Answer:
Step-by-step explanation:
-n + 8 = -2
-n = -10
n = 10
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Terms/Coefficients
- Expanding
- Functions
- Function Notation
- Graphing
- Exponential Rule [Root Rewrite]:
<u>Calculus</u>
Integrals
- Definite Integrals
- Area under the curve
Integration Rule [Reverse Power Rule]:
Integration Rule [Fundamental Theorem of Calculus 1]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
Shell Method:
- [Shell Method] <em>x</em> is the radius
- [Shell Method] 2πx is the circumference
- [Shell Method] 2πxf(x) is the surface area
- [Shell Method] 2πxf(x)dx is the volume
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Graph of region
y = x²
x = 2
y = 4
Axis of Revolution: y = -1
<u>Step 2: Sort</u>
<em>We are revolving around a horizontal line.</em>
- [Function] Rewrite in terms of <em>y</em>: x = √y
- [Graph] Identify bounds of integration: [0, 4]
<u>Step 3: Find Volume Pt. 1</u>
- [Shell Method] Find distance of radius <em>x</em>:
- [Shell Method] Find circumference variable f(x) [Area]:
- [Shell Method] Substitute in variables:
- [Integral] Rewrite integrand [Exponential Rule - Root Rewrite]:
- [Integral] Expand integrand:
- [Integral] Integrate [Integration Rule - Reverse Power Rule]:
- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:
- Multiply:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Applications of Integration
Book: College Calculus 10e
Answer:
Is that a question or what
Step-by-step explanation:
dont make sense
Answer:
Step-by-step explanation:
We are given an expression and are asked to find what it equals. We can see that the two square roots are being multiplied, therefore they follow the same standard as any multiplication problem, do as followed :
Since a square root and constant number are different terms, we cannot combine them together, therefore leave as is :