1. [-16 Points] DETAILS LARCALCET7 11.3.037. MY NOTES ASK YOUR TEACHER Consider the following. u = (5, 5), v = (2, a) (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v. Show My Work (Required) 0 What steps or reasoning did you use? Your work counts towards your score. You can submit Show my work an unlimited number oflimest Uploaded F'le \"9 "'5 maximum] No Files to Display \"9 Upload File Show My Work has not been graded yeti 2- [-17 Points] DETAILS LARCALCET? 10.3.036. MY NOTES ASK YOUR TEACHER Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to confirm your results. (If an answer does not exist, enter DNE.) x=t2t+9, y=t33t Horizontal tangents (X; Y) = ( ) smaller XValue (X, y) = ( ) larger xevalue Vertical tangent (x,y)=() 1. [-/8 Points] DETAILS LARCALCET7 13.4.009. MY NOTES ASK YOUR TEACHER Consider the following. f ( x, y) = 4x - 7y (a) Find f(4, 3) and f(4.1, 3.05) and calculate Az. f ( 4 , 3 ) = f( 4.1, 3.05) = AZ = (b) Use the total differential dz to approximate Az. dz = Show My Work (Required) ? What steps or reasoning did you use? Your work counts towards your score. You can submit show my work an unlimited number of times. Uploaded File (10 file maximum) No Files to Display Upload File Show My Work has not been graded yet. 2. [-/9 Points] DETAILS LARCALCET7 12.3.014. MY NOTES ASK YOUR TEACHER The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 5ti + tj + +2k t = 3 (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = S(t) = a(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. V(3) = a(3) =1. [-/5 Points] DETAILS LARCALCET7 13.3.071. MY NOTES ASK YOUR TEACHER Find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously. f( x, y) = x2 + 5xy+ y2 - 36x - 27y+35 (x, y) = ( Show My Work (Required) ? What steps or reasoning did you use? Your work counts towards your score. You can submit show my work an unlimited number of times. Uploaded File (10 file maximum) No Files to Display Upload File Show My Work has not been graded yet. 2. [-/8 Points] DETAILS LARCALCET7 12.2.023. MY NOTES ASK YOUR TEACHER Find r'(t), r"(t), r'(t) . r"(t), and r'(t) x r"(t). r(t ) = >thi - 3tj + =+3 k (a) r'(t) (b) r"(t) (c) r'(t) . r" (t) (d) r'(t) x r"(t)