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Ghella [55]
3 years ago
9

Help me plz show work

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Answer:

I cant see the question

Step-by-step explanation:

The picture is just an error screen.

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Help with 5b please . thank you.​
Allushta [10]

Answer:

See explanation

Step-by-step explanation:

We are given f(x)=ln(1+x)-x+(1/2)x^2.

We are first ask to differentiate this.

We will need chain rule for first term and power rule for all three terms.

f'(x)=(1+x)'/(1+x)-(1)+(1/2)×2x

f'(x)=(0+1)/(1+x)-(1)+x

f'(x)=1/(1+x)-(1)+x

We are then ask to prove if x is positive then f is positive.

I'm thinking they want us to use the derivative part in our answer.

Let's look at the critical numbers.

f' is undefined at x=-1 and it also makes f undefined.

Let's see if we can find when expression is 0.

1/(1+x)-(1)+x=0

Find common denominator:

1/(1+x)-(1+x)/(1+x)+x(1+x)/(1+x)=0

(1-1-x+x+x^2)/(1+x)=0

A fraction can only be zero when it's numerator is.

Simplify numerator equal 0:

x^2=0

This happens at x=0.

This means the expression,f, is increasing or decreasing after x=0. Let's found out what's happening there. f'(1)=1/(1+1)-(1)+1=1/2 which means after x=0, f is increasing since f'>0 after x=0.

So we should see increasing values of f when we up the value for x after 0.

Plugging in 0 gives: f(0)=ln(1+0)-0+(1/2)0^2=0.

So any value f, after this x=0, should be higher than 0 since f(0)=0 and f' told us f in increasing after x equals 0.

8 0
2 years ago
Is this the right answer if not please tell me whats the right answer
Rufina [12.5K]
Yeah it looks like it’s right
6 0
2 years ago
Read 2 more answers
How do i factor this trinomial 5y^2 — 7y — 6 ​
scZoUnD [109]

Answer:

(5y+3) x (y-2)

Step-by-step explanation:

5y^2-7y-6

5y^2+3y-10y-6

y(5y+3(-2(5y+3)

(5y+3) x (y-2)

5 0
2 years ago
Meredith works as a computer programmer for a large insurance company. She is paid a salary every other week. Her paycheck befor
sveticcg [70]
She is paid every OTHER week.....so she is gonna get paid : 52/2 = 26 times

26(2633.65) = 68474.90

plus she gets a bonus of 10% of her yearly salary
68474.90 (1.10) = 75322.39 rounds to 75322 <===
5 0
3 years ago
Alyssa just got a new credit card that offers both an introductory APR and a
PilotLPTM [1.2K]

Answer:

6.1%

Step-by-step explanation:

a p e x

6 0
3 years ago
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