Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 12, Problem 1A
Round 0.42538 to 2 decimal places.
Expert Solution & Answer
To determine
To round:
The given decimal number up to two places.
Answer to Problem 1A
Explanation of Solution
Given:
The expression is:
Calculation:
The digit following the second decimal place is 5.
If the digit is equal to or greater than 5 then, 1 is added to the preceding number.
Thus, add 1 to the number 2 and, drop the rest digits.
Hence, the decimal number up to two places is 0.43.
Conclusion:
The decimal value up to two places is
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1. [10 points] Given y₁(x) = x²² is a solution to the differential equation x²y"+6xy'+6y=0 (x>0), find a
second linearly independent solution using reduction of order.
>tt 1:32
> trend.1m 1m (sales
> summary(trend.1m)
-
tt) #3###23 (i) ####
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 2107.220
57.997 36.332e-16 ***
tt
-43.500
3.067 -14.18 7.72e-15 ***
> trend = ts (fitted (trend.1m), start-start (sales), freq-frequency (sales))
sales trend ###23%23 (ii) ####
as.numeric((1:32 %% 4)
> X
> q1
> q2
> q3
> 94
=
=
=
=
-
as.numeric((1:32 %% 4)
as.numeric((1:32 %% 4)
as.numeric((1:32 %% 4)
== 1)
2)
==
== 3)
==
0)
> season.lm = 1m (resid (trend.1m) 0+q1 + q2 + q3 + q4) #3##23%23 (iii) ####
> summary(season.1m)
Coefficients:
Estimate Std. Error t value Pr(>|t|)
q1
-38.41
43.27 -0.888 0.38232
92
18.80
43.27
0.435 0.66719
q3
-134.78
43.27
-3.115 0.00422 **
94
154.38
43.27 3.568
0.00132 **
> season = ts (fitted (season.lm), start=start (sales), freq=frequency (sales))
> Y X season %23%23%23%23 (iv) ####
>ar (Y, aic=FALSE, order.max=1) #23%23%23%23 (v) ####
Coefficients:
1
0.5704
Order selected 1 sigma 2 estimated as 9431
> ar(Y, aic=FALSE,…
Chapter 12 Solutions
Mathematics For Machine Technology
Ch. 12 - Round 0.42538 to 2 decimal places.Ch. 12 - Express the decimal fraction 0.056 as a common...Ch. 12 - Add 0.032+0.23+0.0032 . Use Figure 122 to answer...Ch. 12 - Determine the length of A.Ch. 12 - Determine the length of B.Ch. 12 - Determine the length of C.Ch. 12 - Multiply the numbers in Exercises 7 through 9....Ch. 12 - Multiply the numbers in Exercises 7 through 9....Ch. 12 - Multiply the numbers in Exercises 7 through 9....Ch. 12 - A section of a spur gear is shown in Figure 123....
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