Chrome File Edit View History Bookmarks People Window Help WA 2.9 Linear Approxi
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Chrome File Edit View History Bookmarks People Window Help WA 2.9 Linear Approximations x C www.webassign.net /web/Student/Assignment-Responses/last?dep 12143221 Find the linearization L(x) of the function at a 15 Sin X L (X Need Help? Read It Watch It Chat About It 2. C+0 -2 points TanCalc1 2.9.022. Find the linearization of a suitable function, and then use it to approximate the number. (Round your answer to four decimal places 99.6 linearized function fox) approximation Need Help? Read it Chat About It 3. C+D -/2 points TanCalc1 2.9.024 Find the linearization of a suitable function, and then use it to approximate the number. (Round your answer to four decimal places sin 0.4 linearized function fox) approximation Need Help? Read It watch lt Chat About It (829% Sun 8:26 PM Q. You My Notes Ask Your Teacher My Notes Ask Your TeacherExplanation / Answer
1)Linearization of f(x) at x = a is L(x) = f(a) + f'(a) (x - a)
L(x)=15 sin (pi/4)+15cos(pi/4)(x-pi/4)
L(x)=(15/sqrt(2))(x-pi/4)=10.61(x-.79)
2)f(x)=sqrt(x)
lets take a=100
L(x)=10+1/(2sqrt(100))*(x-100)
L(x)=10+.05x-5=5+.05x
L(99.6)=5+.05*99.6=9.98
Note : L(x) is the linearized function not f(x)
3)f(x)=sinx
lets take a=0
L(x)=sin0+cos0(x-0)
L(x)=x
L(-.4)=-.4
Note : L(x) is the linearized function not f(x)