popmystar
popmystar popmystar
  • 16-05-2022
  • Mathematics
contestada

Show that the equation x^3 + x - 3 = 0 has a solution between 1 and 2

Respuesta :

LammettHash
LammettHash LammettHash
  • 16-05-2022

When x = 1:

1³ + 1 - 3 = -1

When x = 2:

2³ + 2 - 3 = 7

Since f(x) = x³ + x - 3 is continuous, it follows from the intermediate value theorem that for some c in the interval (1, 2), we have f(c) = 0, since f(1) < 0 < f(2).

Answer Link

Otras preguntas

When the biceps brachii acts as the prime mover, the ___________ muscle assists as a synergist.
Explain how temperature and precipitation are affected by latitude and the sun's rays. Explain.
Is the answer 4/5 ? Can someone help please ?
What are the 3 important health tools to address heart disease
Use the diagram to find the measure of the given angle. Given angle: PRQ
Line segment CD has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segment C’D. What is the length of C’D.
Photo by Harpel Write a compound-complex sentence that describes this picture.
You just purchased a 400-L rigid tank for a client who works in the gas industry. The tank is delivered pre-filled with 3 kg of air at a temperature of 25C. Ass
QUICK! 75 POINTS !!Select all that are part of the solution set of csc(x) > 1 and over 0 ≤ x ≤ 2π.
Myrtle took out a 3-year loan for 2050$ at a computer retailer to be paid back with monthly payments at 12% apr compounded monthly. If the loan offers no paymen