8 Answered Questions for the topic Linear Approximation

Linear Approximation Calculus Derivative

11/15/21

The linear approximation at x = 0 to sin ( 6 x ) is A + B x where A is: and where B is

The linear approximation at x=0 to sin(6x) is A+Bx where A is:    and where B is
Linear Approximation Calculus

04/15/20

show that sin 3 is approximately pie-3

sin 3 is a radian. i used the formula l(x)=sin(a)+cos(a)*(x-a)i used 3.1 to estimate sin 3l(3.1)=sin(3.1)+cos(3.1)*(3-3.1)=.1414941775pie-3=.1415926536is this enough or the right way to show that... more
Linear Approximation Calculus Precalculus

10/09/19

Estimate the distance traveled over the next quarter-second and explain how this is an application of the Linear Approximation

At a certain moment, an object in linear motion has a velocity 100m/s.
Linear Approximation Calculus Derivative

11/17/18

Linear Approximation

The stopping distance for an automobile is F(s) = 1.1s + 0.054s2 ft, where s is the speed in mph. Use the Linear Approximation to estimate the change in stopping distance per additional mph... more
Linear Approximation Calculus Derivative Differentials

11/17/18

Linear Approximation

Use differentials or Linear Approximation to approximate the value shown (note each method will give the same result for your chosen x = a)Cube root of 26.1(Round to four decimal places)
Linear Approximation Calculus

10/22/18

Calculus: Linear Approximation & Error

Suppose we know that g(2)=6, g′(2)=−4, and that |g′′(x)|<3 for all x∈[1,3].(a) Use a linear approximation to estimate g(2.1). Enter your answer as a decimal number.(b) How accurate do you... more
Linear Approximation Math Calculus

10/28/15

Find the linear approximation of the function f(x) = (1 - x)^1/2 at a = 0 and use it to approximate 0.9^1/2 and 0.99^1/2

Find the linear approximation of the function f(x) = (1 - x)1/2 at a = 0 and use it to approximate 0.91/2 and 0.991/2    I know how to figure this out when I'm allowed to graph it, however, my... more

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