Please do number 5 and explain step by step and thanks
3. Let x3 +xy = cos y-9. (a) Find dy/dz by implicit differentiation. (b) Find an equation of the tangent line to the curve 3 xã+ xy = cos y-9 at point (-2,0) 4. Let f(x) = In x. (a) Find the linearization L(x) for f() near a-1. (b) Use the linearization in (a) to approximate In(1.03) 5. The graphs of functions f and g are shown below. (a) Find f'(1), g'(1), f(3), g(3). |Use the fact that f'(a) is the slope of tangent at a.] (b) Let h(z) = z33(x2). Find h'(1). (c) Let k(z) f(g(x)). Find k'(1). 6. A balloon is risint at 1 in ouoling along a straight r
