Question

differential to estimate the value (26)^(2/3)

Answer 1

The answer is 8.78. I used my calculator.

Answer 2

i guess you are supposed to use \(27\) since \(27^{\frac{2}{3}}=9\)

Answer 3

idea is to linearize \[\sqrt[3]{(27-x)^2}\] and then replace \(x\) by 1

Answer 4

Use differentials to estimate the value of the indicated expression.
Then compare your estimate with the result given by a
calculator.

Answer 5

take the derivative, replace \(x\) by 27 to find the slope, then use the point slope formula to find the equation of the line tangent to the graph of \(y=\sqrt[3](27-x)^2}\) at the point \((27,9)\)

Answer 6

that should be \(y=\sqrt[3]{27-x)^2} \)