Answer:
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Answer:
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>
- Functions
- Function Notation
- Coordinates (x, y)
<u>Calculus</u>
Derivatives
Derivative Notation
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]:
Integration Property [Multiplied Constant]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (0, 18)
<u>Step 2: Find General Solution</u>
<em>Use integration</em>
- [Derivative] Rewrite:
- [Equality Property] Integrate both sides:
- [Left Integral] Integrate [Integration Rule - Reverse Power Rule]:
- [Right Integral] Rewrite [Integration Property - Multiplied Constant]:
- [Right Integral] Integrate [Integration Rule - Reverse Power Rule]:
- Multiply:
<u>Step 3: Find Particular Solution</u>
- Substitute in point [Function]:
- Simplify:
- Add:
- Rewrite:
- Substitute in <em>C</em> [Function]:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
1) y=(7/2)x-2.
Slope is the coefficient of x, that is 7/2
Intercept x is the value of x when y = 0 ==> 0=(7/2) X - 2==> 7/2x=2 &x=4/7
so intercept x, (4/7,0)
Intercept y is the value of y when x=0 ==> y= (7/2).(0) - 2 ==> y = 2
and so intercept y, (0,-2)
Now you will follow the same logic to find the are same questions
2) y= -6x + 3 ==>Slope= -6, Intercept x =1/2 & intercept y=3
3) y=-5 has a slope 0 (it doesn't exist). The graph is a line // to x-axis at y=-5
4)y=(6/5)x + 1:==>Slope= -5/6, Intercept x =-5/6 & intercept y=1
5) y=(1/4)x + 2 ==>Slope= 1/4, Intercept x =-8 & intercept y=2
6) x=5, this ligne is // to y axis at x=-5
Answer:
A
Step-by-step explanation:
16 × 2 = 32
20 × 2 = 40
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Answer:
35%
Step-by-step explanation: