Answer:
(a)
(b)
(c) Simplifying first
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
Derivative Rule [Product Rule]:
Derivative Rule [Quotient Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
<em />
<u>Step 2: Differentiate Way 1</u>
- Derivative Rule [Quotient Rule]:
- Rewrite [Derivative Property - Addition/Subtraction]:
- Derivative Rule [Product Rule]:
- Rewrite [Derivative Rule - Multiplied Constant]:
- Derivative Rule [Basic Power Rule]:
- Simplify:
- Simplify:
- Simplify:
- Simplify:
- Rewrite:
∴ we find the derivative of the given function but it is a tedious method of computation.
<u>Step 3: Differentiate Way 2</u>
- [Function] Rewrite:
- [Function] Simplify:
- [Derivative] Rewrite [Derivative Property - Addition/Subtraction]:
- Rewrite [Derivative Property - Multiplied Constant]:
- Derivative Rule [Basic Power Rule]:
∴ we find the derivative of the given function <em>and </em>it is less complex and faster. We can conclude that simplifying first appears to be simpler for this problem.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Answer:
RC = 40
Step-by-step explanation:
Note that the circumcentre is equally distant from the triangle's 3 vertices.
That is : PC = RC = QC
Equate any pair and solve for x
Using RC = PC, then
5x - 15 = 3x + 7 ( subtract 3x from both sides )
2x - 15 = 7 ( add 15 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Hence
RC = (5 × 11) - 15 = 55 - 15 = 40 units
Answer:
Yes
Step-by-step explanation:
5 x 8 = 40, 169 + 40= 209 which is higher than 200
So Thw Problem Says 233 Feet of Wood To Build a Fence and Wood Comes in Length of 11 so Look for the Key Word. The Key Word is Total And than Means Divison. So you have to Divide 233 And 11.
By (i believe) multiplying the base by the height. I hope this helps!