Your input: approximate the integral ∫10sin3(x)+1−−−−−−−−−√ dx ∫01sin3⁡(x)+1 dx using n=5 n=5 trapezoids. The trapezoidal rule states that ∫baf(x)dx≈Δx2(f(x0)+2f(x1)+2f(x2)+…+2f(xn−1)+f(xn)) ∫abf(x)dx≈Δx2(f(x0)+2f(x1)+2f(x2)+…+2f(xn−1)+f(xn)) , where Δx=b−an Δx=b−an . We have that a=0 a=0 , b=1 b=1 , n=5 n=5 . Therefore, Δx=1−05=15…

Continue Reading

SOLUTION Your input: approximate the integral ∫101×5+7−−−−−√3 dx∫011×5+73 dx using n=4n=4 rectangles.    Now, we just evaluate the function at these endpoints: f(x0)=f(a)=f(0)=7237=0.52275795857471 f(x0)=f(a)=f(0)=7237=0.52275795857471   4f(x1)=4f(14)=3271692–√3(7169)23=2.09093460413808 4f(x1)=4f(14)=32716923(7169)23=2.09093460413808   2f(x2)=2f(12)=41515−−√3⋅223=1.0439647043117 2f(x2)=2f(12)=415153⋅223=1.0439647043117   4f(x3)=4f(34)=3274112–√3(7411)23=2.06792304223835 4f(x3)=4f(34)=32741123(7411)23=2.06792304223835   f(x4)=f(b)=f(1)=12=0.5

Continue Reading

Kaomoji: Japanese Emoji. Kaomoji (顔文字) is a traditional Japanese emoticon form built up of Japanese letters and grammar punctuations, and are used to show excitement in texting and Online chatting. The word kaomoji is also known as Japanese emoticons

Continue Reading

Lenny Faces Created By Others 205 online (♥ ͟ʖ♥) ᕙ(♥ ͟ʖ♥)ᕗ |*v*| ( ͡° ͜ʖ ͡°) ( ͡° ͜ʖ ͡°) ( ͡° ͟ʖ ͡°) ¯\_(□◡□)_/¯ ( ͡° ͜ʖ ͡°) ( ͡° ͜ʖ…

Continue Reading