Use the intermediate value theorem to approximate the one real zero on the given interval. Round your answer to two decimal places.f(x) = x4 - x3 - 7x2 + 5x + 10; [-3, -2]

A. 2.24
B. -2.24
C. -2.45
D. 2.45


Answer: B

Mathematics

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Find the center of mass of a thin plate of constant density covering the given region.The region bounded by the parabola x = y2 and the line x = 1

A.  = 0,  = 
B.  =  = 0
C.  =  = 0
D.  = 1,  = 0

Mathematics

Determine whether the given equation is a rational function.f(x) = -6 + 

A. Yes B. No

Mathematics

Use the Factor Theorem to determine whether x - c is a factor of the given function for the given value of c. If x - c is a factor, then write f in factored form. That is, write f(x) = (x - c)(quotient).f(x) = x6 - 13x4 - 52x2 + 64; c = 4

A. Yes; f(x) = (x - 4)(x5 + 4x4 - 3x3 + 16x2 - 4x - 16) B. Yes; f(x) = (x - 4)(x5 + 4x4 + 3x3 + 12x2 - 4x - 16) C. Yes; f(x) = (x - 4)(x5 - 5x4 + 4x3 + 12x2 - 4x - 16) D. No

Mathematics

Rationalize the denominator.

A.  
B.  - 
C.  
D.  

Mathematics