Question #31517 Calculus Applications of Derivatives Using Implicit Differentiation to Solve Related Rates Problems 1 Answer salamat Jun 2, 2017 y= 1/4 x^2 + 3 Explanation: (dy)/(dx) = 1/2 x y = int dy = int 1/2 x dx y = 1/4 x^2 + c plug in y = 3, x = 2 in the above equation to find c 3 =1/4 (2)^2 + c 3 = c therefore it equation is y= 1/4 x^2 + 3 Answer link Related questions If a cylindrical tank with radius 5 meters is being filled with water at a rate of 3 cubic... If the radius of a sphere is increasing at a rate of 4 cm per second, how fast is the volume... If y=x^3+2x and dx/dt=5, how do you find dy/dt when x=2 ? If x^2+y^2=25 and dy/dt=6, how do you find dx/dt when y=4 ? How do you find the rate at which water is pumped into an inverted conical tank that has a... How much salt is in the tank after t minutes, if a tank contains 1000 liters of brine with 15kg... At what approximate rate (in cubic meters per minute) is the volume of a sphere changing at the... At what approximate rate (in cubic meters per minute) is the volume of a sphere changing at the... What is the rate of change of the width (in ft/sec) when the height is 10 feet, if the height is... What is the total amount of water supplied per hour inside of a circle of radius 8 if a... See all questions in Using Implicit Differentiation to Solve Related Rates Problems Impact of this question 1744 views around the world You can reuse this answer Creative Commons License