New ton’s method seeks to approximate a solution f(x) = 0 that starts with an initial approximation x 0 and successively defines a sequence z n + 1 = x n − f ( x n ) f ' ( x n ) . For the given choice of f and x 0 . write out the formula for x n + 1 . If the sequence appeals to converge, give an exact formula for the solution x. then identify the limit x accurate to four decimal places and the smallest ii such that x n agrees with x up to four decimal places. 61. [ T ] A student takes out a college loan of $10000 at an annual percentage rate of 6%. compounded monthly. a. If the student makes payments of $100 per month, how much does the student owe after 1 2 months? b. After how many months will the loan be paid off?
New ton’s method seeks to approximate a solution f(x) = 0 that starts with an initial approximation x 0 and successively defines a sequence z n + 1 = x n − f ( x n ) f ' ( x n ) . For the given choice of f and x 0 . write out the formula for x n + 1 . If the sequence appeals to converge, give an exact formula for the solution x. then identify the limit x accurate to four decimal places and the smallest ii such that x n agrees with x up to four decimal places. 61. [ T ] A student takes out a college loan of $10000 at an annual percentage rate of 6%. compounded monthly. a. If the student makes payments of $100 per month, how much does the student owe after 1 2 months? b. After how many months will the loan be paid off?
New ton’s method seeks to approximate a solution f(x) = 0 that starts with an initial approximation x0and successively defines a sequence
z
n
+
1
=
x
n
−
f
(
x
n
)
f
'
(
x
n
)
. For the given choice of f and x0. write out the formula for
x
n
+
1
. If the sequence appeals to converge, give an exact formula for the solution x. then identify the limit x accurate to four decimal places and the smallest ii such that xnagrees with x up to four decimal places.
61. [T] A student takes out a college loan of $10000 at an annual percentage rate of 6%. compounded monthly.
a. If the student makes payments of $100 per month, how much does the student owe after 1 2 months?
b. After how many months will the loan be paid off?
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
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