We are integrating f(x) = 9cos(9x) + 3x²: 
a) Apply the sum rule

b) Calculate each antiderivative
<u>First integral</u>

1. Take out the constant

2. Apply u-substitution, where u is 9x

3. Take out the constant (again)

4. Take the common integral of cos, which is sin

5. Substitute the original function back in for u and simplify
6. Always remember to add an arbitrary constant, C, at the end

<u>Second integral</u>

1. Take out the constant

2. Apply the power rule,
, where <em>a</em> is your exponent
⇒ 
3. Add the arbitrary constant

c) Add the integrals
sin(9x) + C + x³ + C = sin(9x) + x³ + C
Notice the two arbitrary constants. Since we do not know what either constant is, we can combine them into one arbitrary constant.
<h3>
Answer:</h3>
F(x) = sin(9x) + x³ + C
D is not an ordered pair.
The two highlighted rows show that for the same amount of blue, Purple #1 uses <u>more</u> red than Purple #2.
This means that Purple #1 is <u>a redder</u> shade of purple than Purple #2.
Purple #2 is <u>a bluer</u> shade of purple than Purple #1.
Step-by-step explanation:
The two highlighted rows show that for the same amount of blue, Purple #1 uses <u>more</u> red than Purple #2.
Making blue's quantity as 3 parts for purple #1 implies red part becomes 1.5 to maintain the ratio 1:2
Purple #1 has 1/3 parts red and 2/3 parts blue. Purple #2 has 1/4th part red and 3/4th part blue.
Hence, Purple #1 is <u>a redder</u> shade of purple than Purple #2.
From the above explanation, <u>Purple #2</u> is a bluer shade of purple than Purple #1.
<em>Sure hopes this helps you :)</em>
<em></em>
<h3><em>
//❀ ❀//</em></h3>
Answer:
The highest percentage of teenagers in the sample
listed soccer as their favorite sport.
Basketball
Lacrosse
Soccer
Football
Step-by-step explanation:
1 x 2 x 2 x 2 x 3 x 3 x 7