Find the required quantity given the wire that lies along the curve r and has density ?.Moment of inertia Ix about the x-axis, where r(t) = 
t3/2i + (7t cos t)j + (7t sin t)k,

A. Ix = 0
B. Ix = 98
C. Ix = 49
D. Ix =
Answer: D
Mathematics
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Evaluate the integral.
A. tan2(ex) + ln(cos(ex)) + C
B. tan2(ex) + ln(cos(ex)) + C
C. tan2(ex) - ln(cos(ex)) + C
D. tan2(ex) - ln(cos(ex)) + C
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Solve the problem.A heat engine is a device that converts thermal energy into other forms. The thermal efficiency, e, of a heat engine is defined by where Qh is the heat absorbed in one cycle and Qc, the heat released into a reservoir in one cycle, is a constant. Find
.
A. =
B. =
C. =
D. =
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Round off the approximate number as indicated.2090 2 significant digits
A. 2100 B. 2200 C. 290 D. 2000
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Factor the polynomial.343p3 - 1
A. (7p - 1)(49p2 + 1) B. (7p + 1)(49p2 - 7p + 1) C. (7p - 1)(49p2 + 7p + 1) D. (343p - 1)(p2 + 7p + 1)
Mathematics