Solve the problem.Assuming C is a simple closed path , what is special about the integral  ? Give reasons for your answer.

What will be an ideal response?


The integral is 5 times the area enclosed by C.

Mathematics

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Solve the problem.An object is rolling with a driving force that suddenly ceases. The object then rolls 10 meters in the first second, and in each subsequent interval of time it rolls 80% of the distance it had rolled the second before. This slowing is due to friction. How far will the object eventually roll?

A. It will roll an infinite distance. B. 20.0 m C. 12.2 m D. 50.0 m

Mathematics

Provide an appropriate response.Find the coordinates of the midpoint of the segment with endpoints (-8, -3) and (1, 6).

A. (-7, 3)
B.
C. (9, 9)
D.

Mathematics

Without graphing, answer the following questions for the linear system.(i) Is the system inconsistent, are the equations dependent, or neither?(ii) Is the graph a pair of intersecting lines, a pair of parallel lines, or one line?(iii) Does the system have one solution, no solution, or an infinite number of solutions?x - 7 = yy + 6 = x

A. (i) dependent (ii) one line (iii) infinite number of solutions B. (i) inconsistent (ii) parallel lines (iii) no solution C. (i) neither (ii) intersecting lines (iii) one solution

Mathematics

Provide an appropriate response.Given that f(x) = cos x, show that  = cos x  - sin x  . 

What will be an ideal response?

Mathematics