Find the curvature of the curve r(t).r(t) = (10 + cos 5t - sin 5t)i + (9 + sin 5t + cos 5t)j + 10k
A. ? = 
B. ? = 
C. ? = 
D. ? = 
Answer: A
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Rewrite the expression in terms of sin ? and cos ?.cos ? tan ?
A. sin ? B. cos ? C. cot ? D. 1
Find the equation of the line passing through the indicated two points. Write the equation in point-slope form.(-7, 8) and (4, -8)
A. y - 8 = 
(x + 7) or y + 8 = 
(x - 4)
B. y - 8 = - 
(x + 7) or y + 8 = - 
(x - 4)
C. y + 8 = 
(x - 7) or y - 8 = 
(x + 4)
D. y + 8 = - 
(x - 7) or y - 8 = - 
(x + 4)
Use graphical methods to solve the linear programming problem.Maximize z = 6x + 7y subject to: 2x + 3y ? 12 2x + y ? 8 x ? 0 y ? 0
A. Maximum of 52 when x = 4 and y = 4 B. Maximum of 32 when x = 3 and y = 2 C. Maximum of 24 when x = 4 and y = 0 D. Maximum of 32 when x = 2 and y = 3
Solve the equation.
log (x + 5) -1 = 0
A. 1005 B. 995 C. -2 D. 9995