prove that 2/pi is less than or equal to (sinx)/x which is less than or equal...

prove that 2/pi is less than or equal to (sinx)/x which is less than or equal to 1. for x is in (0,pi/2]

Expert Solution

Colby Messinger answered 1 year ago

solve tan^2 x =1 where x is more than or equal to 0 but x is less than or equal to pi

solev tan^2 x =1 where x is more than or equal to 0 but x is less than or equal to pi

Expand in Fourier series: f(x) = x|x|, -L<x<L, L>0 f(x) = cosx(sinx)^2 , -pi<x<pi f(x) =...

Expand in Fourier series: f(x) = x|x|, -L<x<L, L>0 f(x) = cosx(sinx)^2 , -pi<x<pi f(x) = (sinx)^3, -pi<x<pi

The potential barrier is defined by V(x) = ((A^2-(x^2)*(b^2))^0.5 where x is less than or equal to...

The potential barrier is defined by V(x) = ((A^2-(x^2)*(b^2))^0.5 where x is less than or equal to A/b. First we want to sketch V(x) Then we run a particle into it wth mass m and energy E (which is less than A). Now that we have run the particle into it we are asked to derive an expression for the probability of penetration in terms of D = E/A and sin (y) = bx/A. Finally, we are to evaluate our expression...

Prove that: a) |sinx|<= |x| b) x = sin x has only one solution in real...

Prove that: a) |sinx|<= |x| b) x = sin x has only one solution in real number using mean value theorem

Find the absolute maximum of g(x,y)=x^2+y^2-2y+1 on the disk x^2+y^2 less than or equal to 4....

Find the absolute maximum of g(x,y)=x^2+y^2-2y+1 on the disk x^2+y^2 less than or equal to 4. Solve 2 ways, parametrization and lagrange multipliers. Please solve using both methods!

A. Let f(x) be: x+(12/(1-x)) if x is less than or equal to -3 x+3 if...

A. Let f(x) be: x+(12/(1-x)) if x is less than or equal to -3 x+3 if -3 < x and x is less than or equal to zero ln(x) if 0< x is less than equal to 5 (x-5)/5+ln5 if x>5 answer and explain these answers B. Is f differentialble at x=5? justify your answer by evaluating the one sided limits of lim as x approches 5 (f(x)-f(5))/x-5

Represent f(x)=sinx as the sum of its Taylor series centered at x=pi/6. Find the radius of...

Represent f(x)=sinx as the sum of its Taylor series centered at x=pi/6. Find the radius of convergence.

Let [x] be the greatest integer less than or equal to x. Then at which of the following point(s) the function f(x) = x cos (π(x + [x])) is discontinuous?

Let [x] be the greatest integer less than or equal to x. Then at which of the following point(s) the function f(x) = x cos (π(x + [x])) is discontinuous? (a) x = 2 (b) x = 0 (c) x = 1 (d) x = -1

The density of a random variable X is given by f(x)=(3x^2, o less than x less...

The density of a random variable X is given by f(x)=(3x^2, o less than x less than 1, or f(x)=0, otherwise Let Y=e^x (a) find the density function of Y(b) find E(Y) two ways:(i)using the density of Y and (ii) using the density of X

Find the Fourier series of the following functions f(x) = sinx+x^2+x, −2 < x < 2

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