4. ( points) Find the linear approximation L(x) to y = f(x) near x = a for this function [ Hint: L(x) = (a) + () (x -6)]: f (x) = V1 + 3x at a=0 5. (8 points) A campground owner has 1400 meters of fencing. He wants to enclose a rectangular field bordering a river, with no fencing needed along the river. Find the dimensions of the field that will maximize the area. anolenamib hiw Encoding to sosin snupe s mott bolourienoo ad of of qol nogo as diewe zod A to qu guibned bon zomoo foot or to doso most onnupe s mo gadito yd boloutlenos ai xod alift eved nno xod s doug sadr amulov lesgual ode bart zabi 6. (8 points) Air is being pumped into a spherical balloon so that its volume increases at a rate of 2 cm3/seconds. How fast the radius of the balloon increasing when the diameter is 6 cm? (Hint: Volume of a sphere = = mr3, where r is the radius of the sphere.) dating int novis out ovo