1)for what value(s) of x is the tangent line of the graph of x ,f(x)=6x^3+9x^2+2x+54 , parallel to the line y=2x+1 If there is more than one value of...

1)for what value(s) of x is the tangent line of the graph of x ,f(x)=6x^3+9x^2+2x+54 , parallel to the line y=2x+1If there is more than one value of x , list them as a comma separated list. 2) A particle moves along a straight line and its position at time t is given by s(t)=t^4-7t+16 where s is measured in feet and t in seconds. * Find all values of t for which the particle is at rest. (If there are no such values, enter none . If there are more than one value, list them separated by commas.) *Use interval notation to indicate when the particle is moving in the positive direction. (If needed, enter inf for . If the particle is never moving in the positive direction, enter none .) *Find the total distance traveled during the first 8 seconds.