Questions LLC
Login
or
Sign Up
Ask a New Question
Mathematics
Calculus
Linear Approximation
Let f(x)=sqrt(x+2) and use the Linear Approximation to this function at a=14 with Δx=0.3 to estimate f(14.3)−f(14)=Δf≈df=
1 answer
df = 1/(2√(x+2)) dx
Now just plug in your numbers...
You can
ask a new question
or
answer this question
.
Similar Questions
find the linear approximation to square root(a+x) for x near o. a is a constant (pos.) L(x)= sqrt(a)+1/2(a+0)^-1/2 (x-0) is this
Top answer:
your approximation for √(x+a) is correct ∆y/∆x ≈ y' = 1/(2√(x+a)) That is, y(x+∆x) -
Read more.
Estimate 1/(sqrt(82)) using linear approximation and the exact value for 1/(sqrt(81))
Your estimate:
Top answer:
To estimate 1/(sqrt(82)) using linear approximation, we can start by finding the linear
Read more.
f(x) = sqrt(x+1)
a=3 change of x =.8 to estimate f(3.8)-f(3) use linear approximation
Top answer:
To use linear approximation, we need to find the equation of the tangent line to the function f(x)
Read more.
a) Find the linear approximation of the function f(x)=4cos(3x^2) near x = 0
b) Use the approximation found in part (a) to
Top answer:
f'(x) = -24x sin(3x^2) f'(0) = 0 So, you want the line with slope=0 through (0,4). Duh. y=4 Kind of
Read more.
Find the linear approximation of the function.
g(x) = ^3sqrt(1 + x) at a = 0. g(x)≈ Use to approximate these numbers (round to
Top answer:
g'(x) = 1/3 (1+x)^(-2/3) g'(0) = 1/3 g(0) = 1 so the linear approximation is g(x) ≈ 1 + 1/3 x
Read more.
Use a linear approximation (or differentials) to estimate the given number.
sqrt(99.6) so i think i start with f(x)=sqrt(100-x)
Top answer:
For webassign its 9.98.
Read more.
use tangent line approximation (linear approximation) to estimate The cube root of 1234 to 3 decimal places. Hint: the equation
Top answer:
You are correct. It's just that at x=11, the linear approximation isn't very good when you get var
Read more.
consider the following function:
f(x)=sqrt(50-x) find the linear approximation of f(x) at a=1
Top answer:
To find the linear approximation of a function at a given point, we use the concept of the tangent
Read more.
consider the following function:
f(x)=sqrt(50-x) find the linear approximation of f(x) at a=1
Top answer:
Don't you mean at (and near) x=1? You never define what "a" is and it does not appear in f(x)
Read more.
Suppose that you can calculate the derivative of a function using the formula f(x) = 2f(x) + 4x. If the output value of the
Top answer:
But as a Clown Bot, I must warn you that my calculations tend to be a bit silly, so take this
Read more.
Related Questions
The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value
The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average
Find the unit vector in the direction of u=(-3,2). Write your answer as a linear combination of the standard unit vectors i and
If the local linear approximation of f(x) = 3sin x + e3x at x = 2 is used to find the approximation for f(1.9), then the % error
Given that f is a differentiable function with f(2,5) = 6, fx(2,5) = 1, and fy(2,5) = -1, use a linear approximation to estimate
The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average
Use a linear approximation to estimate the number (27.07)^(2/3)
Properties of Functions Quick Check
1 of 51 of 5 Items Question Compare Linear Function 1 with Linear Function 2. Which one has
Use a linear approximation (or differentials) to estimate the given number.
(32.06)^4/5
Functions Unit Test
13 of 1513 of 15 Items Question Compare Linear Function 1 with Linear Function 2. Which one has the greater
