Reference no: EM132526085
MTH100 College Mathematics - Emirates College of Technology
Question 1: Exponential and Logarithmic Equations
Solve the following equations:
(a) log82x-12= 2
(b) log2(x+3)+log27= log5253
(c) 243(x-4) = 3(3x+6)
Question 2 : Functions:
i) Graph the function f(x)=4-x
ii) Let f(x)=4+x2, g(x)=8-x, then find the following:
(g/f)(-1)
(g+f)(3)
(fog)(4 )
iii) Find the inverse function of f(x)=7+5x
Question 3: (Lines)
Write the point-slope form for the line that passes through the points A(-7 , 12) and B(7, -2).
Write the slope-intercept form for the equation of the line that passes through the point (-3 , 5) and parallel to the line whose equation is,y=-5x+10 , and graph the two lines.
Question 4: Probabilities
Three dice are rolled, find the probability that the 3 dice show different numbers of dots.
A fair coin is tossed three times in succession, find the probability that the 3 tosses show different results.
Attachment:- College Mathematics.rar
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