Use the simplex method to solve the linear programming problem.Maximizez = 7x1 + 2x2 + x3subject to:x1 + 5x2 + 7x3 ? 8 x1 + 4x2 + 11x3 ? 9withx1 ? 0, x2 ? 0, x3 ? 0
A. Maximum is 63 when x1 = 9, x2 = 0, x3 = 0
B. Maximum is 56 when x1 = 8, x2 = 0, x3 = 0
C. Maximum is 9 when x1 = 1, x2 = 1, x3 = 0
D. Maximum is 0 when x1 = 0, x2 = 0, x3 = 8
Answer: B
Mathematics
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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 0 for r(t) = cos (3t)i + 2 ln (t - 4)j - 
k
A. v(0) = -
j
B. v(0) = 3i - 
j
C. v(0) = 
j
D. v(0) = -3i - 
j
Mathematics
Identify the curve as simple, closed, both, or neither.
A. Simple B. Closed C. Both D. Neither
Mathematics
Factor the following:
a. (3x + 6) b. (2a2 + 3a) c. (3x + 2ax + 4xy) d. (4a2b2 + 6ab - 8a2b3)
Mathematics
Use the change of base formula and a calculator to approximate the logarithmic expression. Round your answer to four decimal places.log1642.7
A. 0.4263 B. 2.8345 C. 1.3540 D. 0.7385
Mathematics