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Find the domain and range of function f(x)=√(x^2-4) on R


Find the domain and range of f(x)=√(1-x^2) on R


Find the domain and range of f(x)= √(1-x²)


A pendulum takes 10 seconds to swing






through 2 complete cycles.







a. How long does it take to complete






one cycle?






b. What is its period?






c. What is its frequency?






d. What is the angular frequency?






e. What does the position N represents?

6. A scientist inoculates several mice, one at a time, with a disease germ until he finds 2 mice that have attacked by the disease. If the probability of getting attack of the disease is 1/6, what is the probability that 8 mice are required

Find the mass of nonelectrolyte solute dissolved in 315 g water with boiling point temperature of 100.45 ⁰C. The molar mass of solute is 46 g/mole

                          Kb = 0.52 ⁰C/m  and Tb = 100 ⁰C (boiling point of pure solvent)




What is the power of a rechargeable flash light used by a farmer if it uses 60,000.00J for 5 minutes


Construct a grouped frequency table for the data of 50 statistics examination scores. 96 69 63 69 $70 76 39 82 95 88 57 55 88 43 55 94 73 66 69 98 84 81 82 71 77 90 76 86 59 63 71 85 49 93 92 72 68 73 89 75 79 90 74 75 78 60 48 90 64 69



Construct a grouped frequency distribution for the given data on weekly salaries in pesos of 40 employees. 750 680 728 800 8888 615 850 890 900 950 830 728 550 700 920 815 790 805 920 985 795 750 610 780 900 800 820 760 790 650 750 690 720 810 750 960 805 780 728 804 812

given an estimated demand function for avocados

of Q = 104 - 40p + 20pt + 0.01Y, show how

the demand curve shifts as per capita income, Y,

increases by $1,000 a year. Illustrate this shift in




*1.4 Suppose that the demand function for movies

is Q1 = 120 - p for college students and

Q2 = 60 - 0.5p for other town residents. What is

the town’s total demand function (Q = Q1 + Q2 as

a function of p)? Carefully draw a figure to illustrate

your answer.


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