Provide an appropriate response.What can you say about the inflection points of the quartic curve  Give reasons for your answer.

What will be an ideal response?


The curve can have 0 or 2 inflection points. The second derivative is quadratic,  and quadratics may have 0, 1, or 2 roots, depending on the value of the discriminant. If  then y " has no real roots and y has no inflection points. If  then y" has exactly one real root and y has a single inflection point. Finally, if   then y" has two real roots and y has exactly two inflection points.

Mathematics

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Integrate the function.

A.  ln 
B.  ln 
C.  ln 
D. ln 

Mathematics

A.
B. 30y(y + 8)
C.
D.

Mathematics

Use the given vectors to find the indicated expression.v = 4i - 3j + k,  w = 3i - 4j - kFind (3v) × w.

A. 15i + 13j + 11k B. 13i + 15j - 39k C. 21i + 21j - 21k D. -21i - 48j + 21k

Mathematics

Solve the equation.(x - 3)2 = -2

A. {3 - i, 3 + i}
B. {-3 - 2i, -3 + 2i}
C. {1, 5}
D. {3 - , 3 + }

Mathematics