Hello, can you please help me find problems that can be solved using exact solution and numerical solution. the problem must be from an actual book please cite your references by providing theseFormat: Last name, Initials. (Year). Book title (Edition, Page Number)Below is an e.g:Determine the velocity of progress with the given equation: D = 20t + 5/t+1 when t = 4 seconds. Exact solution: (Solving by differentiation)Consider the function y = x³. What is the slope or dy/dx at point x = 3y = x²Let x₁ = 2.9999 and xf = 3.0001Numerical solution: (Solving using finite difference approximation of the derivative)dy_Vf-yi f(xf) - f (x₂)xf - Xxf - x₂dxdydxdydxf'(3) = 3(3) ²f'(3) = 27== 3x²(3.0001)³ - (2.9999) ³3.0001 - 2.9999f'(3) = 27.00000001

Answered: Determine the velocity of progress with…

Math

Calculus

Determine the velocity of progress with the given equation: D = 20t + 5/t+1 when t = 4 seconds.

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...

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Question

Hello, can you please help me find problems that can be solved using exact solution and numerical solution. the problem must be from an actual book please cite your references by providing these

Format: Last name, Initials. (Year). Book title (Edition, Page Number)

Below is an e.g:

Determine the velocity of progress with the given equation: D = 20t + 5/t+1 when t = 4 seconds.

Exact solution: (Solving by differentiation)
Consider the function y = x³. What is the slope or dy/dx at point x = 3
y = x²
Let x₁ = 2.9999 and xf = 3.0001
Numerical solution: (Solving using finite difference approximation of the derivative)
dy_Vf-yi f(xf) - f (x₂)
xf - X
xf - x₂
dx
dy
dx
dy
dx
f'(3) = 3(3) ²
f'(3) = 27
=
= 3x²
(3.0001)³ - (2.9999) ³
3.0001 - 2.9999
f'(3) = 27.00000001

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