SNHU MAT 225 Module 6
Problem Set 2024 With
Complete Solution
Question1: Score 3/6
Find two numbers with difference and whose product is a minimum.
Enter your answers in increasing order.
First number:
Your response Correct response
-30 -30
Auto graded Grade: 2/2.0
Second Number:
Your response Correct response
30 30
Auto graded Grade: 1/1.0
Show your work and explain, in your own words, how you arrived at your
answers.
Two numbers whose difference is 60 can be represented by x
and x-60. Their product can be represented by the function f(x)
= (x)(x-60)
Then, I found the
derivative: d/dx((x)(x-
60))
d/dx(x)(x-60) + d/dx(x-
60)x d/dx(x) = 1
d/dx(x-60) =
1 1*(x-60) +
1*x f'(x) =
2x-60
Setting that to zero, I
got: 2x-60 = 0
x = 30
, 30 - 60 = -30
Ungraded Grade: 0/3.0
Total grade: 1.0×2/6 + 1.0×1/6 + 0.0×3/6 = 33% + 17% + 0%
Feedback:
The following is Mobius' explanation for a solution to this question. You can
use this and other online references as a guide, but your explanation should
be in your own words.
Problem Set 2024 With
Complete Solution
Question1: Score 3/6
Find two numbers with difference and whose product is a minimum.
Enter your answers in increasing order.
First number:
Your response Correct response
-30 -30
Auto graded Grade: 2/2.0
Second Number:
Your response Correct response
30 30
Auto graded Grade: 1/1.0
Show your work and explain, in your own words, how you arrived at your
answers.
Two numbers whose difference is 60 can be represented by x
and x-60. Their product can be represented by the function f(x)
= (x)(x-60)
Then, I found the
derivative: d/dx((x)(x-
60))
d/dx(x)(x-60) + d/dx(x-
60)x d/dx(x) = 1
d/dx(x-60) =
1 1*(x-60) +
1*x f'(x) =
2x-60
Setting that to zero, I
got: 2x-60 = 0
x = 30
, 30 - 60 = -30
Ungraded Grade: 0/3.0
Total grade: 1.0×2/6 + 1.0×1/6 + 0.0×3/6 = 33% + 17% + 0%
Feedback:
The following is Mobius' explanation for a solution to this question. You can
use this and other online references as a guide, but your explanation should
be in your own words.
