[-1, 1] aralığı üzerinde f(x) = sin() fonksiyonunu ele alınız. f(x) için æo = −1, x₁ = 0 and æ₂ = 1 (düğüm) noktalarını kullanarak Lagrange interpolasyon polinomunu oluşturunuz. Consider the function f(x) = sin(), x = [-1, 1]. Construct the Lagrange interpolation polynomial which interpolates the function f(x) at x = :-1, x₁ = 0 and x₂ = 1. x 0 - +1 0 - ² + 1 - 222² +1 0-1² + x

Q: An RC circuit with a 100 Q resister and a 10^(-2) F capacitor is driven by a voltage…

A:

Q: Consider the function h(x) = 1/5 x^5 − 1/3 x^3 + 2. a)  Using derivatives, find the interval(s)…

A:

Q: 2. a. f(x) = (x+2)/(x +4). Use the Mean Value Theorem on the interval [0, 4] to find all values of x…

A:

Q: (4-х, XS0 10) Determine if the function y(X) = 3x, is differentiable at x =0. x>0

A:

Q: 3) Show that the function 13-212+2 g(2) = is a Complex differontiable function ait the point 20 =1…

A:

Q: Determine the two-variable function F(x, y) if Fy (x, y) = y sin(xy) + x given that x-² F(x₁ - ²) =…

A:

Q: Question 1 (10 Marks): Calculate of given function f(x,y) = ye**. əx²əy³

A: Definition used -       Partial derivative -             In partial derivative, we differentiate…

Q: differe ntiato a) f(x) =10ge (X)x (3x)3 lincx))

A: Solution -  a.) Given function -  f(x)=log2(x) × (3x)3  We can write it as -…

Q: The derivative of the function f(x) = elan(=) + Ve is

A:

Q: Given a function f(x,y,z) = (x+10) In (5y - 6) sin (5z). Find the domain of the function.

A: To find domain of function

Q: a) Differentiate the function Q(p) = -2√/p³ (e-P-PB). b) Hence or otherwise, determine Q'(1).

A: The given function .The aim is to find the derivative function  and find the value of .

Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

A:

Q: Write the composite function in the form f(g(x)). [Identify the inner function u=g(x) and the outer…

A: The given functions, 1. y=tanx6 2. y=x5+9 3. y=e7x We have to write the functions in composite form…

Q: Exercise 6: Suppose f and g are functions such that: -3 f = 1, i=7, f = 5, -3 Г» g = 6, g = 3, :-4.…

A: Suppose f and g are functions such that

Q: Given z = f(x, y), x= x(u, v), y = y(u, v), with x(2, 6) = 4 and y(2, 6) = 5, calculate zu(2,6) in…

A:

Q: A function f(x) has an inflection point at (1,8). Which of the following could have been the result…

A: A necessary condition for x to be an inflection point is f''(x)=0. A sufficient condition requires…

Q: Let / be a differentiable function that satisfies Then f(x+y)-f(x) = 6 xy + 3y2 for any real numbers…

A:

Q: f(x.y)= arccos( x² + y² - 3)+ In(x² +y° -3) Which of the following is the domain of function (0)…

A:

Q: Let z be a differentiable function of x and y related by the following equation: x + ² =(√y +…

A:

Q: Differentiate the function. (4t + 1)3 (5t – 1)4 F(t) = In F'(t) =

A:

Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, ƒ'(1) = 1, g'(1) = 5. For the following…

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2…

A: Given, Find derivative of y=x4lnx-13x3 with respect to x

Q: Let u(g) and v(g) be the Fourier transforms of u(x) and (2) of the product u(z) v(x)? Select one: O…

A: