Find any values of the variables that must be excluded.
A. z = 0
B. z = 6
C. z = -6
D. Defined for all real numbers
Answer: D
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Find T, N, and B for the given space curve.r(t) = (ln(cos t) + 2)i + 10j + (3 + t )k, -?/2 < t < ?/2
A. T = (sin t)i + (cos t)k; N = (cos t)i - (sin t)k; B = j B. T = (sin t)i + (cos t)k; N = (cos t)i - (sin t)k; B = -j C. T = (-sin t)i + (cos t)k; N = (-cos t)i - (sin t)k; B = -j D. T = (-sin t)i + (cos t)k; N = (-cos t)i - (sin t)k; B = j
Solve the problem.Assuming all the necessary derivatives exist, show that if 
= 0 closed curves C to which Green's Theorem applies, then f satisfies the Laplace equation 
+ 
= 0 for all regions bounded by closed curves C to which Green's Theorem applies.
What will be an ideal response?
Find the foci and asymptotes of the hyperbola.
- 
= 1
A. (-9, 0), (9, 0); y = 
x, y = - 
x
B. (-15, 0), (15, 0); y = 
x, y = - 
x
C. (0, -9), (0, 9); y = 
x, y = - 
x
D. (0, -15), (0, 15); y = x, y = -
x
Determine whether the statement is true or false.The value ?C of a matrix game to player C is the maximum of the values of the various possible strategies for C.
A. True B. False