Provide an appropriate response.How many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if the sequence may not end in 000? Repetition of digits is allowed.
A. 1512
B. 5000
C. 2999
D. 2000
E. 2997
Answer: E
Mathematics
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Find the required quantity given the wire that lies along the curve r and has density ?.Moment of inertia Iz about the z-axis, where r(t) = (5 sin 3t)i + (5 cos 3t)j + e6tk, 0 ? t ? 1; 
A. Iz = 
B. Iz = 
[(225 + 36e12)3/2 - (225 + 36)3/2 ]
C. Iz = 
D. Iz = 
(e12 - 1)
Mathematics
Provide an appropriate response. Find the equation of the line that is parallel to the line 3x - 2y = 6 and passes through the point (6, -5). Write the equation in standard form.
A. y = 
x - 4
B. y = 
x - 14
C. y = 
x - 9
D. y = 3x - 23
Mathematics
Divide.6.314 ÷ 7
A. 1.902 B. 0.902 C. 19.02 D. 9.02
Mathematics
Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.
3
A. 50
+ 50
i
B. 5
+ 5
i
C. 15
+ 15
i
D. -500
+ 500
i
Mathematics