Find the fourier series for f(t) which is defined f(t) =t - ¬

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: A Venn diagram is used to illustrate the relationship between sets R, S, and T. The regions of the…

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Q: 9) xdy- ydx = (x² + y ² ) ex dx a) artan. * =* b) arctan X = ţ c) auctan $ d) none of the above etc…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Use the substitution t = tan(x/2) to transform the integrand into a rational function of t and then…

A: Let  I = ∫0π2 5 sin 2x 2 + cos x   dx

Q: The angle between two vectors A = B = -1 0 cos Ө Ө -A 39 (²2) - B 75. 39 -1 = COS - C 5625/ not of…

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Q: Find an equation of the circle that satisfies the given conditions Center (-2, 9); passes through…

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Q: 1 1- Q2: Evaluate f ¹-² y² (x² + y²) dx dy the product

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Q: toivencos 3 Evaluate 1 102 22 (nzy) dv G kabriod if G. At the "solid bounded by is the parabolic…

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Q: Determine the least upper bou You must fully justify your an

A: We have to find least upper bound of the given set

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

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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: P(AB) P(A) 13- P(B/A)= P(A)=0 (a) (c) P(A) #0 on condition that P(A)= (b) (d) P(A)=1

A: We know that P(B/A)=P(A∩B)P(A)

Q: Write the first five terms of the sequence: +∞o {Thn) ( 7 ln n n=1 Determine whether the sequence…

A: Given problem:-

Q: This question is designed to be answered with a calculator. If f is a function defined as f(x) =…

A: In this question, we want to calculate the inflection points of the given function.

Q: If the two vectors are in the following figure, find an area parallelogram A=i+j-k B=2i-2j+2k

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Q: Use the formula @ = t to find the value of the missing variable. 88. = 87. @= 2 radians per sec, 1 =…

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Q: 3x² Find the equation of the curve that passes through the point (0, 2) and has a slope of y at any…

A: Given Slope of the curve     dydx=3x2yand curve passes through the point (0, 2)  ie.  y(0)=2

Q: Find an explicit solution of the given initial-value problem dy y²-1 x² - 1 = y(3) = 3 dx y−1 x-1 y…

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Q: kop (e + bx) = (xph + hp x )ch (s

A: We  have to find the general solution of the given differential equation.

Q: Solve the equation by the method o f homogeneous differential equatio ns y' = ² + tan (2) x In |tan…

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Q: Find the Fourier Transform F(w) = {e-at t≥0 t≤0

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

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Q: Q3/ Determine the particular solution of the equation 4-3=9 given the boundary conditions the dx x =…

A: Given differential equation d2ydx2-3 dydx=9at x=0 , y=0 and  dydx=0

Q: Question: 4 Find the value of "k" such that the function f(x)=x² + kx-6 satisfies the hypothesis of…

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x=xo and then find the nth Taylor…

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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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Q: Find an explicit solution of the given initial-value problem. (1+x¹) dy + x(1 + 4y2) dx = 0, y(1) =…

A: See the answer below

Q: -5e 1 Evaluate the integral: dx. 1 x A. - - 1 5e B. 1+ In 5 C. 0 D.00

A: We have to evaluate to integrate

Q: 27 Y = A tru ® Erro

A: The range of the basic arctanfunction is -π2<arctanx<π2Therefore the range…

Q: Which of the following is a relative maximum of f? 1/5 5/6 A. (²2) ¹ c. - (²²) ³ √3 B. 0 D. 2 Which…

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Q: . Determine the following function U is harmonic or not x U = 3 + y cos sin cos sin

A: This question is related to Functions, we will solve it using given information.

Q: Seatwork I eliminate the antitrany constants of the following. simplify your answers. En close your…

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

Q: B. Use Green's theorem to evaluate f (x²y) dx + y² dy Where C is close path formed y = x and y = x³…

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A: We will use ratio test to determine the absolute convergence of the given series .

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b…

A: Given equilateral triangles congruents to triangle BSR  and OS = a          OT = b

Q: Question 8 of 9

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Q: a/Limit of a function Lim A = 0 B = 1 O 3 €3¾/1 x²+2x-1 X 3+3X² 3

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Q: Use the formula for the binomial series: (1 + x)" = = to obtain the Maclaurin series for (k + 7)! 1…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Let M= 1+ln(x) +y/x  Then dM/dy= 0+0+1/x= 1/x  Now let N= -4+lnx (after transposing to left side)…

Q: 7-The probability that the event P(E) will accur is between a- 0<P(E) <1 b- 0≤P(E) ≤1 C- 0≤P(E) <1…

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Q: 2. A swimmer wishes to swim directly across a river that has a current of 2.5 m/s. He can swim 3.5…

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Q: If you apply the limit comparison test to assess convergence of 00 k³ Σ to which of these…

A: Given

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: fsecxdx = In Isecxt tanx | te

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Q: 3. (a) Use the Binomial Theorem to expand and simplify (3a²-4b)6

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Q: What is the interval of convergence for power series 00 Σ2nx"? n=1 A. [-1,1] B. (-1,1) C. (-∞,∞) D.…

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Q: Determine whether the series converges. 1 Σ- k=1 √11k - 1 The series diverges. The series converges.

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Q: Jse the formula for the binomial series: (1+x)= = = 1 + mx + 1+ Σ m(m-1)-2 ²x² + 2! m(m-1)--(m-k+1)…

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Q: Find the differentiation of tan 4√√x 1-4x

A: This is a problem of differentiation. Based on the general formula and concept we will answer the…

Q: Solve the differential equation. (2x² + 3y²-7)x dx-(3x² + 2y²-8)y dy = 0

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