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:
1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11
Step-by-step explanation:
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 803,000,000New Number: 8.03000000Step 2
Now, to find b, count how many places to the right of the decimal.
New Number:8.03000000Decimal Count:12345678
There are 8 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 8.03 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
8.03 x 108
Step 4
Check your work:
108 = 100,000,000 x 8.03 = 803,000,000
Answer:
11 weeks
Step-by-step explanation:
30-8=22
22/2= 11
No parts are manufactures is when x=0 because it is run 0 hours
y=amount of elctricity needed
y=12(0)+24
y=0+24
y=24
24 watts are used on a day when no parts are manufactured
