Integrate indefinite integral:
Solution:
1. use substitution
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2. decompose into partial fractions
where A=1/2, B=1/2, C=-1
3. Substitute partial fractions and continue
4. back-substitute u=e^x
Note: log(x) stands for natural log, and NOT log10(x)
Answer:
1 3/4
Step-by-step explanation:
2/8 * 7
2/8 will simplify
Divide the top and bottom by 2
12/8 = 1/4
1/4*7
7/4
We need to change this from an improper fraction to a mixed number
4 goes into 7 once with 3 left over
1 3/4
Answer:
9
Step-by-step explanation:
First, write the equation.
C(n) = 4 + 3n
We know that C(n) = 31, so we can substitute it.
31 = 4 + 3n
Subtract 4 from both sides to isolate the term with the variable.
27 = 3n
Divide both sides by 3 to get the variable by itself.
9 = n
Answer:
6.9
Step-by-step explanation:
Let x be the length of the remaining side.
By the Pythagorean theorem,
4² + x² = 8²
x² = 8² - 4² = 48
x = √48 = 4√3 ≅ 6.9
The range of the set is 17 because the range is the largest number minus the smallest number in this set 93 is the largest and 76 is the smallest therefore you subtract them 93-76=17.
