Let P(x) be the Lagrange interpolating polynomial of f(x) = x³ – 3x + 3 at the points x, = 0; x, = 1 and x, = 4. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: 14 10 15 13

Q: 1. Find the following for the function f(x, y) = 3x³y² - 5x + 26y - 9.

A:

Q: Find the derivative of the following function. y = In(6x² – 7x) – 4x А) 18х? -7х x(6х* - 7) В) 1 - 4…

A:

Q: of and ду of For the function f(x,y) = In (x+ 3y), find

A:

Q: 3. Find the domain of the following functions: a.) f(x) = V1-x Inx b.) f(x) = Vx - 1lr

A: solutionsince the given (3)(c)f(x)=1-xlnx(b) f(x)=x-l ln(x)use have to find the domain of the…

Q: b) Given the following data in table below: f(x) 9.367879 8.233241 7.180350 6.209329 -3.0 -2.8 -2.6…

A:

Q: 3. (b) Consider the function f(x, y) = a(x² + y²) + xy + 1 for some real number a. Find Vf. Find fxx…

A:

Q: Let f(r) = In r Find and simplify f"(x).

A: Please refer the attached image for complete solution. THANK YOU.

Q: 200 ra, is 25a 200 200 Let (1+ x+ x*) = Ïq,x and a = Ea, , then value of

A: We will use basic trics to arrive at the solution

Q: -Find Taylor or Maclaurin for the following functions: 3) 2) f(x) = ex at a = 2 4) f(x) = x³ - 2x +…

A:

Q: a) If y = 3x – 2, x = 3t + 2, and t = 3k – 2, find b) Express y as a function of k ify = 2x + 5, x…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: if z=x+jy, then  check whether the function f(z)=1/1+z2 is an entire function .state the reasons

A: According to the given information, it is required to check whether the given function is entire or…

Q: 11. a. For the function f(x) = (3x+2), let x, =-1, x, =0, x, =1. Construct interpolating polynomial…

A:

Q: z) = (x2 + then (a + E

A:

Q: F(x) F(2) (5) F(7) - L² (t³ + 6 t F(x)= (t³ + 6t-5) dt

A:

Q: Generate eight equally spaced points from the function f (t) = sin?(t) from t = 0 to 2n. Fit this…

A:

Q: e 27 > 3n2 +3n +1 for all n E Z†, n > 8

A:

Q: Find the autocorrelation function for the following functions. -1 2 -1

A: The mathematic expression of the first signal in its period is written as: x1t=tT   for 0<t<T…

Q: Suppose we want to form an interpolant at equally spaced points xo = 0, x1 = h, and x2 = 2h of the…

A:

Q: Find the standard factorization of the entire function f(z) = cosyz

A: Using the Euler's formula as, cosθ+isinθ=eiθcosθ-isinθ=e-iθ Now adding both the equations,…

Q: Let f(x)=√x. By use of the little o notation justify that the linear approximation to f at x0…

A: Given,           f(x) =x

Q: The 7th derivative of f(x) = 3x5 - 12x¹ + 7x³ − 11x² + √5 with respect to a is O 360T O none of the…

A: Topic = Derivative

Q: The minimum polynomial of 5'3 over Q is x 1/3

A:

Q: 4. Find f(x), given: f"(x)=12x² – 18x, f(-1) = 6, f(2) = 3

A: Topic - function and integration

Q: Find real numbers a,b,c,d such that And then find f'(z) =? f(x) = x² + axy + by² +1(cz² + day + y²).

A: