1 (2AB+AC) , and k be a point Let P be a point inside a triangle ABC such that AP on side AC, such that 3 AT TC .Point P is on the line segment connecting B and T. Find the value of k . 1 (2AB+AC) , and k be a point Let P be a point inside a triangle ABC such that AP on side AC, such that 3 AT TC .Point P is on the line segment...
(1 point) Let F = xi+ (x + y) 3+ (x – y+z) k. Let the line l be x = 4t – 3, y = — (5 + 4t), z = 2 + 4t. = (20, Yo, zo) where F is parallel to l. (a) Find a point P P= Find a point Q = (x1, Yı, z1) at which F and I are perpendicular. Q - Give an equation for the set of all points at which F...
(I point) Let F=21+(z + y) j + (z _ y + z) k. (1+4t). y = 4 + 2t, z = _ (1+t). Let the line l be x =- (a) Find a point P-(zo, 30, zo) where F is parallel to 1. Find a point Q (which F and I are perpendicular. Q= and l are perpendicular Give an equation for the set of all points at which F and l are perpendicular. equation: (I point) Let F=21+(z...
1. Let P(L, K) 214K3/4 be a Cobb-Douglas production function. Find the MRTS at the point (3, 5) Find the total differential, dP at (81, 16) if dL .2 and dK--.1. 1. Let P(L, K) 214K3/4 be a Cobb-Douglas production function. Find the MRTS at the point (3, 5) Find the total differential, dP at (81, 16) if dL .2 and dK--.1.
5. Suppose that a curve C is given as a graph of a differentiable function y)Let the point P(zo,yo) ¢ C be given. If the point Q e C is the closest point on the curve to P, show that the line PQ is perpendicular to the tangent line of C at Q. 5. Suppose that a curve C is given as a graph of a differentiable function y)Let the point P(zo,yo) ¢ C be given. If the point Q...
if (-4,2) is a point on the graph of y=f(x), find b such that (3,b) is on the graph of y=f(x-7). If (-4,2) is a point on the graph of y f(x), find b such that (3,b) is on the graph of y f(x-7). bType an integer or a simplified fraction.)
(1 point) Find the area of the quadrangle with vertices (4,2), (-5,5), (-3,-5), and (3, -3). - ------------- - Area = -- - - --- - - - - -- --- - -- 10 --- --- -- ---- - -- - -- -- -- - -- -- - -- --
Please write answer in fraction, and show all work. 1. Let P(L, K MRTS at the point (3, 5) 12L1/4K3/4 be a Cobb-Douglas production function. Find the Find the total differential, dP at (81, 16) if dL = 2 and dK = -.1 1. Let P(L, K MRTS at the point (3, 5) 12L1/4K3/4 be a Cobb-Douglas production function. Find the Find the total differential, dP at (81, 16) if dL = 2 and dK = -.1
2) Let B = {(1, 3, 4), (2,-5,2), (-4,2-6)) and B/-(( 1, 2,-2), (4, 1,-4), (-2, 5, 8)) be 5 ordered bases of R2. Let x = | 8 | in the standard basis of R2. a) Use a matrix and x to find L18 ]B. b) Use a matrix and [X]B to find [x)B/. c) Use a matrix and [X]B/ to find x in the standard basis of R2, d) Draw a diagram of the steps a), b), and...
Let L1 be the line passing through the point P 2, 2,-1) with direction vector a=[-1, 1,-2]T, and let L2 be the line passing through the point P2-(-5, -5,-3) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that dQ1Q2) d. Use the square root symbol' where needed to give an exact value for your answer. d 0 Q1-(0, 0, 0)...