Take home

#2 Hint:

#3 Hint:

You can use this trig identity
\sin x \cos x = \frac12  \sin 2x

#5 Hint:

Consider f(t) = g(t) - h(t) , where g and h are the position functions of the two runners.

#6 Hint:

\frac{d}{dx} |x| = sgn x = \frac{x}{|x|}

#7 Hint:

Induction would be much much harder than L'Hopital.

#8 (b)Hint:

Use \int_a^b f(t)dt =-\int_b^a f(t)dt

#8 (d)Hint:

Divide the square root of x in to each number in the numerator to make it easier to see what the anti derivative should be.

#9 Hint:

Draw a diagram look at the triangles.

  • John Robinhūdas

    Thank you i use it right now for one thing.THANK YOU :)