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Assuming cos t equals 45 and cos w equals 89 both t and w are positive and both t and w determine a terminal point in quadrant 1 then what best describes the relations?
t> w
Digital signal prossesing matlab solution manual by sanjit k mitra 3rd edition?
Determine the N-point DFT X[k] of the N-pont sequence x[n]=Cos(w*n),0<=n<=N-1,for w not equals to 2*pi*r/n,0<r<N-1.
Is there an algebraic formula for determining an angle of reflection using only the angle of the ray and the angle of the wall?
Let r be the angle of the ray, and R the angle of reflection.If the wall is flat (i.e., if its angle is 0), then we know that r + R = Pi/2.Now suppose the wall has angle w. Then rotate the diagram by -w,so that the wall is now flat again, and the angles of the ray and itsreflection are now r - w and R - w, respectively.We then have (r - w) + (R - w) = Pi/2, which should give you enoughinformation to find R.
Y'' plus y equals cotx diff eq?
In order to solve this inhomogeneous differential equation you need to start by solving the homogeneous case first (aka when the right hand side is just 0). The characteristic equation for this differential equation is r²+1=0 or r²=-1 which means that r must be equal to ±i. Therefore, the general solution to this homogeneous problem Is y=c1*sin(x)+c2*cos(x) where c1 and c2 are constants determined by the initial conditions. In order to solve the inhomogeneous problem we need to first find the Wronskian of our two solutions. _________|y1(x) y2(x) | __| sin(x) cos(x) | W(y1, y2)= |y1'(x) y2'(x) | = | cos(x) -sin(x) | = -sin(x)²-cos(x)²= -1 Next, we calculate the particular solution Y(x)=-sin(x)* Integral(-1*cos(x)*cot(x)) + cos(x)*Integral(-1*sin(x)*cot(x)) =sin(x)*Integral(cos²(x)/sin(x)) - cos*Integral(cos(x)) =sin(x)*(ln(tan(x/2)) + cos(x)) -cos(x)*sin(x)=sin(x)*ln(tan(x/2)) Finally, to answer the entire equation, we add the particular solution to the homogeneous solution to get y(x)=sin(x)*ln(tan(x/2)) + c1*sin(x)+c2*cos(x)
What are the 3 R?
Reading, (w)righting and (a)rithmetic.
