If the polar curve is of the form: {eq}r=a \csc \theta {/eq} where a is any real number, then the graph of this curve will be a straight line. We can convert this in the Cartesian equation, then we will see that it is the equation {eq}y=a {/eq} Answer and Exp...
Identify the conic and sketch its graph. r=\frac{5}{1+\textrm{sin}\theta} 1. Find the eccentricity, identify the conic, give an equation of the directrix and sketch the conic. { r = \frac{1}{3} -3sin(\theta) } Identify the conic as a circle or an...
For single variate functions, the stationary points are solutions of the equation, {eq}\dfrac{df}{dx}=0 {/eq}, while for multivariate functions a system of equations arises since there is one condition for each variable, {eq}\dfrac{\partial f}{\parti...
The measure of error is given by the following Equation (4).(4)E=12∑Qq=1∑Mk=1ykq−okq2 The direction in which weights are modified in backpropagation technique is negative of E gradient with respect to each single parameter weight matrices Wo and Wh. It has been observed that the ...
having a force constant (kpr) 1000 kJ mol−1nm−2. Genion [52] was employed to remove charges on the protein by the addition of counter ions. The energy minimization (n steps = 5000) was carried out using the steepest descent approach for each protein–ligand complex. Electrostatic for...