Provide an appropriate response.The line that is normal to the curve x2 - xy + y2 = 16 at (4, 4) intersects the curve at what other point?

A. (0, -4)
B. (-8, -8)
C. (-4, -4)
D. (-4, 0)


Answer: C

Mathematics

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Find the curvature of the curve r(t).r(t) = (9t + 5)i - 10j + (5 - t2)k

A. ? = 9
B. ? = 
C. ? = 93/2
D. ? = 

Mathematics

Provide an appropriate response.Which (if any) of the following statements is/are true?A: If two events are dependent, then they must be mutually exclusive B: If two events are mutually exclusive, then they must be dependent

A. Neither statement is true. B. Both statements are true. C. B only D. A only

Mathematics

Solve the problem.A piece of land is shaped like a right triangle. Two people start at the right angle of the triangle at the same time, and walk at the same speed along different legs of the triangle. If the area formed by the positions of the two people and their starting point (the right angle) is changing at  then how fast are the people moving when they are  from the right angle? (Round your answer to two decimal places.)

A. 12.50 m/s B. 0.40 m/s C. 0.20 m/s D. 0.80 m/s

Mathematics

Provide an appropriate response.According to a college survey, 22% of all students work full time. Find the mean for the random variable X, the number of students who work full time in samples of size 16.Find the mean of the binomial distribution.

A. 2.75 B. 0.22 C. 4.00 D. 3.52

Mathematics