Answer:
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
- Integrals
- Indefinite Integrals
- Integration Constant C
Integration Rule [Reverse Power Rule]:
U-Substitution
Step-by-step explanation:
*Note:
The answer below me is correct, but there is a simpler method to obtain the answer.
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Integrate Pt. 1</u>
<em>Identify variables for u-substitution.</em>
- Set <em>u</em>:
- [<em>u</em>] Differentiate [Basic Power Rule]:
<u>Step 3: Integrate Pt. 2</u>
- [Integral] U-Substitution:
- [Integral] Reverse Power Rule:
- Back-Substitute:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Answer:
12 m
Step-by-step explanation:
The formula for area of a triangle is
A = 1/2 b*h where b is the base length and h is the height
We know the area and the height
24 = 1/2 * b * 4
24 = 2b
Divide each side by 2
24/2 = 2b/2
12 =b
The base is 12 m
Angle of elevation of the sun: 69 degrees
Step-by-step explanation:
tan(x) = 200/75
x = tan^-1 (200/75)
x = 69 degrees
Answer:
negative
Step-by-step explanation:
36 below zero. When it says below zero it will always be negative. If it was to say <em>above</em> then the answer will be positive.
Hope it helps!
Answer:
0
Step-by-step explanation:
(sorry I am on my computer but anything as 21π/2 is a fraction)
Cot= cos x/sin x
cot(21π/2 - 0) =0
Simplified
cot(21π/2)
=cot(π/2)
=0