Consider the height from the prior problem h(x, y)=4x2+y2. consider the constraint relation f(x, y,z)=4x2+y2-z=0. starting at the point x=1,y=0,z=4, can we find a function x[y, z] which satisfies the relation f(x[y, z],y, z)=0 in some neighborhood of y=0,z=4? if so what are the partial derivatives of x[y, z] with respect to y (keeping z fixed) and z (keeping y fixed)?

Two parallel lines are crossed by a transversal. what is the value of x? x = 40 x = 70 x = 110 x = 130

The weights of players in a basketball league are distributed normally. the distance (d) of each player's weight (w) from the mean of 86 kilograms was computed as follows: d = |w - 86| if d is greater than 7 for approximately 5% of the players, what is the approximate standard deviation of the players' weights? a. 1.75 kilograms b. 3.5 kilograms c. 4.3 kilograms d. 7 kilograms

On a cm grid, point p has coordinates (3,-1) and point q has coordinates (-5,6) calculate the shortest distance between p and q give your answer to 1 decimal place