please explain each in steps

Consider the curve " + 3ry + 32 - 5 The equation of the tangent line to the curve at the point (1, 1) has the form y = ma + b where m = and b Consider the surface F(x, y, z) - x z* + sin(3 24) -9 -0. Find the following partial derivatives dz The radius of a right circular cone is Increasing at a rate of 5 inches per second and its height is decreasing at a rate of 3 Inches per second. At what rate is the volume of the cone changing when the radius is 50 inches and the height is 30 inches? NOTE: The volume of a cone with base radius r and height / is given by V - Inch. cubic inches per second In a simple electric circuit, Ohm's law states that V = IR, where V is the voltage in Volts, I is the current in Amperes, and R is the resistance in Ohms. Assume that, as the battery wears out, the voltage decreases at 0.04 Volts per second and, as the resistor heats up, the resistance Is Increasing at 0.01 Ohms per second. When the resistance is 100 Ohms and the current is 0.04 Amperes, at what rate is the current changing? Amperes per second