Business Calculus

Q1

Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) =3 +2 Inx; x=1 V=Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = Inx ; x=e3 y = (Type an exact answer.)A student claims that the line tangent to the graph of x} = 8" at x = 3 passes through the point (2,0). Is she correct? Will the line tangent at x = 4 pass through (3,0)? Explain. Is the student correct in saying that the line tangent to the graph of x} = e x at x = 3 passes through the point [2.0]? _, No in? Yes Cannot be determined Will the line tangent at x: 4 pass through (3,0)? Explain. IE the line tangent at x=4 E pass through the point [3.0) because the tangent line is I: the line passing through at (3.0} and [4,t(4}). Astudent claims that the line tangent to the graph of g[x}= In x at): = 4 passes through the origin. Is she correct? Will the line "(:3 9' tangent at x = 5 pass Through the origin? Explain. 1 El Is the student correct in saying that the line tangent to the graph of g(x] = In x at x = 4 passes through the origin? 0 Yes D No 0 Cannot be determined Use graphical approximation methods to find the point(s) of intersection of f(x) and g(x). f(x) = (Inx)