Solve the problem.When an object falling from rest encounters air resistance proportional to the square of its velocity, the distance it falls (in meters) after t seconds is given by
where m is the mass of the object in kilograms, g = 9.8 m/s2 is the acceleration due to gravity, and k is a physical constant. A BASE jumper
leaps from a tall cliff and performs a ten-second delay (she free falls for 10 s and then opens her chute). How far does she fall in 10 s? Assume
-4.0px;" /> Round the answer to one decimal place if necessary.
A. 73.6 m
B. 367.9 m
C. 14.7 m
D. 330.6 m
Answer: B
Mathematics
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Evaluate the cylindrical coordinate integral.
A. 63?
B. ?
C. 126?
D. 315?
Mathematics
Express the integrand as a sum of partial fractions and evaluate the integral.dx
A. - tan-1
-
+ C
B. ln -
tan-1
+ C
C. ln -
tan-1
-
+ C
D. ln -
+ C
Mathematics
Use inductive reasoning to predict the next equation.37,037 × 3 = 111,11137,037 × 6 = 222,22237,037 × 9 = 333,33337,037 × 12 = 444,444
A. 37,037 × 18 = 666,666 B. 111,111 × 15 = 1,666,665 C. 37,037 × 13 = 481,481 D. 37,037 × 15 = 555,555
Mathematics
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 5, y = 0, x = 1
A. 25? B. 10? C. 4? D. 2?
Mathematics