Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. Ex = 6 − 5x, (0, 1) The equation ex = 6 − 5x is equivalent to the equation f(x) = ex − 6 + 5x = 0. F(x) is continuous on the interval [0

Answers

Answer 1

Answer:

some part of your question is incomplete

attached below is the complete question

Answer :

F(0) = -5  < 0

F(1) = e - 1 > 0

since the functions : f(0) and f(1) have opposite signs then there is a 'c' whereby F(c) = 0 ( intermediate value theorem fulfilled )

Hence there is a root in the given equation : [tex]e^x = 6 - 5x[/tex]

Explanation:

using Intermediate value Theorem

If F(x) is continuous and f(a) and f(b) have opposite signs then there will be a'c'E (a,b)  whereby F(c) = 0

given equation : [tex]e^x = 6 - 5x[/tex]   on (0,1)

and F(x) = [tex]e^x - 6 + 5x = 0[/tex]

This shows that the F(x) is continuous on (0,1)

F(0) = [tex]e^0 - 6 + 5(0)[/tex]  = -5 which is < 0

F(1) = [tex]e^1 -6 + 5(1)[/tex] = e -1 > 0  and e = 2.7182

since the functions : f(0) and f(1) have opposite signs then there is a 'c' whereby F(c) = 0 ( intermediate value theorem fulfilled )

Hence there is a root in the given equation : [tex]e^x = 6 - 5x[/tex]

Use The Intermediate Value Theorem To Show That There Is A Root Of The Given Equation In The Specified

Related Questions

Don't break or crush mercury-containing lamps because mercury powder may be released.
A) TrueB) False

Answers

A.

It would be released without a doubt so be careful!

Hope this helps :)

Seth wants to build a wall of bricks. Which equipment will help him in the process?
OA masonry pump
OB. hacksaw
OC. mortar mixer
OD. pressurized cleaning equipment

Answers

Answer:

it's B I think

Explanation:

hopefully that helps you

Answer: C

Explanation: A mortar mixer is the equipment that would help Seth in the process of building a wall of bricks. A mortar mixer is used to mix the mortar, which is the binding material used to hold the bricks together. It ensures the mortar is properly mixed to the right consistency for laying the bricks.

(a) At a simple interest rate of 12% per year, determine how long it will take $5000 to increase to twice as much. (b) Compare the time it will take to double if the rate is 20% per year simple interest.

Answers

Explanation:

10000=5000(1.12^x)

2=1.12^x

(log_1.12)(2)=x

x= about 6.1163

10000=5000(1.2^x)

2=1.2^x

(log_1.2)(2)=x

x= about 3.8019

compare them by saying like 20% will be 6.12/3.8 times faster

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