The simplified answer is 17.48
Answer:
1/2 ; 1/3 ; 1/6
Step-by-step explanation:
Given :
Ben ~ exp(1)
Max ~ exp (2)
Yolanda ~ exp(3)
Ben :
X ~ exp(1)
Max:
Y ~ exp(2)
Yolanda :
Z ~ exp(3)
Probability that Yolanda is served first :
P(Z < (X, Y)) = Z /(x + y + z) = 3 /(1 + 2 + 3) = 3/6 = 1/2
Probability that Ben is served before Yolanda :
P(X < Z) = 1/ (1 + 2) = 1/3
Expected waiting time for first person served :
First person served = 1
Total = (1 + 2 + 3) = 6
Expected waiting time; E(x) :
E(x) : 1 / 6
The product of denominators can always serve as the common denominator. The appropriate choice is ...
... z times u . . . . . . . the first choice
Also undefined. What they tried to do in this question was give you more info then needed. if there is no slope then it is considered undefined
Answer:
f'(1) = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
The definition of a derivative is the slope of the tangent line.
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x²
Point (1, f(1))
<u>Step 2: Differentiate</u>
- Basic Power Rule: f'(x) = 2 · x²⁻¹
- Simplify: f'(x) = 2x
<u>Step 3: Find Slope</u>
<em>Use the point (1, f(1)) to find the instantaneous slope</em>
- Substitute in <em>x</em>: f'(1) = 2(1)
- Multiply: f'(1) = 2
This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)