Find the logarithm. Give an approximation to four decimal places.log e
A. 2.7183
B. 0
C. 0.4343
D. 1
Answer: C
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Provide an appropriate response.(a) Show that 
dx = 
e-4 < 0.0092 and hence that 
dx < 0.0092.(b) Explain why this means that 
dx can be replaced by 
dx without introducing an error of magnitude greater than 0.0092.
What will be an ideal response?
Convert the angle from degree measure to radian measure. Round to the nearest hundredth of a radian when appropriate.-45°
A. - 
B. - 
C. - 
D. - 
Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?
A. 0.35 B. 0.559 C. 0.224 D. 0.217
Solve the problem.A comet follows the hyperbolic path described by 
- 
= 1, where x and y are in millions. If the sun is the focus of the path, how close to the sun is the vertex of the path? 
A. 6.6 million B. 43 million C. 5 million D. 1.6 million