Y=1/2x+2 because the y intercept is at 2 and then starting at 2 you go up 1 over 2 which gives you 1/2 aka rise over run. sorry, I'm bad at explaining.
Answer:
1+1=2
Step-by-step explanation:
If you have one cookie and add another cookie that's your second cookie.
Answer:
Step-by-step explanation:
4(x + 5) = 4x + 20
Answer:
B.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Exponential Rule [Rewrite]:
- Exponential Rule [Root Rewrite]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
The definition of a derivative is the slope of the tangent line
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Implicit Differentiation
Step-by-step explanation:
<u>Step 1: Define</u>
<u>Step 2: Differentiate</u>
<em>Implicit Differentiation</em>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:
- [Function] Basic Power Rule:
- [Derivative] Simplify:
- [Derivative] Rewrite [Exponential Rule - Rewrite]:
- [Derivative] Isolate term [Subtraction Property of Equality]:
- [Derivative] Isolate [Multiplication Property of Equality]:
- [Derivative] Simplify:
<u>Step 3: Evaluate</u>
<em>Find slope of tangent line</em>
- Substitute in point [Derivative]:
- [Slope] Exponents:
- [Slope] Simplify:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentiation - Implicit Differentiation
Book: College Calculus 10e
In step 3, when you combine the two terms, square them, and square root them, the squaring and square rooting messes everything up. Lets see what the right side is equal to throughout.
Now, since the
isn't going to change value throughout the whole problem, lets simply look at the other two numbers on that side.
In this step, the process of squaring and square rooting takes the number from -0.5 and turns it into 0.5. Since square roots are either positive or negative, this proof squares and square roots the initial number, allowing the value to be changed from the value we started with. Thus, instead of picking the -0.5, which makes the statement true, the proof uses the number 1 larger, 0.5. This is a very sneakily hidden way to increase the value of the number by one.
This is actually one of the smartest and the second hardest false proofs I have ever attempted to disprove. Only one has been harder to solve, and I am yet to solve it. I enjoyed the challenge!
Hope this was the answer you were looking for!