Solve the problem.Use Newton's method to estimate the solutions of the equation . Start with for the right-hand solution and with x0 = -2 for the solution on the left. Then, in each case find x2.

What will be an ideal response?


f(x) = -3x2 - 4x + 1, f'(x) = -6x - 4

Right-hand solution:

 x= 0.5
xn + 1 = xn -  = 
therefore x2 = 0.2500

Left-hand solution:

 x= -2
xn + 1 = xn -  = 
therefore x2 = -1.6250

Mathematics

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Write the algebraic expression described. Simplify if possible.In the race for Student Body President, Jose received 341 more votes than Angela. If Angela received x votes, how many votes did Jose receive?

A. (341 - x) votes B. (x + 341) votes C. (x - 341) votes D. (341x) votes

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Simplify.

A.
B.
C.
D.

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Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute.f(x) =  , -2 ? x < 2

A. local and absolute minimum: 0 at x = -2 and x = 2;  local and absolute maximum: 2 at x = 0 B. local and absolute maximum: 0 at x = -2;  local and absolute minimum: 2 at x = 0 C. no local extrema; no absolute extrema D. local and absolute minimum: 0 at x = -2;  local and absolute maximum: 2 at x = 0

Mathematics

Determine whether the given function is even, odd, or neither.f(x) = x5 - x4

A. Even B. Odd C. Neither

Mathematics