Please solve each and show work clearly please

QUIZ#2 Please sign (or type) your name below the following honor pledge: I have completed this quiz by myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz. Name 1. (10 POINTS) Differentiate usinglimit definition \"y = lim w nix Ax>D Ax f(x) 2x2 5x+10 2. (30 POINTS) Find the derivative (use power, product, or quotient rule as needed): 31 = 3x3 2x2 69:2 y = x ms\"): 7 (1 cos x) y __ sinzx 3. (30 POINTS) Find the derivative (use power rule for the function if needed) y = (1 3x)3(2x2 + 3)5 y = W y : eI + 517100 4. (10 POINTS) Write the equation of the line tangent to the given function at the given x value y: (x+2)2+3; atx=0 AND 2 5. (10 POINTS) Find the function which derivative is f'(x) = 5(1 + ex)4ex 6. (10 POINTS) The height (feet) of a particle at time t seconds is t3 -4t2 + 8t . Find the height, velocity and acceleration of the particle when t = 1, and 2 seconds