The answer is 3/22
Hope this helps
Answer:
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Differentiate</u>
- Basic Power Rule [Derivative Rule - Chain Rule]:
- Basic Power Rule [Addition/Subtraction, Multiplied Constant]:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Answer:
7/20
Step-by-step explanation:
You would use the Pythagorean Theorem
a^2 + b^2 = c^2
The sides 'a' and 'b' are the legs of the right triangle. The side c is the hypotenuse or the longest side. In this case, the longest side is c = 61. The other two sides are a = 11 and b = 60. The order of 'a' and 'b' does not matter.
Let's use the substitution property to plug in the given values mentioned and we will get...
a^2 + b^2 = c^2
11^2 + 60^2 = 61^2
121 + 3600 = 3721
3721 = 3721
We get the same number on both sides; therefore, the original equation is true when (a,b,c) = (11,60,61).
This all confirms we do have a right triangle. The right angle is opposite the hypotenuse. This is due to the rule that the largest angle of a triangle is always opposite the largest side.
Answer:
Between the lengths of 10 and 36 (exclusive).
Step-by-step explanation:
Since the lengths of any two sides is always greater than the third, the shortest possible length of the third side must be greater than 23 when added to 13. 23-13 = 10, so the third side must be greater than 10.
However, the third side also cannot exceed the length of the sum of the other two sides. 23+13 = 36, therefore the length must be less than 36.
The possible lengths of the third side lie between 10 and 36 (exclusive).
If we use 'l' for length, this range can be represented as follows:
Hope this helped!