Find the length of the curve with the given vector equation.r(t) = (2t sin t + 2 cos t)i + (2t cos t - 2 sin t)j ; -4 ? t ? 5
A. 9
B. 82
C. 18
D. 41
Answer: A
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Write as a common fraction.0.745
A. 
B. 
C. 
D. 
Find the expected value.A commercial building contractor is trying to decide which of two projects to commit her company to. Project A will yield a profit of $50,000 with a probability of 0.6, a profit of $84,000 with a probability of 0.3, and a profit of $10,000 with a probability of 0.1.Project B will yield a profit of $100,000 with a probability of 0.1, a profit of $66,000 with a probability of 0.7, and a loss of $20,000 with a probability of 0.2.Find the expected profit for each project. Based on expected values, which project should the contractor choose?
A. Project A:$56,200 Project B: $52,200 Contractor should choose project A B. Project A: $47,200 Project B: $52,200 Contractor should choose project B C. Project A: $56,200 Project B: $60,200 Contractor should choose project B D. Project A: $48,000 Project B: $48,666 Contractor should choose project A
?For the probability density function 
on the interval 
find the probability that 
. Round your
answer to the nearest hundredth. ? A. ?0.17 B. ?0.6 C. ?0.8 D. ?0.4 E. ?0.13
Evaluate the definite integral.
(Round to the nearest thousandth.)
A. -0.575 B. -3.464 C. 0.575 D. -2.772