Find the vector projv u.v = i + j + k, u = 3i + 4j + 12k
A. 
i + 
j + 
k
B. 
i + 
j + 
k
C. 
i + 
j + 
k
D. 
i + 
j + 
k
Answer: A
Mathematics
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Evaluate the definite integral.
A. 12 B. 7 C. -12 D. 9
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Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.Zeros of 1, -2, 3 and P(2) = 8
A. P(x) = 2x3 - 4x2 - 10x + 12 B. P(x) = 2x3 + 8x2 - 10x + 12 C. P(x) = -2x3 + 4x2 + 10x - 12 D. P(x) = -2x3 - 8x2 + 10x - 12
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Indicate whether the graph represents a one-to-one function.
A. Yes B. No
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Solve the problem.A machine fills quart soda bottles with an average of 32.3 oz per bottle, with a standard deviation of 1.2 oz. What is the probability that a filled bottle will contain less than 32 oz? Assume the distribution is normal.
A. 38% B. 40% C. 60% D. 41%
Mathematics