Provide an appropriate response.Paul notes that if a = 3 and b = -3, then  =  = -1. He concludes that for any real numbers a and b,  =  . Do you agree with his reasoning? If not, why not?

What will be an ideal response?


 is not equal to  for any a and b. In fact  is equal to  only if a = b or a = -b. Paul has stated that  =  for all real numbers a and b. To disprove this statement, it is sufficient to find one counterexample. 
One possible counterexample is a = 2, b = 6. Then  = , but   = 3.

Mathematics

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Find the area of the region specified in polar coordinates.One leaf of the rose curve r = 3 sin 2?

A. ?
B. ?
C. ?
D. ?

Mathematics

Find the intercepts for the equation.x + y = 5

A. (5, 2) (3, 5) B. (0, 3) (0, 2) C. (3, 0) (2, 0) D. (5, 0) (0, 5)

Mathematics

Provide an appropriate response.The graph of y = f(x) is shown below. Estimate:(a)f(-1)(b)f(0)(c)f(2)(d)f(3)(e)What is the domain of f?(f)What is the range of f?

What will be an ideal response?

Mathematics

Evaluate the expression without using a calculator.49-3/2

A. 343
B. -343
C.
D. - 

Mathematics