Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Number of points.
The number of points in the rectangle {(x,y)|\(-10 \leq x \leq 10 and -3 \leq y \leq 3\)} which lie on the curve \(y^{2}=x+sinx \) and at which the tangent to the curve in parallel to x axis, is
Equation
Roots
Algebra
But try the problem first...
Answer:4
B.Stat Objective Problem 713
Challenges and Thrills of Pre-College Mathematics by University Press
First hint
here we see two graphs \(y^{2}=x+sinx\) and rectangle region
Second Hint
four such points here in which tangent is parallel to x axis
Final Step
or, number of required points=4.
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From the video below, let's learn from Dr. Ashani Dasgupta (a Ph.D. in Mathematics from the University of Milwaukee-Wisconsin and Founder-Faculty of Cheenta) how you can shape your career in Mathematics and pursue it after 12th in India and Abroad. These are some of the key questions that we are discussing here:
Answer is 2