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Consider the function f (x) and g (x), b...

Consider the function `f (x) and g (x),` both defined from `R to R`
`f (x) = (x ^(3))/(2 )+1 -x int _(0)^(x) g (t) dt and g (x) =x - int _(0) ^(1) f (t) dt, ` then
The number of points of intersection of `f (x) and g (x)` is/are:

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
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  2. Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx an...

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  5. Let f(x) be a non-constant twice differentiable function defined on (-...

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  7. Consider the function f (x) and g (x), both defined from R to R f (x...

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  9. Let f (x) be function defined on [0,1] such that f (1)=0 and for any ...

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  11. Let f (x) be function defined on [0,1] such that f (1)=0 and for any ...

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  12. Let f (a)(x) =In x and for n ge 0 and x gt 0 Let f (a)(x) = int (0)...

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  14. Let f :R to [(3)/(4), oo) be a surjective quadratic function with line...

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  15. Let f :R to [(3)/(4), oo) be a surjective quadratic function with line...

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  16. Let g (x ) = x ^(C )e ^(Cx) and f (x) = int (0)^(x) te ^(2r) (1+3t ^(2...

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