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1. (a) Give an example of a function, f(x), that has an inflection point at (1, 4).
(b) Give an example of a function, g(x), that has a local maximum at ( -3, 3) and a local minimum at (3, -3).
(c) Plot f(x) and g(x) on the same graph being sure to label the inflection point(s) and local extrema.
A water sprinkler operates in a circular pattern a distance of 10 ft. Evaluate the circumference of the spray? (π = 3.14) a. 31.4 ft b. 314 ft c. 62.8 ft d. 628 ft
Derivatives of Hyperbolic Functions : The last set of functions which we're going to be looking at is the hyperbolic functions. In several physical situations combinations of e
#question.find the number of combinations of the letters a, b, c, and d taken 3 at a time.
What is input - output analysis?
If 7sin 2 ?+3cos 2 ? = 4, show that tan? = 1/√3 . Ans: If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan? 1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)
Example Reduce 24/36 to its lowest terms. 24/36=12/18=6/9=2/3. In the first step we divide the numerator and the denominator by 2. The fraction gets reduced
States the negation of the statement ∀x ∃y (xy = 1) so that no negation precedes a quantifier. Ans: The negation of the following statement is written as ~ [∀x ∃y (xy = 1)]. An
Let ∑ = (0, 1). Define the following language: L = {x | x contains an equal number of occurrences of 01 and 10} Either prove L is regular (by constructing a DFA/NFA or a rege
cos 8
On your geometry test you have two triangles: ?ABC and ?MNO. You are told that ?A ? ? M and that ?B ? ? N. Which statement is also true?
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