Prove Equation Has At Least One Real Solution

Joined
Jun 27, 2021
Messages
5,386
Reaction score
422
Calculus
Section 2.5

How about 60 (a & b)?

Screenshot_20220522-083737_Samsung Notes.jpg
 
60.
prove that ln(x)=3-2x at least one real solution in interval of length 0.01=>
the interval [x, x+0.01]

using calculator, we get:
x ≈ 1.34996


MSP12041dbiche38a999fd5000030dgg7ahhe406da2


From the graph we can see that the root lies between 1.34 and 1.35=>[1.34 , 1.35] which is an interval of length 0.01
 
60.
prove that ln(x)=3-2x at least one real solution in interval of length 0.01=>
the interval [x, x+0.01]

using calculator, we get:
x ≈ 1.34996


MSP12041dbiche38a999fd5000030dgg7ahhe406da2


From the graph we can see that the root lies between 1.34 and 1.35=>[1.34 , 1.35] which is an interval of length 0.01

I see that it is easier to show the prove via graphing on the xy-plane. We end our Sunday here. I will keep my word in terms of solving 4 Intermediate Value Theorem problems when time allows (weather permitting). It is like an oven in NYC. By the way, I AM NOT A FAN OF THE SUMMER HEAT.
 

Members online

No members online now.

Forum statistics

Threads
2,521
Messages
9,844
Members
697
Latest member
RicoCullen
Back
Top