Find the maximum or minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of feasible points. 
Objective Function: z = x + 8y + 7Find minimum.
A. minimum: 27
B. minimum: 35
C. minimum: 49
D. no minimum
Answer: A
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Find the curvature ? for the given function.r(t) = ti + (sinh t)j + (cosh t)k
A. ? = 
B. ? = sinh2 t
C. ? = 
D. ? = cosh2 t
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary.a = 30 cm, c = 50 cm
A. b = 20 cm B. b = 10 cm C. b = 80 cm D. b = 40 cm
Give the order of the matrix, and identify the given element of the matrix.
; a34
A. 5 × 4; 14 B. 20; 5 C. 4 × 5; 4 D. 4 × 4; 9
Translate the problem to a system of equations and then solve.The difference between two numbers is 104. Five times the smaller number equals the larger number. Find the numbers.
A. 127, 23 B. 24, 120 C. 24, 132 D. 26, 130