Answer:
General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Variable Direct Substitution]:
Limit Rule [Variable Direct Substitution Exponential]:
Limit Property [Multiplied Constant]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Solve</u>
- Rewrite [Limit Property - Multiplied Constant]:
- Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
Answer:
y=1/3x-4
Step-by-step explanation:
The point where the line intercepts the y-axis is the y-intercept and where the digit -4 comes from
1/3 comes from how many times the line rises (1) and run (3)
Hope this helps!
Answer:
2 x − 5 = 7 2x-5=7 2x−5=7.
Step-by-step explanation:
Add 5 to both sides. Simplify 7 + 5 7+5 7+5 to 1 2 12 12. Divide both sides by 2.
Answer:
20
Step-by-step explanation:
Given the expression
x(x + 3) + 2 for x = 3
Substitute x =3 into the equation
f(3)= 3(3+3)+2
f(3) = 3(6)+2
f(3) = 18+2
f(3) =20
Hence the value of the expression when x = 2 is 20
Slope of AB
m = (y2 - y1)/(x2 - x1)
m = (11 - (-4))/(2 - (-1))
m = (11 + 4)/(2 + 1)
m = 15/3
m = 5
The slope of line AB is 5
Slope of CD
m = (y2 - y1)/(x2 - x1)
m = (10 - 1)/(4 - 1)
m = 9/3
m = 3
The slope of CD is 3
Since the two slopes are not equal, this means the lines are not parallel.
Since (slope of AB)*(slope of CD) = 5*3 = 15 is not equal to -1, this means the lines are not perpendicular
Answer: Neither (not parallel; not perpendicular)