Approximate f' (1) using the given data f(0) = 1, f(1) = 14, f(2)= 15, and f(4) = 5 and the Lagrange interpolation polynomial. O 14 O-1 O-2 6 O 17

Q: X p(x) (a) Compute E(X), E(X2), and V(X). E(X)= 18 E(X2)= 327.2 ✓ ft³ V(X)= 3.2 18 16 20 0.4 0.2 0.4…

A: The provided equation is: h(x)=X-0.009X2 From previous parts, it is known that E(X)=18E(X2)=327.2

Q: Let n be a positive integer. Define the function fn (2) by d fn (2) = n(2² + Find the value of f(-1…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: Let t(x) = 2x - 1 and m(x) = x² - X. Find m(t(x)) Be sure to simplify your answer. Use the fx button…

A: Given, t(x) = 2x-1, and m(x) = x2-x m(t(x)) = m(2x-1)

Q: E Consider the function f(x) = [1,1]. Construct the interpolation polynomial which interpolates the…

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Q: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: Compute the following values for the given function. f(x, y) = 4x2 + 2xy – 7x + 4 f(1, 2) %3D f(2,…

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Q: Q.2 Find whether the following signal is odd function? f(x) = 5x³ 6(x4-4) even or

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Q: )/98)=x(x+4)(x-1) X F(x) -ら |-3 -2 X-int: y-int -1 2.

A: Here is the solution