Calculate the arc length of the indicated portion of the curve r(t).r(t) = (3t sin t + 3 cos t)i + (3 t cos t - 3 sin t)j ; -3 ? t ? 6
A. 67.5
B. 40.5
C. 135
D. 81
Answer: B
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Evaluate the integral.
A. 
ln
- 
ln 
+ C
B. ln
- ln 
+ C
C. 
ln
+ 
ln
+ C
D. 
ln
- 
ln
+ C
Solve the problem.A patient takes 100 mg of medication every 24 hours. 80% of the medication in the blood is eliminated every 24 hours.a. Let dn equal the amount of medication (in mg) in the blood stream after n doses, where d1 = 100. Find a recurrence relation for dn.b. Show that 
is monotonic and bounded, and therefore converges.c. Find the limit of the sequence. What is the physical meaning of this limit?
A. a. dn + 1 = 0.2dn + 100, d1 = 100 b. dn satisfies 0 ? dn ? 150 for n ? 1 and its terms are increasing in size. c. 150; in the long run there will be approximately 150 mg of medication in the blood. B. a. dn + 1 = 0.2dn + 100, d1 = 100 b. dn satisfies 0 ? dn ? 125 for n ? 1 and its terms are increasing in size. c. 125; in the long run there will be approximately 125 mg of medication in the blood. C. a. dn + 1 = 0.8dn + 100, d1 = 100 b. dn satisfies 0 ? dn ? 150 for n ? 1 and its terms are increasing in size. c. 150; in the long run there will be approximately 150 mg of medication in the blood. D. a. dn + 1 = 0.8dn + 100, d1 = 100 b. dn satisfies 0 ? dn ? 125 for n ? 1 and its terms are increasing in size. c. 125; in the long run there will be approximately 125 mg of medication in the blood.
Solve the problem.Suppose that the odds of winning the grand prize in a raffle are 1 to 7. What is the probability of winning the grand prize?
A. 
B. 
C. 
D. 
E. none of these
Graph the equations.f(x) = 
+ 1
A. 
B. 
C. 
D. 