Using Newton's method, the approximation of the root x* of f(x) = 2 – x² - cosx accurate to within 10- starting with x, = -1.3 is : Round your answers to 3 decimal digits.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.5: Differentials: Linear Approximation
Problem 14E: Use the differential to approximate each quantity. Then use a calculator to approximate the...
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4:36 O O
U.000
O +961 3 036 764 Hiye bt7ot shi
0.07
0.100
Using Newton's method, the approximation of the root x' of f(x) = 2 – x? – cosx accurate to
within 10-2 starting with x, = -1.3 is :
Round your answers to 3 decimal digits.
-1.326
0.413
-1.728
-0.936
A cubic spline S is defined by:
(So (x) = 3(x – 1) + 2(x – 1)² – (x – 1)3
S(x) =
5,(x) = 4 + 4(x – 2) – (x – 2)² +÷(x – 2)*
if 1 5 x < 2
if 2 <x< 3
S is a natural cubic Spline
II
Transcribed Image Text:4:36 O O U.000 O +961 3 036 764 Hiye bt7ot shi 0.07 0.100 Using Newton's method, the approximation of the root x' of f(x) = 2 – x? – cosx accurate to within 10-2 starting with x, = -1.3 is : Round your answers to 3 decimal digits. -1.326 0.413 -1.728 -0.936 A cubic spline S is defined by: (So (x) = 3(x – 1) + 2(x – 1)² – (x – 1)3 S(x) = 5,(x) = 4 + 4(x – 2) – (x – 2)² +÷(x – 2)* if 1 5 x < 2 if 2 <x< 3 S is a natural cubic Spline II
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