Solve the problem.Sketch a continuous curve y = f(x) with the following properties:f(2) = 3; f''(x) > 0 for x > 4; and f''(x) < 0 for x < 4 .

What will be an ideal response?


Answers will vary. A general shape is indicated below:


Mathematics

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Find the area of the specified region.Inside the circle r =  sin ? and outside the cardioid r = 1 + cos ?

A.
B.
C.
D.

Mathematics

Solve the problem.Write parametric equations for the tangent line to the curve of intersection of the surfaces    and    at the point  

A.     
B.     
C.     
D.     

Mathematics

Provide an appropriate response.Perform the indicated operation:  m(m2)

Fill in the blank(s) with the appropriate word(s).

Mathematics

Use a product-to-sum identity to rewrite the expression.sin  cos 

A. 0.5
B. 0.5
C. 0.5
D. 0.5

Mathematics