This is a differential equations problem. We are to work backwards and determine the function f(x) when given f "(x) and initial values.
<span>f ''(x) = 12x^2 + 6x − 4, when integrated with respect to x, yields:
x^3 x^2
f '(x) = 12------ + 6----- - 4x + C, or 4x^3 + 3x^2 - 4x + C, and
3 2
x^4 x^3 x^2
f(x) = 4------- + 3------- - 4------ + Cx + D, or f(x)=x^4 + x^3 - 2x^2 + Cx + D
4 3 2
Now, because f(0)=5, 5=0^4 + 0^3 -2(0)^2 + C(0) + D, so that D=5.
Determine D in the same manner: Let x=1 and find the value of C.
Then the solution, f(x), is x^4 + x^3 - 2x^2 + Cx + 5. Replace C with this value and then you'll have the desired function f(x).</span>
Answer: 99% confidence interval would be 
Step-by-step explanation:
Since we have given that
Sample size = 30
Sample mean = $1450
Standard deviation = $220
We need to find the 99% confidence interval.
So, z = 2.58
So, confidence interval would be
Hence, 99% confidence interval would be
Answer:
40 + 4.50x =112
4.5x = 72
x =16
Step-by-step explanation:
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Answer:
MEH
Step-by-step explanation:
THE DEMON WILL BE UN AMERICAN IN ORDER FOR A ICE BALL AND THE OTHER IS A SIMP OF A BAT OR SOMETHING THAT IS NOT A GOOD SHOE OR SOMETHING LIKE THIS ONE THAT HAS BEEN TRYING FOR THE PAST THREE YEARS OF THE HW ERA AND THE ONLY ONE I HAVE SOMETHING THAT IS NOT THAT MUCH YOUR JUST BROKE
First add 11 and 4 because you need to know how many he had in total 11+4=15 then divide 15 by 3 and then you have you answer 15/3=5.
There are 5 model cars in each pack.
