Answer:

General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:

Derivative Property [Addition/Subtraction]:

Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
Integration Rule [Reverse Power Rule]:

Integration Property [Multiplied Constant]:

Integration Methods: 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/u-solve</em>.
- Set <em>u</em>:

- [<em>u</em>] Differentiate [Derivative Rules and Properties]:

- [<em>du</em>] Rewrite [U-Solve]:

<u>Step 3: Integrate Pt. 2</u>
- [Integral] Apply U-Solve:

- [Integrand] Simplify:

- [Integral] Rewrite [Integration Property - Multiplied Constant]:

- [Integral] Apply Integration Rule [Reverse Power Rule]:

- [<em>u</em>] Back-substitute:

∴ we have used u-solve (u-substitution) to <em>find</em> the indefinite integral.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Answer:
Katie needs to pay $27.9.
Step-by-step explanation:
Given;
Cost of per foot = $2.25
Number of flowers in her yard = 12.4 square foot
We need to find how much she needs to pay.
Solution:
Now we know that;

So for
= Cost for
.
By using Unitary method we get;
Cost for
= 
Hence Katie needs to pay $27.9.
Answer:
x y
1 1
5 17
6 21
7 25
Step-by-step explanation:
Answer:
5075 cents or 50.75
so sorry if it was wrong!
Answer:
x = 6.59 hrs = about 6 hours, 35 minutes
Step-by-step explanation:
Adam drives at 85 km / h. Let's set up equivalent fractions to see how long if he drives 560 km.

Cross-multiply:
85x = 560
Solve for x:
560/85 = x
<u>x = 6.59 hrs = about 6 hours, 35 minutes</u>