Two cards are dealt without replacement from a well shuffled deck of cards. Find the probability that the first card is a diamond or a heart.
What will be an ideal response?
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Compute the unit binormal vector and torsion of the curve. r(t) = 
A. B(t) = 
, ? = 1
B. B(t) = 
, ? = 0
C. B(t) = 
, ? = 0
D. B(t) = 
, ? = 1
Solve the problem.The rate of expenditure on a particular machine is given by M'(x) = 15x
, where x is time measured in years. Maintenance costs for the second year are $77. Find the total maintenance function.
A. M(x) = 15(x2 + 5)3/2 + 62 B. M(x) = 15(x2 + 5)3/2 - 58 C. M(x) = 5(x2 + 5)3/2 + 62 D. M(x) = 5(x2 + 5)3/2 - 58
Provide an appropriate response. Find the distance between the points (5, -1) and (9, 2).
A. 7 B. 14.036 C. 5 D. 4.123
Solve the problem.The focal length f of a lens with index of refraction n is 
= (n - 1)
where R1and R2 are the radii of curvature of the front and back surfaces of the lens. Express f as a rational expression.
What will be an ideal response?