Register

GO Classes Test Series 2023 | Calculus | Test 1 | Question: 19

• edited by
527 views

1 Answer

4 votes
4 votes

The equation $x^{5}+x+1=0$ has a solution in the interval We check the endpoints of all the intervals:
$$
f(0)=1, \quad f(1)=3, \quad f(-1)=-1, \quad f(-2)=-33, \quad f(2)=35
$$
The only interval where the function changes sign is $[-1,0]$ and the intermediate value theorem guarantees the solution to exist there.
 

 

• edited by
User Avatar
Voting & Accepting an answer helps improve the community
Answer:
← PreviousNext →
← Previous in categoryNext in category →

Related questions

6 votes
6 votes
1 answer
3
GO Classes asked Aug 28, 2022
667 views
GO Classes Test Series 2023 | Calculus | Test 1 | Question: 13
Suppose $g(x)$ is a polynomial function such that $g(-1)=4$ and $g(2)=7$. Then there is a number $c$ between $-1$ and $2$ such that $g(c)=1$ $g^{\prime}(c)=1$ $g(c)=0$ $g^{\prime}(c)=0$
Suppose $g(x)$ is a polynomial function such that $g(-1)=4$ and $g(2)=7$. Then there is a number $c$ between $-1$ and $2$ such that$g(c)=1$$g^{\prime}(c)=1$$g(c)=0$$g^{\p...
User Avatar
4 votes
4 votes
1 answer
4
GO Classes asked Aug 28, 2022
503 views
GO Classes Test Series 2023 | Calculus | Test 1 | Question: 16
The sum of three positive numbers is $12$ and two of them are equal. Find the largest possible product. $86$ $64$ $48$ $72$
The sum of three positive numbers is $12$ and two of them are equal. Find the largest possible product.$86$$64$$48$$72$
User Avatar
Link Copied!