Chapter 2.4, Problem 45E

Consider the function Y = (X*Z)0.5. At what point is the intersection of the line Z = - 1.4X + 30 with the contour line Y = 10? Graph the functions and their intersection

Directions: Show all work in a neat and organized manner. Be sure to use correct notation and use equal signs appropriately. Clearly indicate your answers. 1. Find the slope and an equation of the tangent line to the graph f(x) = 3x4 - 7x at the point (2,10).

Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second hand is 15cm long. Use t=0 to represent the moment the second hand begins it's cycle at the top of the clock, and let y(t) represent the vertical distance above the center of the clock when t is in seconds. Graph the function, explaining how the values of A,B,C,D each give information about the graph of the function.