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
Answer: V = l w h
Step-by-step explanation:
Hi, to answer this question we have to apply the formula for the volume of a rectangular prism.
Volume of a rectangular prism (V) = Length x Width x Height
Replacing with the values given:
V = l w h
All values are multiplied (didn’t use x as a multiplication symbol to avoid confusion)
Feel free to ask for more if needed or if you did not understand something.
Answer:
a = 170
Step-by-step explanation:
0.3a = 51
a = 51 : 0.3
a = 51 : 3/10
a = 51 x 10/3
a = 510/3
a = 170
0.3x170 =
= 3/10x170
= 510/10
= 51
Answer: 1859.5 mini bears
Step-by-step explanation:
From the information given in the question,
10 mini bars = 12.1 grams
10 regular bars = 23.1 gram
1 super bear = 2250 grams
To eat enough mini bears to match the super bears, the number that it'll take will be:
Since 10 mini bars = 12.1 grams
1 mini bear = 12.1 grams / 10 = 1.21 gram
Since 1 super bear = 2250 grams, the number of mini bears needed to equate this will be:
= 2250/1.21
= 1859.5 mini bears
6506 or 656 is the answer
