By Editor: Deborah Barker

**Read Online or Download 25 Beautiful Homes - December 2011 PDF**

**Best nonfiction_6 books**

**Paul on Marriage and Celibacy: The Hellenistic Background of 1 Corinthians 7, 2nd Edition**

Foreword via Raymond F. Collins / Paul is generally noticeable as one of many founders of Christian sexual asceticism. As early because the moment century C. E. church leaders seemed to him as a version for his or her lives of abstinence. yet is that this an accurate interpreting of Paul? What precisely did Paul train at the topics of marriage and celibacy?

**Why Humans Like to Cry: The Evolutionary Origins of Tragedy**

People are the single species who cry for emotional purposes. We weep at tragedies either in our personal lives and within the lives of others--remarkably, we even cry over fictional characters in movie, opera, novels, and theatre. yet why is weeping particular to humanity? what's diversified in regards to the constitution of our brains that units us except all different animals?

**Extra info for 25 Beautiful Homes - December 2011**

**Example text**

Since f 0 (1) = 0, we will round off our figure so that there is a horizontal tangent directly over x = 1. Last, we make sure that the curve has a slope of −1 as we pass over x = 2. Two of the many possibilities are shown. 21. Using Definition 2 with f (x) = 3x2 − 5x and the point (2, 2), we have 3(2 + h)2 − 5(2 + h) − 2 f(2 + h) − f(2) (12 + 12h + 3h2 − 10 − 5h) − 2 = lim = lim h→0 h→0 h→0 h h h 3h2 + 7h = lim = lim (3h + 7) = 7 h→0 h→0 h f 0 (2) = lim So an equation of the tangent line at (2, 2) is y − 2 = 7(x − 2) or y = 7x − 12.

This enables us to sketch the graph for x ≥ 0. Then we use the fact that f is an even function to reflect this part of the graph about the y-axis to obtain the entire graph. Or, we could consider also the cases x < −3, −3 ≤ x < −1, and −1 ≤ x < 0. 7. Remember that |a| = a if a ≥ 0 and that |a| = −a if a < 0. Thus, x + |x| = + 2x if x ≥ 0 0 if x < 0 and y + |y| = + 2y 0 if y ≥ 0 if y < 0 We will consider the equation x + |x| = y + |y| in four cases. (1) x ≥ 0, y ≥ 0 2x = 2y (2) x ≥ 0, y < 0 2x = 0 x=y x=0 (3) x < 0, y ≥ 0 0 = 2y (4) x < 0, y < 0 0=0 0=y Case 1 gives us the line y = x with nonnegative x and y.

7 DERIVATIVES AND RATES OF CHANGE 23. (a) Using Definition 2 with F (x) = 5x/(1 + x2 ) and the point (2, 2), we have ¤ (b) 5(2 + h) −2 F (2 + h) − F (2) 1 + (2 + h)2 F (2) = lim = lim h→0 h→0 h h 0 = lim 5h + 10 5h + 10 − 2(h2 + 4h + 5) −2 + 4h + 5 h2 + 4h + 5 = lim h→0 h h h2 h→0 = lim h→0 −2h2 − 3h h(−2h − 3) −2h − 3 −3 = lim = lim = h(h2 + 4h + 5) h→0 h(h2 + 4h + 5) h→0 h2 + 4h + 5 5 So an equation of the tangent line at (2, 2) is y − 2 = − 35 (x − 2) or y = − 35 x + 16 . 5 25. Use Definition 2 with f (x) = 3 − 2x + 4x2 .