4. Use differentials to approximate (2.003)^3 [Hint: Tangent Line Approximation. Identify your x and your ∆x]
4. Use differentials to approximate (2.003)^3
[Hint: Tangent Line Approximation. Identify your x and your ∆x]
Homework Answers
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4. Use differentials to approximate (2.003)^3
[Hint: Tangent Line Approximation. Identify your x and your
∆x]
1) 2) 3) Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let...
1)
2)
3)
Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let f(x) = z² and find the equation of the tangent line to f(x) at x = 15. Using this, find your approximation for 15.22 Given the function below f(x) = -180x3 + 396 1. Answer in mx + b form. Find the equation of the tangent line to the graph of the function at x = L(2) Use the tangent line to approximate f(1.1)....
parta- Use linear approximation, i.e. the tangent line, to approximate as follows:Let f(x) = x 6. The equation of the...
parta-
Use linear approximation, i.e. the tangent line, to
approximate as follows:Let f(x) = x 6.
The equation of the tangent line to f(x) at x = 2 can be written
in the form y = mx+b
where
is:
and where
is:
Using this, we find our approximation for 1.86is
Box 1: Enter your answer as a number (like 5, -3, 2.2) or as a
calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box...
(1 point) Use linear approximation, i.e. the tangent line, to approximate 15.3 as follows: Letf(x) = x2 and find the eq...
(1 point) Use linear approximation, i.e. the tangent line, to approximate 15.3 as follows: Letf(x) = x2 and find the equation of the tangent line tof(x) at x = 15 . Using this, find your approximation for 15.32
(1 point) Use linear approximation, i.e. the tangent line, to approximate 15.3 as follows: Letf(x) = x2 and find the equation of the tangent line tof(x) at x = 15 . Using this, find your approximation for 15.32
Find the equation of the tangent line to the graph y=x√ at x=4. y = On graph paper, sketch the graph and the tangent line using the x-values 3.5,4,4.5. The tangent line provides a linear approximation...
Find the equation of the tangent line to the graph y=x√ at x=4. y = On graph paper, sketch the graph and the tangent line using the x-values 3.5,4,4.5. The tangent line provides a linear approximation to x√ near x=4. Use this approximation to find approximate values for 4.5‾‾‾√ and 5√
In the figure, at each point A and B draw an approximate tangent line and then...
In the figure, at each point A and B draw an approximate tangent line and then use it to answer the following questions y=f(x) 4 2 3 4 5 6 (a) Is f'(x) greater at point A or at point B? Explain f'(x) is greater at point A. The slope of the tangent line is positive at A. f'(x) is greater at point A. The slope of the tangent line is negative at A f'(x) is greater at point B....
(1 point) Use linear approximation to approximate 36.4 as follows. Let f(x) = x. The equation...
(1 point) Use linear approximation to approximate 36.4 as follows. Let f(x) = x. The equation of the tangent line to f(2) at x = 36 can be written in the form y = mx + b. Compute m and b. m = b= Using this find the approximation for 36.4. Answer:
Use differentials to approximate the value of the expression. Compare your answer with that of a...
Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.) 26 using differentials using a calculator
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five...
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) V 126
Use the linear approximation of f(x) = sin(5x) at x = 0 to approximate sin(3). 15...
Use the linear approximation of f(x) = sin(5x) at x = 0 to approximate sin(3). 15 3 6 20 4
Use differentials to approximate the change in profit corresponding to an increase in sales (or production)...
Use differentials to approximate the change in profit corresponding to an increase in sales (or production) of one unit. Then compare this with the actual chang in profit. Function x-Value P=-0.2x2 + 200x - 80 X = 40 dp = dollars AP = dollars Need Help? Read it Watch Tak to a Tutor 4. [1/2 Points) DETAILS PREVIOUS ANSWERS LARAPCALC10 3.8.034. MY NOTES PRACTICE ANOTHER The revenue R for a company selling x units is R = 800x - 0.1x?...
1)
2)
3)
Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let f(x) = z² and find the equation of the tangent line to f(x) at x = 15. Using this, find your approximation for 15.22 Given the function below f(x) = -180x3 + 396 1. Answer in mx + b form. Find the equation of the tangent line to the graph of the function at x = L(2) Use the tangent line to approximate f(1.1)....
parta-
Use linear approximation, i.e. the tangent line, to
approximate as follows:Let f(x) = x 6.
The equation of the tangent line to f(x) at x = 2 can be written
in the form y = mx+b
where
is:
and where
is:
Using this, we find our approximation for 1.86is
Box 1: Enter your answer as a number (like 5, -3, 2.2) or as a
calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box...
(1 point) Use linear approximation, i.e. the tangent line, to approximate 15.3 as follows: Letf(x) = x2 and find the equation of the tangent line tof(x) at x = 15 . Using this, find your approximation for 15.32
(1 point) Use linear approximation, i.e. the tangent line, to approximate 15.3 as follows: Letf(x) = x2 and find the equation of the tangent line tof(x) at x = 15 . Using this, find your approximation for 15.32
In the figure, at each point A and B draw an approximate tangent line and then use it to answer the following questions y=f(x) 4 2 3 4 5 6 (a) Is f'(x) greater at point A or at point B? Explain f'(x) is greater at point A. The slope of the tangent line is positive at A. f'(x) is greater at point A. The slope of the tangent line is negative at A f'(x) is greater at point B....
(1 point) Use linear approximation to approximate 36.4 as follows. Let f(x) = x. The equation of the tangent line to f(2) at x = 36 can be written in the form y = mx + b. Compute m and b. m = b= Using this find the approximation for 36.4. Answer:
Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.) 26 using differentials using a calculator
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) V 126
Use the linear approximation of f(x) = sin(5x) at x = 0 to approximate sin(3). 15 3 6 20 4
Use differentials to approximate the change in profit corresponding to an increase in sales (or production) of one unit. Then compare this with the actual chang in profit. Function x-Value P=-0.2x2 + 200x - 80 X = 40 dp = dollars AP = dollars Need Help? Read it Watch Tak to a Tutor 4. [1/2 Points) DETAILS PREVIOUS ANSWERS LARAPCALC10 3.8.034. MY NOTES PRACTICE ANOTHER The revenue R for a company selling x units is R = 800x - 0.1x?...
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