Solve all please quickly vote your answer b) As a spherical balloon is being inflated its radius (in centimeters) after tminutes is given by r(t) = 3√√t+8, where 0 St≤ 10. What is the rate ofchange with respect to t of r(t) at t = 8?a) Find an equation of the tangent line, at the designated point, to each of thefollowing:i) f(x) In(4+5x-2x³), x=0.ii)y2 3xy 5, P(2,1).b) Find the x-coordinates of all points on the graph of y=x3 + 2x²-4x+5at which the tangent line is parallel to the line 2y+8x-5=0.

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Since you have posted multiple question in this question which are not interlinked so i have solved…

b) As a spherical balloon is being inflated its radius (in centimeters) after t minutes is given by r(t) = 3√√t+8, where 0