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Can you please help me solve 11 and 26? Thanks so much! :) In Exercises 1 0, use 4. f ( ) = 5. S(
Can you please help me solve 11 and 26? Thanks so much! :)
In Exercises 1 0, use 4. f ( ) = 5. S( x) =Vx76 6. f (x) = tan 7. The cube root of 27 is 3. How much larger is the cube root of 27.21 Estimate using the Linear Approximation. 8. The cube root of 64 is 4. How much smaller is the cube roxx of 63.64 Estimate using the Linear Approximation. In Exercises 9-12, use Eq. (1) to estimate Af. Use a calculator to compute both the error and the percentage error. 9. f (x) = VI+x, a=3, Ax = 0.2 10. f(x) = 2x2 - x, a =5, Ax =-0.4 11 f ( x ) = 1+ x2' a= 3, Ax = 0.5 12. f(x) = In(x2 + 1), a =1, Ax =0.1 In Exercises 13-20, using Linear Approximation, estimate Of for a change in x from x = a to x = b. Use the estimate to approximate f(b). and find the error using a calculator. 13. f(x) = Vx, a=25, b=26 14. f(x) = x1/4, a= 16, b= 16.5 15. f(x) = , a= 100, b= 101 16. f(x) = +, a=100, b=98 17. f(x) = x1/3, a=8, b=9 18. f(x) =tan-1 x, a = 1, b= 1.0 19. f(x) = et, a=0, b=-0.1 20. f(x) = Inx, a=1, b=0.97 In Exercises 21-28, find the linearization at x = a and then use it to approximate f(b). 21. f(x) = x4, a=1, b=0.96 22. f(x) = -, a=2, b=2.02 23. f(x) = sin'x, a = ", b= ll 24. f ( x) = - x - 3' 0 =4, b =4.1 25. f(x) = (1+x)-1/2, a=0, b=0.08 20. f (x) = (1+x)-1/2, a = 3, b= 2.88 27. f ( x) = evx, a= 1, b=0.85 28. f(x) = e* Inx, a = 1, b= 1.02 In Exercises 29-32, estimate Ay using differentials [ Eq. (3)]. 29. y = cosx, a = , dx = 0.014 1/2Step by Step Solution
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