Plz solve with answer clearly

Assume that all variables are implicit functions of time t. Find the indicated rate. dx x2 + 5y2 +2y=55; = 14 when x = 4 and y= -3; find dy dt dy dt (Simplify your answer.) The electric resistance R (in $2) of a certain resistor as a function of the temperature T (in .C) is R= 2.000 +0.004T . If the temperature is increasing at the rate of 0.110 C/s, find how fast the resistance changes when T = 100 C. Set up the problem by finding dR dR at = at A plane flying at an altitude of 3.0 mi is at a direct distance D = 19.0 + x from an airport control tower, where x is the horizontal distance to the tower. If the plane's speed is 350 mi/h, how fast is D changing when x - 9.3 mi? D is changing at a rate of |mi/h. (Do not round until the final answer. Then round to the nearest ten as needed.) The shadow of a 28-m high building is increasing at the rate of 20 cm/min when the shadow is 17 m long. How fast is the distance from the top of the building to the end of the shadow increasing? Let a = the length of the shadow, b = the height of the building, and c - the distance from the top of the building to the end of the shadow, How can the distance between the building and the shadow be found? O A. Add a to b to find c. B. Use the Pythagorean theorem to find c. O C. Subtract a from b to find c. O D. Multiply a and b to find c, The distance from the top of the building to the end of the shadow is increasing by (Type an integer or a decimal, Round to the nearest integer as needed.) A metal cube dissolves in acid such that an edge of the cube decreases by 0.30 mm/min. How fast is the volume of the cube changing when the edge is 7.90 mm? The volume is changing at a rate of | |mm /min. (Round to the nearest integer as needed.)