i need major help on VECTOR

[kfmav3]

hi can some one please help me with this assignment it would be a great help

thank you in advance

 

[stapel]

hi can some one please help me with this assignment it would be a great help

Question 8 (You should be able to answer this question after studying Unit 6.)

This question concerns the function \(\displaystyle \,f(x)\, =\, 2x^3\, -\, 10x^2\, +\, 6x\, +\, 1.\)

(a) Find the stationary points of \(\displaystyle \,f,\,\) including their \(\displaystyle \,y\)-coordinates.

(b) Use the First Derivative Test to determine the nature of the points that you found in part (a).

(c) Sketch the graph of \(\displaystyle \,y\, =\, f(x),\,\) indicating the points that you found in part (a) and the \(\displaystyle \,y\)-intercept.

(d) Find the greatest and least values taken by \(\displaystyle \,f\,\) on the interval \(\displaystyle \, [0,\, 5].\)

Question 9 (You should be able to answer this question after studying Unit 6.)

An object moves along a straight line such that its displacement, \(\displaystyle \, s\, \) meters from the origin \(\displaystyle \, O,\,\) at time \(\displaystyle \,t\,\) seconds, is given by:

. . . . .\(\displaystyle s\, =\, 8t^3\, -\, 33t^2\, +\, 27t,\, \). .\(\displaystyle (t\, \geq\, 0)\)

(a) Find expressions for the velocity and acceleration of the object at time \(\displaystyle \,t.\)

(b) Find any times at which the velocity is zero.

thank you in advance

It's always discouraging when the student not only shows no work of his own, but doesn't even type out the question, leaving absolutely everything for the tutor to do. Sorry, but I'm not gonna do absolutely everything. :shock:

If you are unable even to get started on any aspect of either exercise, then your first step is to begin studying Unit 6, which covers all of this material. Once you have studied this, working out all the examples for yourself (so you're sure of every step), please attempt these exercises. If you get stuck, you can then reply with a clear listing of your efforts so far. Thank you!

Note: None of this has anything to do with vectors.