Ask a New Question

Asked by college student

Find a function f and a number a such that for all x>0
f(x) =

a=
x
2+∫ (f(t) /t^2 )dt =2√x
a

for all x>0.
5 years ago

Answers

Answered by oobleck
well, you know that ∫ 1/√t dt = 2√t
maybe that will help get you started.
5 years ago
There are no AI answers yet. The ability to request AI answers is coming soon!

Submit Your Answer


We prioritize human answers over AI answers.

If you are human, and you can answer this question, please submit your answer.

Related Questions

Find a function f and a number a such that x 2+∫ (f(t)/t^(5)) dt=6x^(−2) a f(x)... For the following function find f(-2.9) and f(0) f(x)={(2x+7, -5<=x<-3),(-(3)/(4)(x+2)^(2)+3, -3<=x... Find a function f such that f '(x) = 3x3 and the line 3x + y = 0 is tangent to the graph of f. f(x)... Find the value of the function y=3x2−21 when x=4 .(1 point) y= . Find a function g(x) such that all the conditions of the fixed point theorem are satisfied on [0,1] Use this function and find the x-intercepts by factoring; then show how the value of the discriminan... Find f(3) for the function in the Table. | x | -4 |-1| 0 | 2 | |f(x)| -5 | 1 | 3 | 7 | Now che... Find each function value. h(x) = x^2 - 8x + 1 h(-1) plug in My answer is 8. The correct an... 1. Find f^-1 for the function f(x)=3srtx-2 +8 2. Find the domain and range of f^-1 where f(x) = 1/... Find the function that would produce a derivative of y = x. Prove your results.
Submit Your Answer

Question

Find a function f and a number a such that for all x>0
f(x) =

a=
x
2+∫ (f(t) /t^2 )dt =2√x
a

for all x>0.

Ask a New Question
Archives Contact Us Privacy Policy Terms of Use