- #1
Neil6790
- 20
- 0
Hello there.
I actually need help with several problems
1) If f(x)=4x^2-4 x+3, then f'(5) = 36
Use this to find the equation of the tangent line to the parabola y=4x^2-4x+3 at the point (5,83). The equation of this tangent line can be written in the form y = mx+b where
m= ?
and
b= ?
2)For what values of x does the graph of f(x)=6x^3-9x^2-216x+18 have a horizontal tangent?
3)f(x) = x^{8}h(x)
h(-1) = 5
h'(-1) = 8
I need to calculate f'(-1)
4) A particle moves along a straight line with equation of motion s=t^{3}-3t^{2} Find the value of t (other than 0 ) at which the acceleration is equal to zero.
5) A particle moves along a straight line and its position at time t is given by s(t)=2t^3-15t^2+24t where s is measured in feet and t in seconds.
Find the velocity (in ft/sec) of the particle at time t=0
The particle stops moving (i.e. is in a rest) twice, once when t=A and again when t=B where A < B
A=?
B=?
What is the position of the particle at time 10?
What is the TOTAL distance the particle travels between time 0 and time 10?
Thank you,
Neil
I actually need help with several problems
1) If f(x)=4x^2-4 x+3, then f'(5) = 36
Use this to find the equation of the tangent line to the parabola y=4x^2-4x+3 at the point (5,83). The equation of this tangent line can be written in the form y = mx+b where
m= ?
and
b= ?
2)For what values of x does the graph of f(x)=6x^3-9x^2-216x+18 have a horizontal tangent?
3)f(x) = x^{8}h(x)
h(-1) = 5
h'(-1) = 8
I need to calculate f'(-1)
4) A particle moves along a straight line with equation of motion s=t^{3}-3t^{2} Find the value of t (other than 0 ) at which the acceleration is equal to zero.
5) A particle moves along a straight line and its position at time t is given by s(t)=2t^3-15t^2+24t where s is measured in feet and t in seconds.
Find the velocity (in ft/sec) of the particle at time t=0
The particle stops moving (i.e. is in a rest) twice, once when t=A and again when t=B where A < B
A=?
B=?
What is the position of the particle at time 10?
What is the TOTAL distance the particle travels between time 0 and time 10?
Thank you,
Neil