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MA 105 Final EXAM Download answer at |
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1)
2)
3)
4)
5)
Remaining roots are given by:
, therefore x=-1 is one of the roots, remaining roots are given by:
Remaining roots are given by:
So the roots are:
6)
Remaining roots are given by:
x=-1 is one of the roots because Q (-1) =0 By synthetic division:
Remaining roots are given by:
x=-3 is one of the roots, S (-3) =0 Remaining roots are given by:
Remaining roots are given by:
Hence the remaining roots are non-real. Therefore real roots are: x=1,-1,-3 7)
The function is not defined for x=-6 and x=5, so domain is:
Y-intercept is: Plugging x=0:
X-intercept is: Plugging y=0:
8)Circle with centre (-2,9) and radius 3 is:
9)
10)
Therefore conic section is Hyperbola. 11)
12)
13)
14)
15)
16)
Multiplying equation (2) by 9:
Adding these equations, we get:
Plugging y=-5 in equation (2)
17) Let number of containers weighing 4 Kg =x Let number of containers weighing 3 Kg =y Therefore equations are:
Multiplying equation (1) by 4:
Subtracting equation (2) from equation (1): y=20 Plugging y=20 in equation (1)
18)The solution set for system of inequalities is shown by green shaded region. |
1)
2)
3)
4)
5)
Remaining roots are given by:
, therefore x=-1 is one of the roots, remaining roots are given by:
Remaining roots are given by:
So the roots are:
6)
Remaining roots are given by:
x=-1 is one of the roots because Q (-1) =0 By synthetic division:
Remaining roots are given by:
x=-3 is one of the roots, S (-3) =0 Remaining roots are given by:
Remaining roots are given by:
Hence the remaining roots are non-real. Therefore real roots are: x=1,-1,-3 7)
The function is not defined for x=-6 and x=5, so domain is:
Y-intercept is: Plugging x=0:
X-intercept is: Plugging y=0:
8)Circle with centre (-2,9) and radius 3 is:
9)
10)
Therefore conic section is Hyperbola. 11)
12)
13)
14)
15)
16)
Multiplying equation (2) by 9:
Adding these equations, we get:
Plugging y=-5 in equation (2)
17) Let number of containers weighing 4 Kg =x Let number of containers weighing 3 Kg =y Therefore equations are:
Multiplying equation (1) by 4:
Subtracting equation (2) from equation (1): y=20 Plugging y=20 in equation (1)
18)The solution set for system of inequalities is shown by green shaded region. |