For the following exercises, write the equation of the tangent line in Cartesian coordinates for the given parameter t . 78. For x = sin ( 2 t ) , y = 2 sin t where 0 ≤ t < 2 π . Find all values of t at which a horizontal tangent line exists.
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the given parameter t . 78. For x = sin ( 2 t ) , y = 2 sin t where 0 ≤ t < 2 π . Find all values of t at which a horizontal tangent line exists.
Q.2.4 There are twelve (12) teams participating in a pub quiz. What is the probability of correctly predicting the top three teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.
The table below indicates the number of years of experience of a sample of employees who work on a particular production line and the corresponding number of units of a good that each employee produced last month.
Years of Experience (x)
Number of Goods (y)
11
63
5
57
1
48
4
54
5
45
3
51
Q.1.1 By completing the table below and then applying the relevant formulae, determine the line of best fit for this bivariate data set.
Do NOT change the units for the variables.
X
y
X2
xy
Ex=
Ey=
EX2
EXY=
Q.1.2 Estimate the number of units of the good that would have been produced last month by an employee with 8 years of experience.
Q.1.3 Using your calculator, determine the coefficient of correlation for the data set.
Interpret your answer.
Q.1.4 Compute the coefficient of determination for the data set.
Interpret your answer.
University Calculus: Early Transcendentals (4th Edition)
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