Answer:
See below
Step-by-step explanation:
<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>
<u>To </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Proof</u><u> </u><u>:</u><u>-</u><u> </u>
Here we are required to prove that ,
And here it's given that , y || z . Therefore ,
- ∠3 = ∠6 ( alternate interior angles )
- ∠1 = ∠5 ( alternate interior angles )
Now we know that the measure of a straight line is 180°. Therefore ,
Hence Proved !
Answer:
Step-by-step explanation:
Understanding the problem:
x -----> number of munchkins
y -----> number of yema
Devise a plan:
x + y ≥ 10
3x + 2y ≥ 50
Carry out:
y ≥ -x + 10 ------------(I)
3x + 2y ≥ 50
2y ≥ -3x + 50
y ≥
Z is 90 degrees.
Y is 31 degrees
X should be 31 degrees also
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Calculus</u>
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
Step-by-step explanation:
*Note:
Velocity is the derivative of Position, and Acceleration is derivative of Velocity.
↓
Velocity is integration of Acceleration, Position is integration of Velocity.
<u>Step 1: Define</u>
a(t) = 4t m/s²
s(0) = 9 m
v(0) = 16 m/s
<u>Step 2: Find Velocity Function</u>
<em>Integration Pt. 1</em>
- [Velocity] Set up integral:
- [Velocity] Substitute in function:
- [Velocity] Rewrite [Integration Property - Multiplied Constant]:
- [Velocity] Integrate [Integration Rule - Reverse Power Rule]:
- [Velocity] Multiply:
<em>Finding C</em>
- [Velocity] Substitute in initial condition:
- [Velocity] Substitute in function value:
- [Velocity] Evaluate exponents:
- [Velocity] Multiply:
- Rewrite:
Velocity Function:
<u>Step 3: Find Position Function</u>
<em>Integration Pt. 2</em>
- [Position] Set up integral:
- [Position] Substitute in function:
- [Position] Rewrite [Integration Property - Addition]:
- [Position] Rewrite [Integration Property - Multiplied Constant]:
- [Position] Integrate [Integration Rule - Reverse Power Rule]:
- [Position] Multiply:
<em>Finding C</em>
- [Position] Substitute in initial condition:
- [Position] Substitute in function value:
- [Position] Evaluate exponents:
- [Position] Multiply:
- [Position] Divide:
- [Position] Rewrite:
Position Function:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
Answer:
Exact Form:
31/24
Decimal Form:
1.291¯6
Mixed Number Form:
1 7/24
Step-by-step explanation: