jillmcote jillmcote

13-02-2017
Mathematics

contestada

Suppose that f(x)f(x) is a function with f(155)=52f(155)=52 and f′(155)=4f′(155)=4. Estimate f(160)f(160).

Respuesta :

LammettHash LammettHash

13-02-2017

By the mean value theorem, the linear approximation of a function around [tex]x=a[/tex] is

[tex]L(x)=f(a)+f'(a)(x-a)[/tex]

so the desired approximation can be computed with

[tex]f(160)\approx f(155)+f'(155)(160-155)=72[/tex]

Answer Link

Otras preguntas

Which substance most likely has the highest boiling point?

Find the volume of the cone. Round your answer to the nearest hundredth. A. 129.72 m3 B. 134.04 m3 C. 137.71 m3 D. 143.04 m3

All of the following are common endemic diseases, except __________. A. malaria B. typhoid C. smallpox D. tuberculosis

4) 20% of 65 * (Can someone wander this asap)

1st blank: dry moderate tropical 2nd blank:dry polar tropical URGENT!!!!! PLZ HELP

How does paragraph 7 contribute to the development of ideas in the text?

Please help me it’s really important

Is this a function? (1,1) , (2,2) , (3,5) , (4,10) , (5, 15)

what ethnicity were the Qing in china and how did this impact their leadership?

In Reshaping Earth, it says that human activities, such as mining, can cause changes to Earth’s landscape similar to those made by _____________________ like er