Provide an appropriate response.Consider the matrixA = 
Without using a calculator, determine whether A-1 exists. Explain your reasoning.
What will be an ideal response?
Expanding by the third column,
det A = 3 
+ 0 + 0 = -24 ? 0.
Since det A ? 0, A-1 exists.
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Calculate the area of the surface S.S is the cap cut from the paraboloid z = 
- 3x2 - 3y2 by the cone z = 
.
A. 
B. 
C. 
D. 
Calculate the work done by the force F along the path C.F = ti + 
j + k ; C: r(t) = e4ti + e4tj + (7t2 + t)k , -1 ? t ? 1
A. W = e4 + e-4 + 16 B. W = 2 C. W = 16 D. W = e4 + e-4 + 2
Using the addition/subtraction method, find the value of x and y to satisfy the following equations:
a. x = 6 y = 0
b. x = 0 y = 12
c. x = -12 y = 0
d. x = 12 y = 0
e. x = 6 y = 2
Decide whether the given functions are inverses.f = {(-1, -4), (2, 5), (5, -1), (6, 9)}g = {(-4, -1), (5, 2), (-1, 5), (9, 6)}
A. No B. Yes