Use graphical methods to solve the linear programming problem.3x + 2y ? 6-2x + 4y ? 8x ? 0y ? 0Maximize P = 2x + 5y 
A. Maximum of 19 when x = 2 and y = 3
B. Maximum of 
when x = 
and y = 
C. Maximum of 
when x = 
and y = 2
D. Maximum of 10 when x = 0 and y = 2
Answer: B
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The following table shows the velocity V, in meters per second, of a rock t seconds after it is thrown downward on the planet Mercury. t 0 1 2 3 V 17 20.61 24.22 27.83? A: Complete a table of changes to show that the data are linear. Round your answer to two decimal places, if necessary.B: Find a linear model for the data. Round your answer to two decimal places, if necessary.C: Explain in practical terms the meaning of the slope of the linear function you found in part B. Round your answer to two decimal places, if necessary.
What will be an ideal response?
Solve the initial value problem.Differential Equation: 
= (9t2 - 9)i - j + 
kInitial Condition: r(0) = -4i + 7j + 6k
A. r(t) = (3t3 - 9t - 4)i + (7 - t)j + (
- 4)k
B. r(t) = (3t3 + 9t + 4)i + (7 + t)j + (
+ 4)k
C. r(t) = (3t3 - 9t - 4)i + (7 - t)j + (2
+ 4)k
D. r(t) = (9t3 - 9t - 4)i + (7 - t)j + (
+ 4)k
Provide an appropriate response.What values of a and b minimize the value of 
dx?
Fill in the blank(s) with the appropriate word(s).
Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse with vertices (±6, 0) and foci at (±3, 0)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1