Adam Janky

Most popular questions and responses by Adam Janky
  1. calculus

    Suppose that the proportion P of voters who recognize a candidate's name t months after the start of the campaign is given by the following equation. (Round your answers to three decimal places.) P(t) = 11t t2 + 100 + 0.14 (a) Find the rate of change of P

    asked on March 10, 2011
  2. calculus

    The data entry speed (in entries per minute) of a data clerk trainee is represented by the following equation, where x is the number of hours of training he has had. S = 10 0.8x + 4 , 0 ≤ x ≤ 100 What is the rate at which his speed is changing and what

    asked on March 10, 2011
  3. calculus

    The number of units of weekly output of a certain product is represented by the equation shown below, where x is the number of workers on the assembly line. There are presently 68 workers on the line. Q(x) = 200x + 4x2 (a) Find Q'(x) and estimate the

    asked on March 10, 2011
  4. calculus

    Find the coordinates of points where the graph of f(x) has horizontal tangents. As a check, graph f(x) and see whether the points you found look as though they have horizontal tangents. f(x) = −x3 + 6x2 − 9x + 13 (x, y) = ( ? ) (smaller x-value) (x, y)

    asked on March 10, 2011
  5. calculus

    Consider the following. y = (2x2 + 5)(x3 − 25x) at (5, 0) (a) At the indicated point, find the slope of the tangent line. (b) Find the instantaneous rate of change of the function.

    asked on March 10, 2011
  6. calculus

    At the indicated point for the function, find the following. A graphing utility's numerical derivative feature can be used to check your work. y = (x3 + 2x)3 at x = 3 (a) Find the slope of the tangent line. (b) Find the instantaneous rate of change of the

    asked on March 10, 2011
  7. calculus

    Write the equation of the tangent line to the curve at the indicated point. As a check, graph both the function and the tangent line. f(x) = x7 − 7 at x = −1 7 x7

    asked on March 10, 2011
  8. calculus

    Consider the following. y = x2 − 9x x2 + 5x at (3, − 3 4 ) (a) At the indicated point, find the slope of the tangent line. (b) At the indicated point, find the instantaneous rate of change of the function.

    asked on March 10, 2011