Q3) Obtain the Fourier series of the waveform shown in Figure below. Use the exponential form of the Fourier series. x(t) T A 0 -A T T

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Q: 5. Lena used 36 m of fe garden on her farm a) Sketch some pos What is the area. b) How many differ.

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Q: (5) In commutative ring with identity each proper ideal is contained in prime ideal. От OF

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Q: 3. Solve the following differential equation using any appropriate methods: First, find the general…

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Q: Evaluating a Double Integral SS -dA where R is the triangle in the xy-plane bounded by the x-axis,…

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Q: (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial derivative.

A: Let us find the four second partial derivatives of the given function in the next steps.

Q: Q.4) (a) Scratch the function X ㅠ - X (0 < x < π). Is it a periodic function? If so what is the…

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Q: (1) Let I be ideal and a does not exist in I, then I is a subset of (a, I). T O F

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Q: Find Q for the QR factorization of A Ex: 1.23 02 0.given the orthogonal vectors 4 ------ 0.83 1.67…

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Q: …) Find the half-range sine series for the function f(t) = πt - t², in the interval 0<t<π.

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Q: Find the absolute maximum and minimum values of D(x,y)=x²-xy + y² + 1 On the closed triangular plate…

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Q: Given the partitioned matrix A = [ B]. B]₁ C D in which B and C are invertible. Which of the…

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Q: Solve yt-fy +1д= е дн

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Q: A doll sold for $253 in 1975 and was sold again in 1986 for $408. Assume that the growth in the…

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Q: 2 Suppose that T (x, y, z) represents the temperature at the point (x, y, z), measured in ƏT Kelvin.…

A: Introduction:   To make it less hard or difficult; to make it simpler or easier To condense an…

Q: a. Solve the initial value problem (x² - 1)y" + 4xy' + 2y = y(0) = -1, y'(0) = -5, given that 1 1 Yı…

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Q: t, for t > 0, sa X 2 is

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Q: If Z is integers ring, then each non zero element in a proper ideal of Z is......... O (i)…

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Q: Find the angle between the two vectors A = i +j+k and B = 2i+j-k

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Q: dw Evaluate at the given value of t, by using the Chain Rule, dt w = 2ye* - Inz, x = ln(t² + 1), y =…

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Q: Q10. Using Crammer's rule method to solve the following linear system x+y+z=3 2x + 3y + 7z = 0

A: The given system of equation is as follows x+y+z=32x+3y+7z=0x+3y-2z=17 Find Determinant D as follows…

Q: What calculator (things) shows one mathematical pattern? Make a brief explanation. a. bilateral…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: . Use the Ratio Test to determine if the following series converges or diverges. n! Σn=1 (2n+1)!

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Q: Given that f(x)={kx2+2,≤22kx,x>2. If limx→2f(x) exist, then k equals.

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Q: Exercise 2 Using the Laplace transform and showing the details, sovle the IVP 1 if 0<t<1 g" + 3y +…

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Q: Q2\ Evaluate : fot√x dx

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Q: A is an m x p matrix, B is a p x k matrix, and C is a k x n matrix. Show that A or (B or C) = (A or…

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Q: lid obtained by y the curve y = o x=1 will be:

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Q: € N

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Q: Find the local maxima, local minima, and saddle points of the function, f(x,y) = x³ + 3xy + y³

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Q: 1. Consider the following first-order ordinary differential equation 2,2 2x²y cos x dy + (2xy² cos x…

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Q: 8. In Newton-cotes formula, if f(x) is interpolated at equally spaced nodes by a polynomial of…

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Q: Theorem 3. The covariant derivative of the product (outer or inner) of two tensors is equal to the…

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Q: d s: X = (0,1, -1) + λ (1, α, 2α) are coplanar, in which case study its relative position.

A: Consider the given lines. r: X=(1,0,2)+λ (2, 1, 3) And, s:X=(0,1, -1)+λ(1, α, 2α) Let r and s are…

Q: ensor analys

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Q: Solve by the Lapace Transform: y(t) + 4 y(T) (t - 7)dt = 2t [₁ dT

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Q: (8) If F is a field, then it has no proper ideal. От F

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Q: (i) (ii) Show that 8; &k = &k Әхк Әхі Əхі Әхі чо

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Q: show that the following function @f(z)=3z²+57-6 are analytic

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Q: mpounding interest and an APR of 4.5% in sume no additional deposits are made.

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Q: ₂8(x)e³x dr 8(x + x) sin(x)dr

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Q: 2. Determine the area of the region that is simultaneously interior to the curve r = 2 + cos (30), e…

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