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: B
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Solve the problem.
The graph shows the amount of water in a 450-gallon tank after x minutes have elapsed. (i) Is the water entering or leaving the tank? (ii) Find the x-intercept and the y-intercept.
A. Leaving; both intercepts are 0 B. Entering; both intercepts are 0 C. Entering; x-intercept is 450 and y-intercept is 0 D. Leaving; x-intercept is 0 and y-intercept is 450
Solve the problem.Stephanie receives a salary of $650 per month plus a commission of 5.5% on the first $3,000 of sales, and 7% of all sales over $3,000. Find Stephanie's gross pay for the month if her sales were $10,110.
A. $2797.70 B. $662.70 C. $1522.70 D. $1312.70
Translate the ellipse with the given equation so that it is centered at the given point. Find the new equation and sketch its graph.
+ 
= 1; (-3, 4)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Solve the problem.Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by 
where x represents the dollars of tax per ton of carbon emitted and P represents the percent reduction in emissions of carbon. (P is in decimal form.) Determine P when 
Round to three decimal places.
A. -0.19 B. 0.242 C. -0.237 D. 1.758