Calculus please help Thank you.I need 1-6.Show ur work

Find the equation of the tangent line to the curve y = x3 + 1 at (-1, 0) (3 pts.) Find the derivative of the function y = x2 + 3x using the definition of derivative.(3 Definition of derivative f (x) = lim f(xth)-f(x) h-0 h Find the derivative of y = 2xcosx - 2sinx (3 pts.) Find the first derivative of y = (2+3, 3x-1 (3 pts.) Find y if x6 + y = 1 (5 pts.) Find the limit lim sin3xsin5x (3 pts.) x-0 x2 The position of a particle is given by the equation s = f(t) = t3 - 27t2 + 240t (6 Where t is measured in seconds and s in centimeters. (a) Find the velocity at time t. What is the velocity after Is? (b) When is the particle at rest? (c) When is the particle moving in the positive direction, when is the particle movin (d) Draw a diagram to represent the motion of the particle. (e) Find the total distance traveled by the particle during the first 15 seconds. (f) Find the acceleration at time t and after 10 seconds