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(b) A right-angled triangle has sides of length 3 and æ, and a hypotenuse of length e. Given that (2 = 9 + x², use the linear approximation formula from calculus to show that the percentage change in l is a (1 -). 100AL if æ increases by 4%.

(b) A right-angled triangle has sides of length 3 and æ, and a hypotenuse of length e. Given that (2 = 9 + x², use the linear approximation formula from calculus to show that the percentage change in l is a (1 -). 100AL if æ increases by 4%.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please send handwrittens Solution for Q7 part b

7. (a) Use Newton's method ONCE with an initial guess of ro = 0.1 to find an approxi- mation to the solution of the equation tan 4x. 8 x = (Newton's method for solving f(x) = 0: xn+1 = Xn f(xn) for n = 0, 1, 2, ...) f'(rn) Answer: (b) A right-angled triangle has sides of length 3 and æ, and a hypotenuse of length l. Given that = 9 + x², use the linear approximation formula from calculus to show that the percentage change in l is 100Δ (1-2). if x increases by 4%.
Transcribed Image Text:7. (a) Use Newton's method ONCE with an initial guess of ro = 0.1 to find an approxi- mation to the solution of the equation tan 4x. 8 x = (Newton's method for solving f(x) = 0: xn+1 = Xn f(xn) for n = 0, 1, 2, ...) f'(rn) Answer: (b) A right-angled triangle has sides of length 3 and æ, and a hypotenuse of length l. Given that = 9 + x², use the linear approximation formula from calculus to show that the percentage change in l is 100Δ (1-2). if x increases by 4%.
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