Answer:
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next three are n+2, n+4, and n+6
four consecutive odd have sum 56
n + n+2 + n+4 + n+6 = 56
4n + 12 = 56
4n = 44
n = 11
the numbers are 11, 13, 15, and 17
Answer:
b) 3(9) + 4 = 36 + 4 = 40
c) 3(0) + 4 = 0 + 4 = 4
d) 3(-3) + 4 = -9 + 4 = -5
e) 3(8) + 4 = 24 + 4 = 28
Step-by-step explanation:
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Answer:
f'(1) = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
The definition of a derivative is the slope of the tangent line.
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x²
Point (1, f(1))
<u>Step 2: Differentiate</u>
- Basic Power Rule: f'(x) = 2 · x²⁻¹
- Simplify: f'(x) = 2x
<u>Step 3: Find Slope</u>
<em>Use the point (1, f(1)) to find the instantaneous slope</em>
- Substitute in <em>x</em>: f'(1) = 2(1)
- Multiply: f'(1) = 2
This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)
