Heat flows normal to isotherms, curves along which the temperature is constant. Find the line along which heat flows through the point (5.2) when the Isotherm is along the graph of 2x7+ /= 54 The equation of the line along which heat flows is y =(]. Find the indicated root of the given equation to at least four decimal places by using Newton's method. Compare with the value of the root found using a graphing calculator, 2x* - 3x3 - 2x7 - 7x - 4=0: (between = 1 and 0) The solution obtained by using Newton's method Is approximately O. (Round the final answer to four decimal places as needed, Round all intermediate values to seven decimal places as needed) The e and y-coordinates of a moving particle are given by the parametric equations below. Find the magnitude and direction of the velocity for the specific value of 1 Sketch the curve and show the velocity and its components Find the magnitude of the velocity of the particle for the specific value of t. The magnitude is approximately ONE (Type an integer or decimal rounded to tap decimal places as needed) Assume that all variables are implicit functions of time t. Find the indicated rate. x2 + 5y2 + 6y =17; dt dx =7 when x = 3 and y = - 2; find dy dt dy dt (Simplify your answer.) When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm/ min. At what rate is the plate's area increasing when the radius is 40 cm? The rate of change of the area is | ]cm / min. (Type an exact answer in terms of x}