Answer:
Domain: All Real Numbers
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Chain Rule:
Derivative:
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = ln(2x² + 1)
<u>Step 2: Differentiate</u>
- Derivative ln(u) [Chain Rule/Basic Power]:
- Simplify:
- Multiply:
<u>Step 3: Domain</u>
We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.
Therefore, our domain would be all real numbers.
We can also graph the differential function to analyze the domain.
Answer:
0.8104
Step-by-step explanation:
B)66.5in^2
The square is 49in^2 and the triangle has side lengths of 5 and 7 so the area is (5*7/2=17.5)
49+17.5=66.5
Answer:
everybody gets 1/16 of the pizza
Step-by-step explanation:
(1/4)÷4=1/16
The total participants were:
30 + 50 + 40 + 10
= 100
Out of which:
30 were 0-19 years old
50 were 20-39 years old
40 were 40-59 years old
10 were 60-79 years old