Solve the system of equations using Cramer's rule.2x - y - 2z = -16x + 
y - 4z = 10
x + 
y - 
z = 15
A. (3, 10, 6)
B. (5, 14, 6)
C. (4, 12, 6)
D. (4, 10, 7)
Answer: C
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A certain radioactive substance decays exponentially with yearly decay factor of 0.96. There are initially 103 grams present. ? A: Write a formula that gives the amount A, in grams, of the substance remaining after t years. ? B: How much is left after 7 years? Round your answer to two decimal places. ? C: Plot the graph of A versus t over the first 20 years. ? D: How long will it take until only 26 grams are left? Round your answer to two decimal places.
What will be an ideal response?
Perform the operation and give the answer as a fraction in lowest terms.
- 
A. - 
B. - 
C. - 
D. - 
Express the vector as a product of its length and direction.2j + 
k
A. 
B. 
C. 
D. 
(j + k)
Find the first four nonzero terms in the Maclaurin series for the function.f(x) = x sin(3x)
A. 3x - 
x4 + 
x6 - 
x8 + . . .
B. 3x - 
x3 + 
x5 - 
x7 + . . .
C. 3x2 + 
x4 + 
x6 + 
x8 + . . .
D. 3x2 - 
x4 + 
x6 - 
x8 + . . .