Using differentials, find the approximate error (in cm2) and percentage error in the area of a square 400 cm on a side if an error of 0.09 cm is made in measuring the edge. error (m2 percentage error % (a) Find the differential dy. y = COS(xX) dy = (b) Evaluate dy for the given values of x and dx. (Round your answer to three decimal places.) X = W H dx = 0.01. dy =The edge of a cube is measured to be 4.00 inches with a possibie error of :04]? in. Using differentials, nd the approximate error {in square inches] and percentage error in the surface area. error in2 percentage error % Using differentials, find the approximate percentage error in the volume and in the surface of a sphere of radius 6.00 cm, if an error of +3 mm is made in measuring the radius. percentage error in volume % percentage error in surface %dP = The power P (in watts) delivered to a resistor is P = 40.0/-. If / changes from 2.7 A to 2.8 A, determine the approximate change in P (in W). WThe resistance in a certain wire is R = 40.0 + 0.08072. If Tchanges from 50.2\"F to SD.5F, find the approximate change in R {in 0). {Round your answer to two decimal places.) 0 Find the differential of the function. = D 3 sin (90) OV =The resistance in a (ertain wire is R = 500 + O'OSDTZ. If Ti; measured to be SDJDF with a possible error of :BDF, use differentials to find the approximate maximum error (in m and percentage error in R. (Round your answers to two decimal places.) maximum error 0 percentage error \"A