find the fourier series for the half-Periof sine of the function fxj = sinx inthe period x Then find the amount

Q: Suppose a study revealed 46% of all subjects possessed trait A, 16% possessed both trait A and trait…

A: Solution

Q: Find the equilibrium state of the dynamical system Xn+1 = 0.4xn+0.4yn, Yn+1 = 0.6xn +0.6yn- By…

A:

Q: True or False. Justify. dz → 0 as R → ∞. 2z3 + 4 ||zl=R

A:

Q: 2. (a) Define a Dirichlet function. (b)Assume that f(x) is a function of the form -х-1; when -T <…

A: Here given function as fx=-x-1when -π&lt;x≤0xwhen  0≤x≤&lt;π

Q: Show that 1.3.5... (2 n – 1) (i) P2n (0) = (– 1)" (ii) P2n+1 (0) = 0. 2.4.6 ... 2 n

A:

Q: Question 2 then the value of "fx) =L 3+1 O 1 O None of the other choices O 2 O V3

A:

Q: 4s+4 Find the inverse transform: F(s) %3D s2 (s-2)

A:

Q: 1. Let A be a square matrix. Assume that the following statement is true: If B is an invertible…

A: For the solution of the problem follow the next steps.

Q: Continuity 4. Let f(r,y) be a function defined on a disk D mot containing the origin which is given…

A: Since question 5 is independent of the question 4. AS, per the guidelines, I am answering the first…

Q: Jace is trying to determine how to invest $1,234.56 that he inherited from his crazy cousin Elijah.…

A:

Q: s+2 6) f(1)=e" cos(t) Ans. F(s)= (s+2)° +1 A(s+a)+ Bß 7) f(1)=e""(Acos(ßt)+ B sin(Bt)) Ans. F(s)=…

A:

Q: Simpson's rule to calculate approximately the

A: simpson's rule,

Q: Using (a) Jacobi Iterative Method and (b) Gauss-Seidel Method, obtain the solution [12x +3x, – 5x,…

A:

Q: Additional Activity: Fill in the answer on the space provided. Given: if 27= 120°; 43= 30°; 24= 30°…

A:

Q: po The given set of functions: fi(z) = 2z, f2(z) = z ² and f3(2) = xª is linearly dependent on the…

A: As per our guidelines we are supposed to answer only one question that is the first question. For…

Q: Σ (n+2)! n=0

A: Given series is ∑n=0∞ xn+1(n+2)!

Q: A sales director who lives in city A is required to fly to regional offices in cities B, C, D, and…

A:

Q: 19. Given differential equation, which of the following is true. a) y, and yz are fundamental set of…

A:

Q: Prove that J3 (x) dx + J2 (x)+J, (x) = 0

A:

Q: hat instead of having a box with square ends, you have a box with square sides so that its…

A: Introduction: The volume of the cuboid with length l, width b and height h is given by, V=lbh

Q: Let C be the positively oriented square with vertices 0, 1, 1 + i, i. Evaluate using the definition…

A:

Q: Rewrite the following equation as a second-order linear differential equation, and find the general…

A:

Q: Find the gradient of the function at the given point. Function Point f(x, у, 2) + y2 + z2 (3, 7, 2)…

A:

Q: () fo lve the IVe X = (, :)x, xc)= x(0) =

A:

Q: 7. solution for the differential equation ( 2xy- sin x ) dx + (x? - cos y) dy = 0 a) x'y + cos x-…

A:

Q: 3. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers be x,y According to question = x*y =100                     y = 100/x  Sum of…

Q: 17. For the wronskian which of the following true a) the solution is valid for all values of t b)…

A:

Q: Estimate f(−1.99,−1.03) given that f(−2,−1)=−3, fx(−2,−1)=4, and fy(−2,−1)=1.

A: The given problem is to estimate the value of f(-1.99,-1.03) from the given functional values. Given…

Q: 1 , Evaluate (i) L-1 (s2 + 1) (s + 9)

A:

Q: Find the Laurent series expansion of each of the following functions in the indicated annulus. (a)…

A: (a) fz=z4sin1z where 0&lt;z&lt;∞ It is known that sin z=z-z33!+z55!-.... Then…

Q: Find the gemeral solution 9 the given Gystem 1 (4) li dx at 을x + 2y dy dt (^) x'= (;" ) × 10 () x'-…

A: Since the eigen values of the associated matrices are real and distinct so the solution is given by:…

Q: Find the Fourier series representing f (x) = x, 0<x<2n and sketch its graph from x = - 4 t to x 4 T.

A: fourier series

Q: Let K be a finite extension of Q. Show that K contains only finitely many roots of unity.

A:

Q: Express f(x) 4 + 6 x² + Z x + 2 in terms of Legendre Polynomials.

A:

Q: How many nonnegative integer solutions are there to the equation Xị + x2 + x3 + x4 + x5 = 40 if we…

A:

Q: Expand the function f(2)=: in a Taylor series 1+z 1 centered at the point z, = -í

A:

Q: 1. The solution to the differential equation is (2 +t) dy + 3t'y= 5 dt 5t2c 2+13 St+c a) c) St d) b)…

A:

Q: Rewrite 3 sin(x) +1 cos(x) as A sin(x + 4) A =

A: The trigonometric addition formula is sina+b=sinacosb+cosasinb. The given condition states that…

Q: Find the Laplace Transform of the following functions 1) f(t)=tcos(@t) 2) f(t)=t sin(@t) 3) f(t)=t…

A:

Q: For the surface given by z = f(x, y) = x* – 6x² + 3y² – y' which of the following is true. Select…

A: Given function is z=f(x,y)=x4-6x2+3y2-y3 Now condition for convex\concave   convex strictly…

Q: 3. Let n EN with n 22 and a ER. Consider the figure (a) Show that fis linear. (b) Give the…

A:

Q: Find the solution. ху+ ху %3D1- у. у(1) - 0 A y = x-'(1 – e'-x) B 2y = x³(1 + e'-2*) 9 y = x-2(1 +…

A:

Q: find the fouritr series fir the helf-Period Sine of the Fanction fex)=sin x in the feriod O<X<T Th…

A:

Q: 1. For the following quadratic forms (i) write down the symmetric matrix A (so the form is equal to…

A:

Q: 1. Find one real root of h (x) = 3x² – 2æ3 on the interval from -1.5 to 2. = 0.5 with an error less…

A: It is given that hx =3x2 -2x3 =0.5⇒hx =3x2 -2x3 - 0.5 initial point:- x0=-1.5, x1=2 Error &lt; 5%

Q: 4. Let F(n) = 2F(n – 1) + 5F(n – 2) – 6F(n – 3) with initial conditions F(0) = 4, F(1) = -4 and F(2)…

A:

Q: Exercise 4: Solve the heat equation on the square [0, 7] × [0, 7] subject to the following bound-…

A: We have to solve the heat equation                      ∂u∂t=∂2u∂x2+∂2u∂y2                   -------…

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

A:

Q: se a study revealed 5*

A: Given, a study revealed 57% of all subjects possessed trait A, 28% possessed trait B, and…

Q: Lensidr the Leyendre's citterentral equation n-constant -x²) y" - 2xy t nents) y=O Any soluhion tuis…

A: We have to express in series given differential equations.