Help please!!! Find F (0) for the function f (x)=e 3x+2. Round to the nearest ten-thousandth.
am lost
https://angel.spcollege.edu/AngelUploads/QuestionData/082a8813-ae6f-4e8a-b845-f8df950dc1ff/513643223177D22F1612.png# {655281aa-d9ee-4f04-a16f-10bd635e1241}
thats the link to the problem
That was an incomplete response. My computer froze. f(0) = f(x) when x = 0. So to evaluate f(0) for any function, f(x), simply plug in x = 0. That holds true for whatever is "taking the place of the x." So if it said f(7), you'd plug in 7. Or for f(1.56), you'd plug in 1.56.
sorry computer froze had to reboot also
so my answer would be 2.00
Could you show what you did? That's not what I got. I'm assuming the (3x + 2) after the e is an exponent?
am not sure what i did
should it be 6x
yes
Plug in x = 0 and solve. e^(3(0) + 2) = e^(0 + 2) = e^2...
wow I dont understand
Alright, first, just look at the exponent. Pretend for a second that the problem is f(0) = 3x + 2 and it asks you to solve. Can you solve 3x + 2 when x = 0?
ok
0+2
So, the answer is 2, yes?
ok thank u
yes 2
So you can figure out that f(0) = 3x + 2 = 2. Now, it's the same thing, but you have one more step. Instead of the problem being 3x + 2, it's f(x) = e^3x+2. So solve (3x+2) when x = 0, then that number is your exponent for e.
3(2)+6=12
I don't understand where this 6 is coming from. The equation is e^3x+2. Plug in 0 = x and solve. It would help me more to help you if you showed your work so I can see where you're going wrong.
3x2
Why are you multiply 3 and 2? It's not 3 times 2, the "X" is a variable. It doesn't stand for multiplication, but "3 times x." X is an unknown.
oh that is what i thought i had to do what take the 3 times the 2 because i thought i had to use it to the power and thats where the 6 came in
No. It's 3x + 2, and the problem gives you x = 0. So plug in 0 = x, and solve. Then take that and raise e to that power.
so then if i did that I would take 3x+5= 3(0)+2= 5
3 * 0 isn't 3. Anything multiplied by 0 is 0.
yes i know that so that would give me 2
Correct. but that isn't your final step. You still have e^2. So raise e to the second power, then round according to what the problem asks of you, and voila. You have it.
You solved for the exponent, but don't forget the e. You still have to do that part.
ok
7.38
You question requires that you round to the nearest ten-thousandth place. That is the hundredth place.
7.3800
What is e^2 to 7 decimal places?
I believe it would be 7.4
sorry I know I am frustrating you just have not done this kind of math before
You're not frustrating me. It's ok. The best way for me to help you is if you go step-by-step. I want you to write out the answer to e^2 to 7 decimal places.
0000074
Not quite, no. I assume to get e^2, you are using a calculator? Write out EXACTLY what the calculator says when you input e^2.
ok when i input e^2 in the calculator i get 7.38905609893065
Good. Now the ten thousandth place is 4 places after the decimal. To round off to the ten-thousandths place, round that decimal to 4 places.
that would be where the 0 is correct?
Yes. That is the 4th place after the decimal. But remember your rounding rules...
7.3891
Yes. Correct.
thank u. I am so sorry for all the trouble
No trouble at all. As long as you understand what you just did.
yes finally
Good
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