FINITE MATH.F/BUS,ECON,LIFE..-ACCESS
14th Edition
ISBN: 9780134984209
Author: Barnett
Publisher: PEARSON
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Textbook Question
Chapter DPT, Problem 19E
In Problems 17-24, simplify and write answers using positive exponents only. All variables represent positive real numbers.
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Prove that
Σ
prime p≤x
p=3 (mod 10)
1
Р
=
for some constant A.
log log x + A+O
1
log x
,
Let
Σ 1 and g(x) = Σ logp.
f(x) =
prime p≤x
p=3 (mod 10)
prime p≤x
p=3 (mod 10)
g(x) = f(x) logx -
Ր
_☑
t¯¹ƒ(t) dt.
Assuming that f(x) ~ 1½π(x), prove that g(x) ~ 1x.
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(You may assume the Prime Number Theorem: 7(x) ~ x/log x.)
*
Let
Σ logp.
f(x) = Σ 1 and g(x) = Σ
prime p≤x
p=3 (mod 10)
(i) Find ƒ(40) and g(40).
prime p≤x
p=3 (mod 10)
(ii) Prove that g(x) = f(x) logx – [*t^¹ƒ(t) dt.
2
Chapter DPT Solutions
FINITE MATH.F/BUS,ECON,LIFE..-ACCESS
Ch. DPT - Replace each question mark with an appropriate...Ch. DPT - Problems 2-6 refer to the following polynomials:...Ch. DPT - Problems 2-6 refer to the following polynomials:...Ch. DPT - Problems 2-6 refer to the following polynomials:...Ch. DPT - Problems 2-6 refer to the following polynomials:...Ch. DPT - Problems 2-6 refer to the following polynomials:...Ch. DPT - In Problems 7 and 8, perform the indicated...Ch. DPT - In Problems 7 and 8, perform the indicated...Ch. DPT - In Problems 9 and 10, factor completely. x2+7x+10Ch. DPT - In Problems 9 and 10, factor completely. x32x215x
Ch. DPT - Write 0.35 as a fraction reduced to lowest terms.Ch. DPT - Write 78 in decimal form.Ch. DPT - Write in scientific notation:...Ch. DPT - Write in standard decimal form: A2.55108B4.06104Ch. DPT - Indicate true (T) or false (F): (A) A natural...Ch. DPT - Give an example of an integer that is not a...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 17-24, simplify and write answers...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - In Problems 25-30, perform the indicated operation...Ch. DPT - Each statement illustrates the use of one of the...Ch. DPT - Prob. 32ECh. DPT - Multiplying a number x by 4 gives the same result...Ch. DPT - Find the slope of the line that contains the...Ch. DPT - Find the x and y coordinates of the point at which...Ch. DPT - Find the x and y coordinates of the point at which...Ch. DPT - In Problems 37-40, solve for x. x2=5xCh. DPT - In Problems 37-40, solve for x. 3x221=0Ch. DPT - In Problems 37-40, solve for x. x2x20=0Ch. DPT - In Problems 37-40, solve for x. 6x2+7x1=0
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