Solve both Questions accurately.I will give u upvote .Thanks Question 23<f(4.3)~>If f(x) = 4x² 7x + 5, find f'(4).Use this to find the linear approximation to f(x) at x = 4.The equation of this linear approximation isL(x) =Use L(x) to approximate f(4.3). (Compute the actual value of L(4.3).)Compare this with the actual value of f(4.3):= Question 24< >Use linear approximation, i.e. the tangent line, to approximate √81.2 as follows:Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 81L(x) =Using this, we find our approximation for V/81.2 isNOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exactanswer.

Answered: Image /qna-images/answer/684684e2-4d5e-443f-945f-4589a80e07f1.jpg

Question 23 If f(x) = 4x² - f(4.3)~ < > 7x + 5, find f'(4). Use this to find the linear approximation to f(x) at x = 4. The equation of this linear approximation is L(x) = Use L(x) to approximate f(4.3). (Compute the actual value of L(4.3).) Compare this with the actual value of f(4.3): =

Question 23 If f(x) = 4x² - f(4.3)~ < > 7x + 5, find f'(4). Use this to find the linear approximation to f(x) at x = 4. The equation of this linear approximation is L(x) = Use L(x) to approximate f(4.3). (Compute the actual value of L(4.3).) Compare this with the actual value of f(4.3): =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.4: Definition Of The Derivative

Problem 25E

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Solve both Questions accurately.I will give u upvote .Thanks

Question 23
<
f(4.3)~
>
If f(x) = 4x² 7x + 5, find f'(4).
Use this to find the linear approximation to f(x) at x = 4.
The equation of this linear approximation is
L(x) =
Use L(x) to approximate f(4.3). (Compute the actual value of L(4.3).)
Compare this with the actual value of f(4.3):
=

Question 24
< >
Use linear approximation, i.e. the tangent line, to approximate √81.2 as follows:
Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 81
L(x) =
Using this, we find our approximation for V
/81.2 is
NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact
answer.

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