Find the center of mass of the wire that lies along the curve r and has density ?.r(t) = (4 + 3t)i + j - 3tk, 0 ? t ? 1; ?(x, y, z) = x + z2
A.
B.
C.
D.
Answer: D
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Use rational equations to solve the problems.Approximately 28% of Samantha's gross monthly income is deducted for Social Security, federal withholdings, state withholdings, insurance, etc. If her gross monthly salary is $2,542, then what is her net pay?
A. $711.76 B. $1,830.24 C. $1,576.04 D. $965.96
Provide an appropriate response. If distance = rate × time, how long did a trucker drive if she traveled 785.3 miles at 60 miles per hour?
A. 130.8 hours B. 7.6 hours C. 13.1 hours D. 6 hours
Find the principal unit normal vector N for the curve r(t).r(t) = (1 + t)i + (3 + ln(cos t))k, -?/2 < t < ?/2
A. N(t) = (-cos t)i - (ln(cos t))k B. N(t) = (-sin t)i - (cos t)k C. N(t) = (-cos t)i - (tan t)k D. N(t) = (cos t)i + (sin t)k
Give a verbal representation for the given function. f(x) = 4x2. Let y = f(x).
A. To obtain y: Add 4 to x, then square the result. B. To obtain y: Multiply x by 4, then square the result. C. To obtain y: Square x, then multiply the result by 4. D. To obtain y: Square x, then add 4 to the result.