2 answers:
Answer:
k=6
Step-by-step explanation:
For a piecewise function to be continuous, the left-side and right-side limits must be equal to each other. Therefore, the left-side limit of f(x) is 8 because the derivative of 2x^2 is 4x, and then directly substituting x=2 gives us 4(2)=8. Therefore, the right-side limit must also equal 8. Therefore, k must be 6 because 2+6=8.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Equality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
<u>Algebra I</u>
Functions Function Notation <u>Algebra II</u>
Piecewise Functions<u>
</u> <u>Calculus</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Continuous at x = 2
<u>Step 2: Solve for </u><em><u>k</u></em>
Definition of Continuity: Evaluate limits: Evaluate exponents: Multiply: [Subtraction Property of Equality] Subtract 2 on both sides: Rewrite:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Limits - Continuity
Book: College Calculus 10e
You might be interested in
430,500/ 750,000 = 0.574 0.574 x 100 = 57.4 %
Answer: A. The study compares two or more treatments (possibly including "no treatment").
C. The study involves one or more treatment groups and a control group.
Step-by-step explanation:
32 miles/gallon!!!!!!!!!!!!!!!!'
Answer:
lkwelfknsdv
Step-by-step explanation:
fkamgikrnmg