Find the unit tangent vector T and the principal unit normal vector N. r(t) = (ln(cos t) + 4)i + 7j + (1 + t )k, -?/2 < t < ?/2
A. T = (-sin t)i + (cos t)k; N = (-cos t)i - (sin t)k
B. T = (sin t)i - (cos t)k; N = (cos t)i - (sin t)k;
C. T = (sin t)i + (cos t)k; N = (cos t)i - (sin t)k
D. T = (-sin t)i + (cos t)k; N = (-cos t)i + (sin t)k
Answer: A
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Find the median for the given sample data.The salaries of ten randomly selected doctors are shown below.
Find the median salary.
A. $269,000 B. $177,000 C. $170,000 D. $242,000
Four players (Alli, Blake, Corey, and Devin) are sharing a cake. Suppose that the cake is divided into four slices s1, s2, s3, and s4.To Blake, s1 and s4 have equal value, s2 is worth as much as s1 and s4 combined, and s3 is worth $2.40. The entire cake is worth $14.00. Determine which of the four slices are fair shares to Blake.
A. s2 and s3 B. s1 and s4 C. s3 D. s2 E. s1 and s2
Use natural logarithms to solve the exponential equation symbolically.4(7 + 3x) = 
A. x = 
+ 
B. x = 
- 7
C. x = - 
- 
D. x = - 
+ 21
Divide. 
A. 5637 R 93 B. 5637 C. 5627 D. 5627 R 93