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How do you use a linear approximation to estimate #g(0.9)# and #g(1.1)# if we know that #g(1)=3# and #g'(x)=sqrt(x^2+15)#?

How do you sketch the graph of #y=5x^332x^2+29x+30#?

How do I estimate the area under the graph of #f(x) = sqrt x# from x=0 to x=4 using four approximating rectangles and right endpoints?

Question #a7600

Why are simple machines not 100% efficient?

Suppose that I don't have a formula for #g(x)# but I know that #g(1)
= 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?