Answer:
Point A(9, 3)
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>
- Coordinates (x, y)
- Functions
- Function Notation
- Terms/Coefficients
- Anything to the 0th power is 1
- Exponential Rule [Rewrite]:
- Exponential Rule [Root Rewrite]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em /><em />
<em /><em />
<em />
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:
- Basic Power Rule:
- Simplify:
- [Derivative] Rewrite [Exponential Rule - Rewrite]:
- [Derivative] Rewrite [Exponential Rule - Root Rewrite]:
<u>Step 3: Solve</u>
<em>Find coordinates of A.</em>
<em />
<em>x-coordinate</em>
- Substitute in <em>y'</em> [Derivative]:
- [Multiplication Property of Equality] Multiply 2 on both sides:
- [Multiplication Property of Equality] Cross-multiply:
- [Equality Property] Square both sides:
<em>y-coordinate</em>
- Substitute in <em>x</em> [Function]:
- [√Radical] Evaluate:
∴ Coordinates of A is (9, 3).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
10 bags of trail mix
Step-by-step explanation:
step one: 3.3+2.6+.5=6.4
step two: 6.4/.64=10
Answer:
Step-by-step explanation:
<u>6-digit palindrome is the number n the form of:</u>
<u>This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):</u>
Now, in order to be divisible by 99, the number must be divisible by 11 and 9.
According to divisibility rule by 9 the sum of all digits must be divisible by 9. <u>You can see In our case we need to have (the minimum):</u>
<u>The smallest number we could get is when x is minimum, y is minimum, so:</u>
<u>The number we get is:</u>
<u>Proof:</u>
Answer:
-5 = <em>v</em>
Step-by-step explanation:
First you take the positive five and subtract it from -20 making it -25. Then you divide -25 by positve 5 and you get -5 making your answer -5 = <em>v</em>
Answer:
exact answer 91/4 the mixed fraction is 23 3/4 and then
Step-by-step explanation:
23+1/2+1/4=23 3/4