Recent content by Khayyam89

Homework Statement If xsin\pix = \intf(t) dt, where is a continuous function, find f(4). b=x2, a=0 Homework Equations The Attempt at a Solution I assumed that the problem dealt with the Fundamental Theroem of Calculus so I began by saying that g(x)=xsin\pix but that is as far as it...

Homework Statement Show that the equation 2x-1-sin(x) = 0 has exactly one real root. Homework Equations The Attempt at a Solution I first used the Intermediate Value Theorem to prove that there exists at least one c such that f '(c)=0. The next step requires Rolle's Theorem to...

Wait, are you considering that abs(...) = absolute value of the sum?

Homework Statement Essentially, the question asks to use the mean value theorem(mvt) to prove the inequality: abs(sina - sinb) \leq abs(a - b) for all a and b The Attempt at a Solution I do not have a graphing calculator nor can I use one for this problem, so I need to prove that the...

Homework Statement Essentially, the question asks to use the mean value theorem(mvt) to prove the inequality: \left|sin a -sin b \right| \leq \left| a - b\right| for all a and b The Attempt at a Solution I do not have a graphing calculator nor can I use one for this problem, so I need...

Thank you, I understand now.

Homework Statement I need in proving that the derivative (d^{n}/dx^{n})(sin4x + cos4x) = 4n-1 cos(4x + n\pi/2) The Attempt at a Solution I understand implicit differentiation in basic problems but I get stump with the n exponent in the differentiation symbol; am I suppose to treat it as...