Answer:

General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Trig Derivatives
Integration
- Integrals
- Definite Integrals
- Integration Constant C
Integration Rule [Fundamental Theorem of Calculus 1]: 
Integration Property [Multiplied Constant]: 
Trig Integration
Logarithmic Integration
Step-by-step explanation:
<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 [Trig Derivative]:

- [Bounds of Integration] Change:
![\displaystyle [\frac{1}{2}, 1]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B%5Cfrac%7B1%7D%7B2%7D%2C%201%5D)
<u>Step 3: Integrate Pt. 2</u>
- [Integral] Rewrite [Integration Property - Multiplied Constant]:

- [Integral] U-Substitution:

- [Integral] Logarithmic Integration:

- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Answer:y
=
3
x
−
1
Explanation:
Find
d
y
d
x
of
y
equation
y
=
3
x
2
−
x
3
d
y
d
x
=
6
x
−
3
x
2
Then from the point (1,2) we can obtain the x value which is 1
Insert
x
=
1
into
d
y
d
x
d
y
d
x
=
6
(
1
)
−
3
(
1
)
2
d
y
d
x
=
3
To form the equation we have to base it from the original equation
y
=
m
x
+
c
we know that m=3 from
d
y
d
x
=
3
y
=
3
x
+
c
use the coordinates given fro x and y values to find c
(1,2) x=1 , y=2
(
2
)
=
3
(
1
)
+
c
c
=
−
1
Then we put c back into the general form to get the final tangent equation
y
=
3
x
−
1
Step-by-step explanation:
Answer: Once
Step-by-step explanation: If you do 100 - 10 you get 90 as result, therefore you don't have 100 anymore making the only logical answer to this "ONCE".
<span>In general, a positive constant moves a function upwards and a negative value moves it downwards. Thus, g(x)=⌈x⌉+0.5 is 0.5 units above f(x)=⌈x⌉, as shown in attached picture.
To shift a function left, you add units to the independent variable.To shift it right, you subtract a constant from "x".
Example:
h(x)=⌈x+1⌉ is 1 unit left to f(x).</span>
Answer: im not sure sorry
Step-by-step explanation: