Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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- Consider the point P=(1,2) on the graph of y = x + m= Let Q = (1+h, 1+h+ 1th) be another point on the same curve. What is the slope of the line passing through P and Q? What is the significance of this slope? m is the slope of the tangent line to y. m = m is the slope of the normal line to y. 1 m = x h² +2 h(h+1) ' m = h² +2 h(h+ 1) ' h (h+1) ' m is the slope of the tangent line to y at point P when h approaches 0. h (h+1) ' m is the slope of the tangent line to y at point P when h approaches 1. m is the slope of the secant line passing through P and Q, and has nothing to do with the tangent line.arrow_forwardA group of children were asked to draw a circle the size of a nicket, without having a nickel to see. In the data below, x= Incomes (in thousands of $) of the the family and y= the diameter of the circle drawn. Test for a significant correlation between income and drawn nickel size. Income (thousands of $) Coin size (mm) 33 25 20 23 36 16 47 22 22 34 14 27 23 20 45 27 24 39 23 91 22 42 12 84 18 46 18 45 22 90 13 54 22 45 18 90 16 54 19 You can copy the data into StatCrunch, Excel, or Google Sheets, by highlighting the data, right-clicking, and selecting Copy (or Ctrl • c), then open a StatCrunch, Excel, or Google Sheets spreadsheet, click on the first cell, and right-clicking and selecting Paste (or Ctri + v). Test the claim that there is significant correlation at the 0.02 significance level. Retain at least 3 decimals on all values. a) Identify the correct hypotheses. Họ:r = 0 HA:r +0 Ho:4 = 0arrow_forward
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