Answer:
15x^3 + 6x^2
Step-by-step explanation:
5x^2+8x^3+7x^3+x^2
Combine like terms
8x^3+7x^3+x^2 + 5x^2
15x^3 + 6x^2
To be in standard form, we write from highest power to lowest power
Linear combination method just means to add the equations so that one variable with cancel. In this case the a values are already set up so that they will cancel.
2a + 3b = 1
-2a + b = 11
4b = 12
b = 3
now put 3 back into either of the original equations and solve for a.
2a + 3(3) = 1
2a + 9 = 1
2a = -8
a = -4
(-4,3)
Answer:
C. 19a + 11b
Step-by-step explanation:
Distribute into the parentheses.
3(5a + b) + 4(a + 2b)
= 15a + 3b + 4a + 8b
Add like terms.
15a + 3b + 4a + 8b
19a + 3b + 8b
= 19a + 11b
Hope that helps.
Answer:
65
Step-by-step explanation:
150-(4^2+4)/2
150-(16+4)/2
150-(20)/2
130/2=65
Find the critical points of :
All three points lie within , and takes on values of
Now check for extrema on the boundary of . Convert to polar coordinates:
Find the critical points of :
where is any integer. There are some redundant critical points, so we'll just consider , which gives
which gives values of
So altogether, has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).