1. Knowing that the sixth root of 64 is 2, estimate the sixth root of 68 by using the tangent line to the sixth root function (y = x6) at (64, 2) as an approximation to the function itself. (Remember that, when evaluating a fractional root without a calculator, take the root first and then apply the exponentiation. So, for example, to evaluate 275/3, take the cube root of 27 first to get 3, then raise that to the fifth power to get 243. That's as opposed to raising 27 to the fifth power (14,348,907) and then trying to figure out that its cube root is 243.)

1. Knowing that the sixth root of 64 is 2, estimate the sixth root of 68 by using the tangent line to the sixth root function (y = x6) at (64, 2) as an approximation to the function itself. (Remember that, when evaluating a fractional root without a calculator, take the root first and then apply the exponentiation. So, for example, to evaluate 275/3, take the cube root of 27 first to get 3, then raise that to the fifth power to get 243. That's as opposed to raising 27 to the fifth power (14,348,907) and then trying to figure out that its cube root is 243.)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Use a calculator to evaluate the expression, correct to four decimal places. (a) In(7) (b) In(24.3) (c) In(8 + V7)
Kindly asnwer ASAP
Question 6: Completely simplify. x2 (x+h)²
solve fr x and y in the simultaneous equations below; (87.17)^2=(x-1176382)^2+(y-1882965)^2 and (145.77)^2=(x-1776249)^2+(y-1883142)^2
A car travlining at 73mi/h then it begins to slow down at rate of 6mi/h every second. a. write the formula f that gives the speed of the car after x seconds. b what is the speed of the car after 8 seconds use the formula from part a.
Can you please help only help me with number 14
1. Find a real root of the equation f(x) = x³ + x? + x +7 = 0 correct to three decimal places. Answer x = -2.105
Can you please solve this problem and show all of the steps and say the correct letter
Find the nth root of (x³ = 8∠0)⅓
Show that an equation x³ -x-1=0 can be written as follows: 1 x²-1 (a) (b) x=1+ =g₁(x) X x²+x+1 -=8₂(x) Forg, and g₂ do iteration up to three steps starting with x = 1.5. Based on the result, decide the best expression for g and approximate the root.