Please give me some guidance for these problems.

Please do not give me just answers, I need real help. Please take a look at the problem 15.5.33, there are 2 parts there, please explain me each part as this is important for me to understand their connection.

Pease take a look at problem 14.3.48 , It is showing to find v(t). Could you please help me find r(t) as well for this problem?

The third problem has all questions written.

Thank you for you help in advance!

X 15.5.33 Consider the function f(x,y) = 4x4 - x2y + 2y2 + 9 and the point P( - 1,3). a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a vector that points in a direction of no change in the function at P. a. What is the unit vector in the direction of steepest ascent at P? (Type exact answers, using radicals as needed.) Enter your answer in the edit fields and then click Check Answer.14.3.48 Given an acceleration vector, initial velocity (Up.Vo,Wo), and initial position (Xo:yoZo) , find the velocity and position vectors for t 2 0. a(t) = (4,3t,21) , (up,Vo.Wo) = (25,0,0) , (Xp.yozo) = (0,0,0) What is the velocity vector? v(1) = (40 Enter your answer in the edit fields and then click Check Answer.Consider the function f(x,v)= 4x2 3y2 6 and the point ( 1,1). a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. I]. Find a vector that points in a direction of no change in the function at P. a. What is the unit vector in the direction of steepest ascent at P? Lt ("ype exact answers, using radicals as needed.) What is the unit vector in the direction of steepest descent at P? (It ("ype exact answers, using radicals as needed.) b. Which of the following vectors is in a direction of no change of the function at P? O A. (73,6) 0 B. {(18} 0 0. (6,8) Q) o. (3,43)