Use elimination to solve this system of equations. 2r + 3s= 9 and 3r + 2s= 12
2 answers:
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To find f'(3) (f prime of 3), you must find f' first. f' is the derivative of the function f(x).
Finding the derivative of f(x) = 2x⁴ requires the use of the power rule.
The power rule for derivatives is . In other words, you bring the exponent forward and multiply it by the coefficient of the term, and then you subtract 1 from the original exponent.
f'(x) = (2x⁴)
f'(x) = 2(4)x³
f'(x) = 8x³
Now, to find f'(3), plug 3 into your derivative.
f'(3) = 8(3)³
f'(3) = 216
<h3>Answer:</h3>f'(3) = 216
Answer:
6.75g
Step-by-step explanation:
The first step is converting everything to grams, by rules of three. Then we add.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
Unit conversion problems, like this one, is an example of a direct relationship between measures.
First step: 0.0025kg to g
Each kg has 1000g, so:
1kg - 1000g
0.0025kg - xg
x = 1000*0.0025 = 2.5g
0.0025kg = 2.5g
Second step: 1750 mg
Each g has 1000mg, so:
1g - 1000mg
xg - 1750mg
1000x = 1750
x = 1.75g
1750 mg = 1.75g
2.25g - OK
Third step: 825,000 μg to g
Each g has 1,000,000 ug, so:
1g - 1,000,000 ug
xg - 825,000 ug
1,000,000x = 825,000
x = 0.25g
825,000 μg = 0.25g
Final step: adding everyting
0.25g + 2.25g + 1.75g + 2.50g = 6.75g