Answer:
General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Constant]:
Limit Rule [Variable Direct Substitution]:
Limit Property [Addition/Subtraction]:
L'Hopital's Rule
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
We are given the following limit:
Let's substitute in <em>x</em> = -2 using the limit rule:
Evaluating this, we arrive at an indeterminate form:
Since we have an indeterminate form, let's use L'Hopital's Rule. Differentiate both the numerator and denominator respectively:
Substitute in <em>x</em> = -2 using the limit rule:
Evaluating this, we get:
And we have our answer.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
The expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.
Solution:
Given expressions are 15t – 2t and 2t – 15t.
To determine 15t – 2t is equivalent to 2t – 15t or not.
Substitute t = 2 in above two expressions.
15t – 2t = 15(2) – 2(2)
= 30 – 4
= 26
2t – 15t = 2(2) – 15(2)
= 4 – 30
= –26
The values of the expressions are different when t = 2.
So, 15t – 2t is not equivalent to 2t – 15t.
Hence the expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.
33.3 square feet
Explanation: 8+8= 16+4= 20 + the top which should not be much more than 8.
Hope this helps:)
Answer:
30.48 centimeters
Step-by-step explanation:
We know that:
2.54 cm = 1 inch
To find how many centimeters are in 12 inches, you should:
2.54 x 12 = 30.48
So Jacob’s pieces of yarn should be 30.48 centimeters long.
Hope this helps!