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 1557 views around the world You can reuse this answer Creative Commons License