Answer:
How many meters are there? Use 7.99x and use x as meters a of fence
Answer:
<h3>
f(x) = - 4x² - 20x + 56 </h3>
Step-by-step explanation:
f(x) = a(x - x₁)(x - x₂) - factored form of the equation of the parabola with zeros x₁ and x₂
x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7
So:
f(x) = a(x - 2)(x + 7) - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)
The parabola passing through point (1, 32) means if x=1 then f(x)=32
Then:
32 = a(1 - 2)(1 + 7)
32 = a(-1)(8)
32 = - 8a
a = - 4
Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):
<u> f(x) = -4(x - 2)(x + 7) </u>
Expanding to standard form:
f(x) = -4(x - 2)(x + 7)
f(x) = -4(x² + 7x - 2x - 14)
<u> f(x) = -4x² - 20x + 56 </u>
Answer:
Answer is Option A
Step-by-step explanation:
the things people do for points smh :/
Answer:
Remember, the power set of any set S is the set of all subsets of S, including the empty set and S itself.
Then the power set of is
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Functions
- Function Notation
- Exponential Rule [Root Rewrite]:
<u>Algebra II</u>
- Logarithms and Natural Logs
- Logarithmic Property [Multiplying]:
- Logarithmic Property [Exponential]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Logarithmic Derivative:
Implicit Differentiation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em /><em />
<em />
<u>Step 2: Rewrite</u>
- [Equality Property] ln both sides:
- Logarithmic Property [Multiplying]:
- Exponential Rule [Root Rewrite]:
- Logarithmic Property [Exponential]:
<u>Step 3: Differentiate</u>
- ln Derivative [Implicit Differentiation]:
- Rewrite [Derivative Property - Addition]:
- Rewrite [Derivative Property - Multiplied Constant]:
- ln Derivative [Chain Rule]:
- Rewrite [Derivative Property - Addition]:
- Basic Power Rule]:
- Simplify:
- Multiply:
- [Multiplication Property of Equality] Isolate <em>y'</em>:
- Substitute in <em>y</em>:
- [Brackets] Add:
- Multiply:
- Simplify [Exponential Rule - Root Rewrite]:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Implicit Differentiation
Book: College Calculus 10e