9 questions

dy Use implicit differentiation to find y2 + 4x3 = 8y -2x2 dy Find the slope (in reduced fraction form) of the tangent line to the curve -4x2 + xy - 2y' = - 66 at the point (4, - 1). Find the slope of the tangent line to the curve x - xy + y' = 3 at the point ( - 1, 1). Ollection 1... A manufacturer can produce 4590 cell phones when a dollars is spent on labor and y dollars is spent on capital. The equation that relates a and y is 85x Ty i = 4590. a. Find a formula, in terms of a and y, for dy dy b. Find the value of of at the point (81, 16). Round to 4 decimal places. Question Help: Video ) Written F..-- The volume of a right circular cone of radius a and height y is given by V = 3wxy. Suppose that the volume of the cone is 1567 cm. Find d dy when a = 6 andy = 13. dy Consider a closed rectangular box with a square base of side x, and height y. a. Find an equation for the surface area of the rectangular box. S(x, y) = dy when z = 6 feet and b. If the surface area of the rectangular box is 216 square feet, find y - 6 feet. dy da Use implicit differentiation to find y' (x) for sin(ry) = = + y. y'(z) = Given x + y' - 16y = 4, answer the following questions. a.) Find all values of y that correspond to a = 4. Separate your answers by commas if necessary and enter exact value(s). y= b.) Find the slope of the tangent line at each value of y found in part a. Enter your answers as a comma separated list if necessary. y' dy Determine given the equation xy + sec(x) = sin(y). dy