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Find a Polynomial F(x) of Lowest Possible Degree Such That \le

Question 16

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Find a polynomial f(x) of lowest possible degree such that the curve y = f(x) , 0 \le x \le 1, can be used to join the straight line segments y = 0, x \le 0, and y = 1, x \ge 1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration.


A) f(x) = 10  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2   - 15  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2   + 6  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2
B) f(x) = 4  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2   - 7  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2   + 4  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2
C) f(x) = 2  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2   - 3  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2   + 2  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2
D) f(x) = 18  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2   - 30  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2   + 13  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2
E) f(x) =  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2   - 3  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2   + 2  Find a polynomial f(x)  of lowest possible degree such that the curve y = f(x) , 0  \le  x  \le  1, can be used to join the straight line segments y = 0, x  \le  0, and y = 1, x \ge  1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration. A)  f(x)  = 10   - 15   + 6   B)  f(x)  = 4   - 7   + 4   C)  f(x)  = 2   - 3   + 2   D)  f(x)  = 18   - 30   + 13   E)  f(x)  =   - 3   + 2

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