Answer:
Step-by-step explanation:
Remember that in general the taylor series of a function are given by
therefore
and then
Answer:
Total Composite Area: 5/2π in²
Total Composite Perimeter: 3π + 2 in
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Diameter: d = 2r
- Area of a Circle: A = πr²
- Circumference Formula: C = 2πr
Step-by-step explanation:
<u>Step 1: Define</u>
Radius of Circle ABC = 2 in
Radius of Circle AD = 1 in
<u>Step 2: Find Area</u>
Since the formulas are for use for <em>full </em>circles and we only have semicircles, we need to half the formulas.
We add the 2 composite figures to find the <em>total </em>area.
- [Circle AD] Substitute [AC]: A = 1/2π(1 in)²
- [Circle ABC] Substitute [AC]: A = 1/2π(2 in)²
- [Total] Combine: A = 1/2π(2 in)² + 1/2π(1 in)²
- Exponents: A = 1/2π(4 in²) + 1/2π(1 in²)
- Multiply: A = 2π in² + 1/2π in²
- Add: A = 5/2π in²
<u>Step 3: Find Perimeter</u>
Since the formulas are for use for <em>full </em>circles and we only have semicircles, we need to half the formulas.
We add the 2 composite figures to find the <em>total </em>perimeter. Don't forget circumference is only the <em>curve</em> of the circle.
- [Circle AD] Substitute [CF]: C = 1/2(2π · 1 in)
- [Circle ABC] Substitute [CF]: C = 1/2(2π · 2 in)
- [Total] Combine: C = 1/2(2π · 2in) + 1/2(2π · 1 in) + 2 in
- Multiply: C = 1/2(4π in) + 1/2(2π in) + 2 in
- Multiply: C = 2π in + π in + 2 in
- Add: C = 3π + 2 in
the given expression is,
so the factors are (3v - 7) (v + 1)
the given equation is,
so the answer is
(3v-7)(v+1)
Answer:
2,4
Step-by-step explanation: