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Advanced Mathematical Methods for Scientists and Engineers Episode 1 Part 2

Tham khảo tài liệu 'advanced mathematical methods for scientists and engineers episode 1 part 2', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 2 2 Figure 1.11 Plots of f x p x q x . 1.6 Hints Hint 1.1 area constant X diameter2. Hint 1.2 A pair x y is a solution of the equation if it make the equation an identity. Hint 1.3 The domain is the subset of R on which the function is defined. Hint 1.4 Find the slope and x-intercept of the line. Hint 1.5 The inverse of the function is the reflection of the function across the line y x. Hint 1.6 The formula for geometric growth decay is x t xor where r is the rate. 14 Hint 1.7 Note that p x and q x appear as a ratio they are determined only up to a multiplicative constant. We may take the leading coefficient of q x to be unity. p x ax2 bx c x q x x2 Px X Use the properties of the function to solve for the unknown parameters. Hint 1.8 Write the polynomial in factored form. .