0 1 We know that the integral dx Select an answer 5 40 1 If we make the observation that 1 what does this tell us about 1 -dx? 5 5 40 x6 – 5 v Select an answer It converges. It diverges. This observation tells us nothing. AL

Q: The value of L(e" sinh(3t)) - 3. (-2) + 9 3 (8+2)ª + 9 3 (812) 9 O None of the choices 3 (-2) 9

A: The following Laplace formula are used in solving the given equation. Leat sinhbt=bs-a2-b2

Q: dx Determine x = f(t) for (t2 + 4t) = 4x + 4, t> 0; f(1) = 4. dt

A:

Q: 3 (In x) Evaluate 8x dx. 25

A:

Q: Find the Fourier series representation of f(x) = x x € [-n, n] Apply Parseval's formula on the given…

A:

Q: ed 1+ 2! Bn(0). (2.59) 3! n=0 Comparison of the powers of A gives lo(0) = 1, B1 (0) = -12, B2(0) = ,…

A: Given λeλ-1=1+λ2!+λ23!+...-1=∑n=0∞λnn!Bn(0) if we take L.H.S.…

Q: Problem 21 to evaluate the following integrals. sin 2z dz (62-)³ where C is the circle |z| = 3.

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 23,31

A:

Q: Solve the equation f(x) = -x + sin use Newton Raphson Method, Xo= 0.

A: As per the policy of bartleby the provisions is to solve only one question at a time now I am…

Q: Prove that if f C¹([a, b]), then Vaf = falf'(x) dx. [You may assume f, f'(x) dx. ] that f(x)-f(x-1)=

A: We prove f is in bounded variation

Q: Solve the D. E. to the I. V. P. sinx(e + 1)x' – cosx = 1, y(0) = 0 COSX O In (1 + cos x) = 1 + e (1…

A:

Q: Determine if = 5₁° f(x) dx is convergent or divergent when G 1 x² and find its value if convergent.…

A:

Q: Let (fn) be a sequence of real valued functions defined by cos(x) fn(2) = n By definition, show that…

A: Given  fn(x)=cos (x)n

Q: What steps transformy = x to y = - (x+2) + 4? Select all that apply. %3D %3D O Stretch by a factor…

A: Given a function, y=x2. The graph of the function is obtained by the table below. x 0 -1 1 -2 2…

Q: If f is the Fourier series of g(x) J 3, x < then %3D | 16 – a², 0<x < 4 NT f(æ) = + x) + sin 4 What…

A:

Q: Solve the initial value problem for x as a function of t.. dx 2- 19t + 90) = 1 for (t> 10), x(11) =…

A: Given: Initial value problem (t2-19t+90)dxdt=1 for (t&gt;10), x(11)=0 Solving given IVP by a…

Q: Combine the integrals into one integral, then evaluate the integral. 5 la-sa-fa-sa (7x-2) dx +6J (x…

A:

Q: for fallowry f(4)= e'cos(-1) or menina finod maxina funchins

A:

Q: f indd Pm in tev ms of @m-l and @gtl n+l -ax dx m,n-1 dx I. Cm, m-l= Hint: Recursive Method Matrid…

A:

Q: Consider the function f(x) = 2 + 4x for 0≤x≤7. It has a Fourier cosine series expansion f(x) = ao +…

A: Given function:         for It has a Fourier cosine series exapansion We have to find the value of…

Q: IV. Determine if the given is convergent or divergent. sin(2 tan-1n – TI) Σ (2 tan-1n – Tt) #3. n=1

A: Given : The given series is ;  ∑n=1∞un = ∑n=1∞sin2tan-1n - π2tan-1n - π To find : To check whether…

Q: 1 8. When we say that (Inx) = , we really mean to con- dx 1 on the restricted domain (0, 0). sider…

A: Given the function ln(x) Now for the derivative : ddx(ln x)=1x Here we take the function 1x on the…

Q: Find the average velocity during each time period. s = s(t) = 3 sin(tt)+ 2 cos(Tt). (i) On the…

A:

Q: In order to determine if the improper integral -dx converges, we might compare it to the power 7 x2…

A: Explanation of the answer is as follows

Q: J 1. Fin Find 2x³ (6 + x) dx TU

A:

Q: 1.2.16 In Example 1.2.19, we came up with a formula for the half derivatives D/2 (sin(x)) and…

A: We have to derive the general form of Drsin(x) and Drcos(x) Since we know that Dαecx=cαecx     (1)…

Q: Use a comparison ·∞ 2x+3 (ª) ſº - (b) test to determine whether or not the integral converges: dx…

A: Comparision Theorem :       Suppose that f and g are continuous functions with fx ≥ gx ≥ 0 for x ≥…

Q: Let n e N. You are going to prove that 1.3-5.. (2n – 1) = 27 2 -4 ·6 . .· (2n) 27 In := | cos2" 0 d0…

A:

Q: Suppose a company finds that the revenue R generated by spending x dollars on ac dR R= 1200 +…

A: We have to find derivative

Q: 9. Solve the following equation. sec x - 2 -0 A) 元 x -+ 2n and x- 2n7, where n is an integer 6 B) x…

A: Given: sec x-2=0