Find Fourier Series of the Function: -K f(x) = {-k -π

Q: 15 10 -L₂¹⁰ ƒ (² f(x)dx - where a = f(x)dx = Sª ƒ(2)dx and b

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Q: a b c] Find a, b, c, d, e, f, and g, so the matrix A = d e f 1 g rows and columns of A are…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. x…

A: Let's solve homogeneous diffrential equation.

Q: Find the area of the region enclosed by the curves 4x² + y = 4 and x - y = 1.

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Q: 4x 3 1) cos-- 3) cos- T 4 adton 2) sin 4) sin 5n 3 11 6

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: What happens to the period as the orbital radius increases?

A: Given : Tell us about the relation between orbital radius and periods?

Q: At the beginning of an experiment a scientist has 372 grams of radioactive goo. After 165 minutes,…

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Q: Z₁=2i8+2i9 22=14-3115 find 21 Z₂

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Q: a. Use the definition mtan f(a+h)-f(a) h h-0 b. Determine an equation of the tangent line at P.…

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where m is the…

Q: Evaluate the integral. sin dx Se √1-x² 2

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Q: In this problem, x = C₁ cost + C₂ sint is a two-parameter family of solutions of the second-order DE…

A: Just use the initial conditions into given solution and solved for c1 ,c2 , then using it gives the…

Q: Solve the differential equation. dy 3x²y² dx

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Q: Determine if the sequence converges or diverges. If it converges, state the limit. an nsin = in 1.²1…

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Q: Find an explicit solution of the given initial-value problem. dx = dt = 2(x² +1), x(77) = 1 11 X

A: Given :dxdt=2x2+1xπ4=1

Q: solve using laplace transform 69= y" + y = f(t) where: (0)=0 y 1 1 0, 0≤t≤介 f(t) ] 1. π 2π y'(0)=1

A: Let's solve diffrential equation by using laplace transform.

Q: Fill in the following blanks: (Choose Six only) 1) An example of a nonlinear third-order…

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

Q: ind the general term of the sequence, starting with n = 1. etermine whether the sequence converges,…

A: Follow next step

Q: Q4/A: Find Fourier Series of the Function: f(x) = {- K (-K -<x<0 к 0 < x < n B: Solve the following…

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Q: For which of the following is the Ratio Test inconclusive? 1 Α.Σ B. C. IM8 IM8 IM8 IM8 -ม 2" 1 n2" 1…

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Q: Find the exact length of the curve. 36y² = (x²-4)³, 5≤x≤9, y 20

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Q: Find the scalar equation of the plane that contains these points: A (1, 13, 2), B (-2, -6, 5) and C…

A: In this question, we want to find the scalar equation of a plane Passing through given three points.

Q: B: Find: 1- √ √Ze-²³ dz

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Q: If y=f(8x²) and f'(8)= -3, find dy dx |x=1

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Q: Find the differentiation and provide complete solution a. y= cos3x2 b. f(t)=sin34t

A: a) y=cos3x2 On differentiation: dydx=-sin3x2×3×2xdydx=-sin3x2×6xdydx=-6xsin3x2

Q: Find all the values of X if any for the tension line to the graph for the function is horizontal Y=…

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Q: What is the interval of convergence for power series & n³ (x+1)”. -? 3" n=1 A.(-3,3) 4 2 B. —— 3…

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Q: Determine if the sequence converges or diverges. If it converges, state the limit. = sin (17), n = ₁…

A: We know that 1n→0. We further know that sine is a continuous function. So,…

Q: f(x)= sinx/cos x+1

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Q: Find the value of the following derivation y = x ln x sin x

A: use the product rule for finding the derivative.

Q: Use the washer method to find the volume of the solid generated when the region bounded by y = √x, y…

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Q: Ceq = 25.35nf Се

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Q: Solve the given initial-value problem. dx y - X= = 5y², x(8) = 1 dy x(y) = Give the largest interval…

A: Given that,   ydxdy-x=5y2, x(8)=1

Q: Determine whether the statement is true or false. 5 x | xEN and x is odd} Is the statement true or…

A: Ν is set of natural numbers.

Q: whether the internal is convergent on Determine divergent Evaluate it convergent. 1 dx 3-SX

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Q: Find indicated Partial derivatives u= √√√√² +5² 2 S r = y + x cost, S = x + y sint d² u dxy

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Q: Identify all extrema of the function f(x,y) = x³+y³-3x-12y+20 on the plane and characterize them.

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Q: If 2x2-3y2=5xy, then find dy/dx | x,y=(2,-4)

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Q: Integr S√₂-cod -1 ation fuctions. 1-cos²x) dx Not of the above B 1 O

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Q: pop. The results of the survey are illustrated in the partially completed Venn diagram below U A P…

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Q: Perform the operation and write the result in standard form. (5 + √61)(5-√61)

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Q: tan y-secr=5 find...y'

A: Follow next step

Q: For a certain mammal, researchers have determined that the mesiodistal crown length of deciduous…

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Q: 8. What rule should be used in deriving f(x)=x5? A. Constant rule B. Sum rule 9. Find dy/dx y=e³x A.…

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Q: Businesses can buy multiple licenses for a data-compression software at a total cost of…

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Q: Write the first five terms of the sequence: {√n² + 7n-n}1 Determine whether the sequence converges,…

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Q: Solve the equation x^3−2x^2−x −6 = 0 given that x = 3 is a solution.

A: The given equation x3-2x2-x-6=0

Q: B: Solve the following differential equation by Laplace: +24+ 5y = e-t sint .y(0) = 0, (0) = 1

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Q: Find the limit if it exist if it does not exist right DNE limit X to zeros in 2x/4x

A: This question can be solved using the concept of limits.

Q: 7 Show that: sech x dx = Sin¹ (tankx) + ( S note: * & Sim'u = dx 1-U² dx Cam multiply sechx by * you…

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Q: Write the first five terms of the sequence: +∞ {√n² + 10n - n } n =1 Determine whether the sequence…

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