Differentiate.
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Calculate the average rate of change of f on each interval. What happens to this average rate of change as the interval decreases in length?f(x) = x3
(i) [4.9, 5.1] (ii) [4.99, 5.01] (iii) [4.999, 5.001]
A. (i) 25.03; (ii) 25.0003; (iii) 25.000003; approaches 25. B. (i) 10; (ii) 10; (iii) 10; approaches 10. C. (i) 1.5002; (ii) 0.1500002; (iii) 0.015; approaches 2. D. (i) 75.01; (ii) 75.0001; (iii) 75.000001; approaches 75.
Evaluate the trigonometric function of the given quadrantal angle. If the value is undefined, write "undefined."sin (-19?)
A. 0 B. undefined C. 1 D. -1
Simplify. Assume that no denominator is zero and that 00 is not considered.
A. 
B. 16m5p2
C. 
D. 16mp
Restaurateur Denny Valentine is evaluating two sites, Raymondville and Rosenberg, for his next restaurant. He wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). Denny plans to test this hypothesis using a random sample of 81 families from each suburb. His null hypothesis is:
Question 8 options: