B- For the following data, find f '(2.55), f '(2.7), and f '(2.65) by using the appropriate formula in below for each one. (15Mark) 37 2 X 2.5 Y 1.58114 2.55 1.59687 2.6 2.65 2.7 2.75 1.61245 1.62788 1.64317 1.65831 f₁ = Ji-1+1+1 2h .fi = -6fi-1+20fi+36fi+1-12fi+2+2fi+3 24h fi = fi-2-8fi-1+8fi+1-fi+2 12h

Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.

Q/ Consider the following four points to interpolate for y = f(3.2) using: 1.0 0.1111 2.0 0.0625 3.0 0.0400 4.0 0.0278

Q/ Consider the following four points to interpolate for y = f(3.2) using: 1.0 0.1111 2.0 0.0625 3.0 0.0400 4.0 0.0278 1. Direct Fit Substitution.