1 converges to L.

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Q: - x² + 8x between = Use the Fundamental Theorem of Calculus to find the "area under curve" of y x =…

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Q: at Let L-1 (F(p); x) = f(x). If f(x) is sectionall lim f(x) exists, then for p > a, we have x→0 x…

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Q: SERPOPS 27.P.028.WI. Hellum-neon laser light (A 632.8 nm) is sent through a 0.310-mm-wide single…

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Q: Consider the matrix A-[2] = with a, b, c and d real-valued numbers. Under which condition(s) for a,…

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Q: An operator Tona Unitary if and # onto itself.' only 2 Hilbert space H u if is an sometric of

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Q: lim n→∞0 Use the ratio test to determine whether lim n→∞ diverges. (a) Find the ratio of successive…

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Q: 5. The graph of y = f '(x), the derivative of f(x), is shown below. Given f(2)= 8, evaluate f(-2). 0…

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Q: find the approximate root of function f(x) = 3.43x³ -6.4cos(x) - 9.61 by using the Newton raphson…

A: Sol:- Here 3.43x3-6.4cos(x)-9.61=0Let…

Q: 3. Find the first order and the second order direct and cross partial derivatives and verify the…

A: Given  Z=x1x3+x12-x2+x2x3+x22+3x32

Q: 10. Consider the equation u, = ux. Use forward differences for both partial derivatives. (a) Write…

A: Since there are many multiple questions, so here solutions of first three parts.

Q: 9. Determine y at t=0.2 (0.2) 0.8 by the fourth order Runge-Kutta method, given that y' 1 t+y'…

A: To find- Determine y at t = 0.2 0.2 0.8 by the fourth order Runge-Kutta method, given that y' = 1t +…

Q: Calculate the following integral: f+ + +∞ е-6x²-6xy-6y²-8yz–6z² dxdydz

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Q: Given x = y² +y +₁ from 0≤ y ≤2 1. Which of the following expression giver the Are length of the…

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Q: A customer has cargo inbound from the port of Yantian to the port of Los Angeles . The LCL sell ra $…

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Q: Which is the correct auxiliary equation for the d²y dy differential equation =2-? dx dx 2

A: Given differential equation is d2ydx2=2dydx

Q: Question 3 Find the eleventh term of the given geometric sequence: -1, 2, -4, 8, .......... The…

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Q: How many of the following motions are a type of plane motion? Rectilinear Translation, Fixed-axis…

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Q: Apply anthe problem y' = Richard san extra polation ity: Itt year=e. and approximate y and 1 ร 2 h =…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Question 7. Solve the following initial-boundary value problem modelling the vibration of a string…

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Q: (false position) make initial choices of x₁ = 0.5 y x₁ = 2.5 и and run iterations until the…

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Q: Matrix multiplication part is clear. But initially how does Theta(3 2 1) get converted to the RHS…

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Q: Solve the problem Max (min) 3x² + 2y² +2² subject to the constraints z² = x² + y² and x-2z = 3

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Q: A study of 200 grocery chains revealed these incomes after taxes: Income after Taxes Under $1…

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Q: Suppose (an) is a sequence of positive real numbers such that an+1 Prove that liman (an) even…

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Q: solve the fellanting problem by a two-step method: y = 2²429 y' .t + y(a)=1 any single-step helping…

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Q: Find all solutions of the equation 6x = 4 in Z7

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Q: 3. The base of a solid is a region bounded by the lines y = 2x−2 and y=−x+4 and the x- axis. If…

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Q: Q9. Find the value of the right side of Gauss divergence theorem for F = x²ī + zj+ yz k over the…

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Q: Let X is a normed linear space and the ball M= {xe X:|| x ||≤1} is compact, then X is finite…

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Q: Solve the equation (px - y) (py + x) = 2p by reducing into Clairaut's form, taking the substitutions…

A: Question 4 statment is missing (brackets issue) so I solved only 5th question thank you  The…

Q: Find the volume of the solid that lies inside both the cylinder x² + y² = 16 and the sphere x² + y²…

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Q: Apply Taylor's series method of order p to the problem y'=y, y(0)=1 with h=0.1 and p=3.

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Q: (cos-isin) (cos 70+isin 70)-³ (cos 40+ i sin 40)² (cos+ i sin 0)³ Q2. Obtain the Power Series…

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Q: A company operates a fleet of delivery trucks. Study shows that gallons of fuel consumed per mile of…

A: Given Fx=k1x+k2x Differentiate w.r.t. x, F'x=-k1x2+k2F''x=2k1x3

Q: if I is an 18 an operador Hi them the following en апе 'a Hilbert space equila tent 1 T*T - I (1³)…

A: We know that , a Hilbert space is a vector space H with an inner product f , g such that norm…

Q: et a, b, and c be three numbers, not all zero. Show that the V et of all points whose barycentric…

A: Given that a, b, and c be three numbers, not all zero. To prove that the set of all points whose…

Q: If G is a graph, then the sum of its vertex degrees is nonnegative and even.

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Q: f:H1 x H2 x ... x Hn ---> H1 + H2 + ... + Hn via h1h2...hn ---> (h1, h2,...,hn

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Q: The longitude, z, of an air plane is affected by a random component , due to the wind effect and its…

A: As per the question we are given random processes : xt , vt related by : xt = xt-1 + 2vt-1 + εt vt =…

Q: Q₂i- If show that utt ч (хо) ut (x,0) - a 9/x). Z 3 u (X, Z) 2 Ux(xt) = a as 1x1_-2 ux 9. 2 u XX…

A: Using D'Alembert solution for one dimensional wave equation.

Q: Given, sequence of functions {f()} given by f₁ (~) = n for ^+ [0,1] and O otherwise

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Q: given in polar coordinates. (i) Create a table r(0) 0 r(0) r(0) -5m/12 76 r = 5 cos² (0/2), (-= < 0…

A: Given a function is polar coordinates rθ=5cos2θ2 where -π≤θ≤π To create a table for different values…

Q: Theorem 3.35. An operator Ton Hilbert space H is self-adjoint if a only if (Tx, x) is real for all x…

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Q: b) Show, with the help of the Intermediate Value Theorem (IVT), that the average weight of seelans…

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Q: Suppose there are two periods, O and 1. Denote Stochastic discount factor by m(51), where s1 is a…

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Q: 7. Compute the second fundamental form.

A: Given: Xu,v=u2-cosv, u+sinv, cosv We have to compute the second fundamental form.