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73-75 Use the reduction formulas in Exercise 72 to evaluate the
Let f be a function whose second derivation is continuous on
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- Prove that the function n = x(x^2 - 3y ^2)+(x^2 - y^2) + 2xy is harmonic. Also find the conjugate harmonic function v and the corresponding analytic function (u + iv).arrow_forwardFind all the analytic functions for ReZ=Im f(z)arrow_forwardDifferentiate. Find f'(t) for f(x) O 17 (2x-7)² O (2x-7)2 O 17 (3x - 2)2 (3x - 2) wwwww. 3x-21arrow_forward
- Let f(x) = (3x + 7)(3x2 + 2)8. Compute f'(x).arrow_forward3. Let f (x) = (3x2 + 1)?. Find f'(x)in 3 different ways by following the instructions below in parts a, b and c: a) Algebraically multiply out the expression for f (x) and expand, then take the derivative. b) View f (x) as (3x? +1)(3x2 + 1) and use the product rule to find f' (x). C) Apply the chain rule directly to the expression f (x) = (3x² + 1)?. d) Are your answers in parts a, b, c the same? Why or why not?arrow_forwardLet f(x) 7x2 + 5x 8 Evaluate f'(x) at a f'(1)) =| 1.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage