Implicit differentiation 7 questions Already post this questions

Given r + y' - 16y = 4, answer the following questions. a.) Find all values of y that correspond to x = 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 comma separated list if necessary. c.) For each value of y', find the equations of the tangent lines. y = y y = Determine - dy do given the equation ry + sec(x) = sin(y). dy d Use implicit differentiation to find y'(x) for sin(4xy) = = + y. y'(x) = Consider a closed rectangular box with a square base of side , and height y. a. Find an equation for the surface area of the rectangular box. S(I, y) = b. If the surface area of the rectangular box is 216 square feet, find d dy when x = 6 feet and y = 6 feet. dy The volume of a right circular cone of radius a and height y is given by V = 2 Tx y. Suppose that the volume of the cone is 1567 cm . Find - when x = 6 and y = 13. dy dar The number of cars produced when a dollars is spent on labor and y dollars is spent on capital invested by a manufacturer can be modeled by the equation 55x 3 y 3 = 660. A dy a. Find a formula in terms of a and y for d dy dy at the point (27,8). Round to 4 decimal places. b. Find the value of of du Find the slope (as & reducedfraction) of the tangent line to the curve 2x2 - 4xy - 4y = 26 at the point ( - 3, - 2)