Provide an appropriate response.Show that if h > 0, applying Newton's method to f(x) = 
leads to x2 = h if x0 = h and to x2 = -h if x0 = -h when 0 < 8 < h.
What will be an ideal response?
f(x) = 
f '(x) = 
Let x0 = h. Then,
x1 = h - 
= h - 2(h - 8) = 16 - h
x2 = 16 - h + 
= 16 - h + 2(h - 8) = h
Likewise, let x0 = - h. Then,
x1 = - h + 
= - h + 2(8 + h) = 16 + h
x2 = 16 + h - 
= 16 + h - 2(h + 8) = - h
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Identify the function's local and absolute extreme values, if any, saying where they occur.f(x) = -x3+ 1.5x2 + 6x - 2
A. local maximum at x = 1; local minimum at x = -2 B. local maximum at x = -2; local minimum at x = 1 C. local maximum at x = 2; local minimum at x = -1 D. local maximum at x = -1; local minimum at x = 2
Use identities to simplify the expression.
A. - cot2 x cos x
B. cot4 x
C. -cot2 x
D. 
Perform the indicated operation.7 gal 5 fl oz × 2
A. 22 gal 2 fl oz B. 15 gal 2 fl oz C. 14 gal 1 pt 2 fl oz D. 14 gal 1 c 2 fl oz
Simplify the expression. Write your answer without negative exponents. Whenever an exponent is negative or zero, assume that the base is not zero.
4
A. 
B. 
C. 
D. 