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  4. The tangent to the graph of a continuous function y=f(x) at the point with abscissa x=a forms with the X -axis an angle of (π/3) and at the point with abscissa x=b an angle of (π/4), then what is the value of the integral ∫ limitsab ex f'(x)+f''(x) d x ? (where f'(x) the derivative of f w.r.t. x which is assumed to be continuous and similarly f''(x) the double derivative of f w.r.t. X )

Q. The tangent to the graph of a continuous function at the point with abscissa forms with the -axis an angle of and at the point with abscissa an angle of , then what is the value of the integral
(where the derivative of w.r.t. which is assumed to be continuous and similarly the double derivative of w.r.t. )

UPSEE UPSEE 2017 Report Error

Solution:

Given, the tangent to the graph of function at the point forms with the -axis an angle of .

and the tangent to the graph of function at the point forms with the -axis an angle of .

and
Now,





and

Questions from UPSEE 2017

1. Let
For what values of A and B, the function is continuous throughout the real line ?

2. Let
where is such that
Then the function is continuous at if is chosen as

3. The is

4. Let and then as

5. For what interval of variation of , the identity is true ?

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