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anonymous
 3 years ago
Find the function f(x) satisfying the given conditions. (HINT: You are finding the value of C)
anonymous
 3 years ago
Find the function f(x) satisfying the given conditions. (HINT: You are finding the value of C)

This Question is Closed

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1Find \[\int\limits_{}^{}f'(x) dx=f(x)+C, \text{ where } (f)'=f'\]

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1Integrate the function given to get from f' to f.

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1Don't forget when you integrate, put +C.

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1\[\int\limits_{}^{}f'(x) dx=\int\limits_{}^{}(4x^21) dx\] You may find it easy to use the following: \[\int\limits_{}^{}x^n dx =\frac{x^{n+1}}{n+1}+C, n \neq 1\] This is because \[(\frac{x^{n+1}}{n+1})'=(n+1) \cdot \frac{x^{n+11}}{n+1}=x^{n+11}=x^n\] And you may also want to use \[\int\limits_{}^{}k dx=kx+C \text{ where} K, C \text{ are a constant} \]

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1This is because (kx+C)'=(kx)'+(C)'=k(x)'+0+k(x)'=k(1)=k

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.0Are you familiar with the idea of `Integration` yet? Or has it only been introduced to you as the process of finding the `antiderivative` so far?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@Best_Mathematician can u help?

Loser66
 3 years ago
Best ResponseYou've already chosen the best response.0so, when you have f' (4x^2 +1) take integral to get back the original function. . when take integral, the solution for that method always a family solution. in case they give you the special solution, that means they want you to pick out just special C in set of family solution . take integral of f' you have f(x) = 4x^3/3 x +C and when they give you f(0) =2 just plug 0 into the function you' ve just got. to find C f(0) = 4 *0^3/3 0 +C = 2 > C =2 that's it

Loser66
 3 years ago
Best ResponseYou've already chosen the best response.0sorry , one more step. plug C back to f(x) = 4x^3/3  x +2

Loser66
 3 years ago
Best ResponseYou've already chosen the best response.0I 'm supper dummy at teaching, hope you can understand what i mean

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so plugging 2 back into f(x) = 4x^3/3  x + 2 right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i got 32/3 or 10.6666

Loser66
 3 years ago
Best ResponseYou've already chosen the best response.0hey, you misunderstand the concept, they ask you to find out C, and you got C =2 that's it. just plug C =2 into the function, nothing to do more.
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