x3 (b) Calculate the arc length of the curve y = 12 from x = 1 and x = 2. %3D

Find the points where the tangent line to the curve y = 3x² - x³ is horizontal. Select one or more: O a. (0,0) O b. (2,4) Oc. (0, -2) O d. (0,2)

Solve for the derivative

x=3t²+8t, y=2t²-4t, whent=-2. 2. Find the equation of the tangent line to the curve. x=

Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

A particle travels along a straight line with a velocity v=(12 - 3t)m/s, where t is in seconds. When t=1 s , the particle is located 10 m to the left of the origin. Determine the distance in meters that the particle travels during the time period of t=0 to t=10 s.

Find the slope of the tangent line to the curve y = (1+4x)7 at the point x = 2.

Find an equation of the tangent line to the curve y = 5 – 2x – 3x² at (1,0). y =

determine the equation of the line tangent to the curve