Answer:
Step-by-step explanation:
The result can be shown in multiple forms.
Exact Form:
√
6
−
√
2
4
Decimal Form:
0.25881904
…
Answer: -0.333333 this is it in decimal form
Answer:
(b)
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Integration
Integration Method: U-Substitution and U-Solve
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
<em />
<u>Step 2: Integrate Pt. 1</u>
<em>Identify variables for u-substitution.</em>
- Set <em>u</em>:
- [<em>u</em>] Apply Trigonometric Differentiation:
- [<em>du</em>] Rewrite [U-Solve]:
<u>Step 3: Integrate Pt. 2</u>
- [Integral] Apply Integration Method [U-Solve]:
- [Integrand] Simplify:
- [Integral] Apply Arctrigonemtric Integration:
- Simplify:
- [<em>u</em>] Back-substitute:
∴ we used substitution to <em>find</em> the indefinite integral.
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Learn more about integration: brainly.com/question/27746468
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Answer:
If
x
y
=
sin
x
, using the product rule:
y
+
x
y
'
=
cos
x
□
y
'
+
y
'
+
x
y
'
'
=
−
sin
x
△
△
x
+
□
⇒
2
y
'
x
+
y
'
'
+
y
+
x
y
'
=
−
sin
x
x
+
cos
x
As
y
=
sin
x
x
and
y
+
x
y
'
=
cos
x
:
2
y
'
x
+
y
'
'
+
cos
x
=
−
y
+
cos
x
⇒y''+2y,
x+y=0
Answer:
See below.
Step-by-step explanation:
The expression is equivalent to the decimal -0.8 or -80%. It is also equivalent to the fractions since these simplify to 4/-5.