2. [0/1 Points] DETAILS PREV MY NOTES ASK YOUR TEACHER Find the derivative of the function. f(t) = 4(t4 - 2)5 1) = 8013 ( x4 - 2 4 X12. [0/1 Points] DETAILS PREVIOUS ANS MY NOTES ASK YOUR TEACHER PRACTIC Find the derivative of the function. 11/2 g(s) = S UT + S 11 r + 1 g'(s) = X 4 2 5x1. [0/1 Points] DETAILS PREVIO MY NOTES ASK YOUR TEACHER Let y = f(x), where f(x) = 8x2 + 8. Find the differential of the function. dy Need Help? Read It Watch Viewing Saved Work Rev 2. [0/1 Points] DETAILS PREVIO MY NOTES ASK YOUR TEACHER Let y = f(x), where 11 f ( x ) = Find the differential of the function. dy = X3. [-/1 Points] DETAILS TANAPC Let y = f(x), where f (x) = x+ 6 X Find the differential of the function. dy = Need Help? Read It Watch It 4. [-/1 Points] DETAILS TANAPCA Let y = f(x), where f( x ) = 5 X - 3 Find the differential of the function. dy =a. [on points] TANAPCALCBmmzz. Use differentials to approximate the quantity. (Give your answer correct to 4 decimal places.) \\/63.7 x Estimating the Amount of Paint Required A coat of paint of thickness 0.08 cm is to be applied uniformly to the faces of a cube of edge 27 cm. Use differentials to find the approximate amount of paint (in cm3) required for the job, correct to the nearest cubic centimeter. Hint: The volume of a cube of edge 5 is V = 53. Need Help? e. [on em TANNCAEMM. Growth of a Cancerous Tumor The volume of a spherical cancerous tumor is given by the following equation. V(r) = 21.13 If the radius of a tumor is estimated at 1.4 cm, with a maximum error in measurement of 0.004 cm, use differentials to approximate the error (in cm3) that might occur when the volume of the tumor is calculated. (Round your answer to four decimal places.) :l: x cm3 .0. [on pain... TANAPCA.CBR103.7.033. Effect of Supply of Radios on Price The supply equation for a certain brand of radio is given as follows where x is the quantity supplied and p is the unit price in dollars. p=s(x) =0.3\\/)_(+ 6 Use differentials to approximate the change in price when the quantity supplied is increased from 12,100 units to 12,600. (Give your answer correct to the nearest cent.) X