Find the average value of the function on the given interval.f(x) = 4 - x2; [1, 3]
A. -9
B. -0.333
C. -0.222
D. 1.500
Answer: B
Mathematics
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For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value 
r(t) = (9 sin t)i - (6 cos 5t)j +e-9tk ; to = 0
A. x = 9, y = -6t, z = -9 + t B. x = 9t, y = -6, z = 1 - 9t C. x = 9t, y = -6, z = 1 - t D. x = 9t, y = 6, z = 1 + t
Mathematics
Convert the equation given in rectangular form into polar form.x = 3
A. r = 3
B. r = 
C. r = 
D. cos ? = 3
Mathematics
Simplify.
A. 
B. 
C. 
D. 
Mathematics
Solve the problem.To determine the number of fish in a lake, a park ranger catches 300 fish, tags them, and returns them to the lake. Later, 72 fish are caught, and it is found that 45 of them are tagged. Estimate the number of fish in the lake.
A. 11 B. 480 C. 188 D. 972,000
Mathematics