Fill in the blank with the appropriate measurement relationship.4 qt = 
gal
Fill in the blank(s) with the appropriate word(s).
1 gal
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = 
(1 + t)3/2i + 
(1 - t)3/2j + 2tk
A. T = 
i - 
j + 
k; N = 
i + 
j
B. T = 
i + 
j + 
k; N = 
i + 
j
C. T = 
i - 
j + 
k; N = 
i + 
j
D. T = 4
i - 4
j + 2k; N = 3
i + 3
j
Determine whether the line integral 
is positive, negative or zero.
A. positive B. negative C. zero
List all the factors of each number.32
A. 2 ? 2 ? 2 ? 2 ? 2 ? 2 B. 2 ? 2 ? 2 ? 2 ? 5 C. 2 ? 2 ? 2 ? 2 D. 2 ? 2 ? 2 ? 2 ? 2
Ivan has the option of a 10-year nonsubsidized student loan of $21,000 at an annual interest rate of 3.6% to attend law school for him 3 years. He starts making payments 4 years after obtaining the loan or 9-year PLUS Loan of $21,000 to attend law school for him 3 years at an annual interest rate of 3.5%, and he starts his repayments 3 years after graduation. Determine the difference between the interest paid of the first and the second given options.
a. $3,087 b. $1,386 c. $63 d. $819