Linear Approximation of a Function Near a Point. A very important and useful approximation: For x near 0, (1+x)= 1the Assuming that x is near 0, use the above approximation to find an approximation for the following functions. 1 f(I) = 1 + 2x f(x) = V5 - 81 = M In Einstein's corrected formula, mass has the value m = where M represents the mass of an object at rest, v represents the velocity of the object, and c is the speed of light. If we assume that v is small compared with c then, we can fin an approximation to the mass of the object to be: mThe Differential of a Function. Find the differential of the given function. Then, evaluate the differential at the indicated values. If y = 6x- + 15x + 4 then the differential of y is dy Note: Type dx for the differential of a Evaluate the differential of y at co = 1 , de = 0.5 dy dr 0.5 Note: Enter your answer accurate to 4 decimal places if it is not an Integrer.111e Differential cfa Function. Find the differential of the given funeen. Then, evaluate the differential at the indicated values. If y = match] then the differential of y is gay =E] Note: Wpe ctr: for the differential of .7: Evaluate the differential of y at an = 14.13T2 , is = [1.6 5 Note: Enter your answer accurate to 4 decimal places if it is not an Integrer. fly 3:1\" n':l:=t}