Linear Approximation Concepts
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of linear approximation?
To calculate integrals
To solve differential equations
To estimate values using tangent lines
To find the exact value of a function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example problem, what is the function f(x) used?
f(x) = x^2 + 3
f(x) = 3x
f(x) = x + 3
f(x) = sqrt(x + 3)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 'a' in the example problem?
2
1
3.98
0.98
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of f(x) = sqrt(x + 3)?
1/2 * (x + 3)^(-1/2)
1/2 * (x + 3)^(1/2)
2 * (x + 3)^(-1/2)
2 * (x + 3)^(1/2)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine if the linear approximation is an overestimate?
If the tangent line is parallel to the curve
If the tangent line is below the curve
If the tangent line intersects the curve
If the tangent line is above the curve
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the calculated linear approximation value for f(0.98)?
1.99
2.00
1.98
1.995
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to recognize the form of the function in linear approximation?
To determine the correct point of tangency
All of the above
To ensure the correct derivative is used
To simplify the calculation process
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