Given a piecewise function T sin t, 0π 1. Express f(t) in the form of unit step function. 2. Hence find L{f(t)}. A- B I Maximum file size: 50OMB, mc Files eto search !!

Q: Find a if f(0) = 1, f(;) = }, f(1) = 2 and f(}) = f(}) = a give o f(x)dx = using the composite…

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

Q: Supose z is implicitly dofimed by the equation qy+ 3x + XyZ + 32=9 in an onvanment of the point…

A:

Q: Consider the one-form y4 W = dæ + (4 ln(10x)y³ + 13y) dy on {(x, y) E R² | x > 0}. If the one-form…

A: Given: The one-form…

Q: 1. find the linear approximation to /(x) at x = Xg. Use the linear approximation to estimate the…

A: Linear approximation

Q: The function f defined by the rule f(z, y) = In(xy) increases fastest in the direction of T. F (1,…

A:

Q: Match the graphs A, B, and C shown with the functions ƒ(x), ƒ'(x), and integral

A: Given : The graphs of f(x) , f '(x) and Anti derivative of f(x)

Q: Consider the function 2+2+z9-2ry+y if (r,y) # (0,0) f(1, y) = if (1, y) = (0,0). (a). Find and at…

A:

Q: The function g(t) = \t| is differentiable at 0. True False

A: Given that g(t)=|t|We can write it as:g(t)=t   , t≥0-t , t<0

Q: Suppose that f(0) = 1, f(0.5) = 2.5, f(1) = 2, and f(0.25) = f(0.75) = a. Using trapezoidal rule…

A:

Q: Assuming - 6x° -y² + 7xy = 0 defines y as a differentiable function of x, use the theorem Fx to find…

A:

Q: 1 at 6+x Find the local linear approximation of f(x) xo = 1, where Ax = x – 1. - NOTE: Enter the…

A:

Q: Use Euler’s method with n = 2 on the interval 2 ≤ t ≤ 3 to approximate the solution f(t) to y′ = t -…

A: Given, y'=t-2y y(2)=3

Q: Find the linearization L(x, y) of the function f(x, y) at P0 Then find an upper bound for the…

A: We need to determine the linearization of the function: f(x, y)=xy2+ycosx-1 at P01, 2 over R:…

Q: Find the linear approximation L(x) to y = f(x) near x = a for the function.  F(x) = (1 / x) , a = 2

A:

Q: 4. a) Find an approximation for f (x, y) = at the point (1.97,1.02). V10-r-5y b) Check Euler's…

A: (a) Approximate f(x,y)=410-x2-5y2 at the point (1.97,1.02) (b) Check Euler Theorem for…

Q: Find the linear approximation L (x) to ƒ (x) = xcosx at a = T.

A: Given that, f(x) = x cosx and we have to find linear approximation L(x) at a = π

Q: Find the linearization L(x,y) of the function f(x,y) = x - 5xy + 2 at Po(5,2). Then find an upper…

A:

Q: Consider the function f(x) = sin(xª(1 – x)') with a, b > 0. We know that: %3D f is differentiable at…

A:

Q: b) If y(t) is the solution satisfying the initial condition y(0) 1, find the value of lim y(t).

A:

Q: For function f(x,y) to have maximum value at (a,B) IS 1) rt – s>0 and r0 and r>0 3) rt – s?0 and r>0

A: for function f(x,y) to have maximum value at (a,b) is rt-s2>0,r<0

Q: of For the function f(x.y) = In (x + 6y), find- of and dy

A: It is partial derivative so when we differentiate with respect to one variable consider other…

Q: 8. Find the value of a if F = (axy-z)i+(x+2 yz) j+(y - axz)k is irrotational. %3D

A:

Q: Consider the function 23 – 3y if (x, y) # (0,0), f (x, y) = x² + y? if (x, y) = (0,0). Show that…

A:

Q: Find the linear approximation to the equation f(x, y) = 4 ln(x¹ −y) at the point (3,80,0), and use…

A: Linear approximation

Q: Find the linearization of the function f (x) = x° 26 at æ = 1. a vā |a| sin (a) L (x) = Using this…

A: I am going to solve the given problem by using some calculus to get the required result.

Q: 2n dw at t= dt dw For the functions w = 3x - y, x cos t, and y = sin t, express as a function of t,…

A: Given,

Q: If we use trapezoidal rule for a function f(x) = x +2 1 - , then the approximate of J f(x)dx is…

A:

Q: Given the function f(x,y)=e5-2x+3y, approximate f(4.1,0.9)using point (4,1) for (xo, yo). What is…

A: The linear approximation of f(x, y) at (a, b) is the linear function  L(x, y)=f(a, b)+fx(a,…

Q: Assuming that the following equations define z an implicit function of x, y and, z = f(x, y), for æ°…

A:

Q: HW.8. Use farseval's theorem to find if f(t)=A e-alti Ans: A?

A:

Q: Q10. Expand f (x, y) = e" cosx about up to third degree terms by using Taylor's theorem for a…

A: The given problem is to find the third degree taylor polynomial of given function f(x,y) about point…

Q: The function f(z) = 1 has a poles at z = %3| ez – 1

A:

Q: The graph of a differentiable function f on the ir [2,10] is shown. Find the trapezoidal approximat…

A:

Q: (3) (a) Find the local linear approximation of f(x) = /1+x at xo = 0. Use your approxima- tion…

A:

Q: Along the straight line x + y = 1, the function f(x,y) = xy has a local extremum at the point (0,0)…

A:

Q: 3.2 Let f(x) = Approximate the integral x4 x L f(x) dx using the Trapezoidal rule with n = 4. -2

A:

Q: The orthogonal trajectories of r = 5a sin 0 is , where a is an arbitrary constant p = c cos 0 r=…

A:

Q: Let = f(x,y) = x² -y. Use Euler's method ( with step size h = 1) to approximate the value of y(2) if…

A: The Euler method is a first-order numerical procedure for solving ordinary differential equations…

Q: 24.) Given the function f(x)=x²– 2x Estimate J f(x) dx using four subintervals by . finding R4, L4…

A:

Q: Suppose that f(0) = 1, ƒ(0.5) = 2.5, f(1) = 2, and f(0.25) = f (0.75) = a. Using trapezoidal rule…

A:

Q: xY 2. (a) Prove that the function f(x, y) is differentiable everywhere in its do- %3D x2 + y? main.

A: Solution is given below:

Q: Show that the p.d.f. of Z is given by g1(r) = e-1(+A)cosh(vAx), x > 0, where cosh(2) = }(e² +e=*) is…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: Consider the function f defined on [0, 1] such that / (0) = f(1) = 1.f(1/5) = {(3/5) - 2, and /(2/5)…

A:

Q: Find the linear approximation L(x) to y = f(x) near x = a for the function. f(x) = sin(x), a = 2…

A:

Q: ). In Chemistry, the Lennard-Jones potential, 12 R V (r) = - 2 r> 0, is a simple function used to…

A:

Q: Every cubic function (i.e. function of the form f(x) = ax³+bx²+cx+d with a, b, c and d constants,…

A:

Q: 1. (a) Find when t = 0, if e“ cos t = (x + 1)t + 1. dt2 (Ъ) Suppose f is a differentiable function…

A: We hav to find the following conditions and we have to show the given condition

Q: fO Ja (a) The output power of a system can be represented by a continuous function f(t) over the…

A: q-1 (a) the output power of a system can be represented by a continuous function ft over the…