Provide an appropriate response.Does the curve y = (x + 3)3 have any horizontal tangents? If so, where? Give reasons for your answer.

What will be an ideal response?


The curve y = (x + 3)3 has a horizontal tangent at x = -3. The derivative of the curve is  which equals zero at x = -3. A curve has a horizontal tangent wherever its derivative equals zero.

Mathematics

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Choose the equation that matches the graph.

A.  -  = 1
B.  +  = 1
C.  -  = 1
D.  -  = 1

Mathematics

For the polynomial function, find the requested value.f(x) = 4x2 - 3x - 8; f(3)

A. 9 B. -5 C. 19 D. 15

Mathematics

Factor the trinomial.36 - 13x + x2

A. (x - 4)(x - 9) B. (x - 4)(x + 9) C. (x - 36)(x - 1) D. (x + 4)(x + 9)

Mathematics

If f (x) is the probability density function for the blood cholesterol level of men over the age of 40, where x is measured in milligrams per deciliter, express as an integral the probability that the cholesterol level of such a man lies between 195 and 245.

Mathematics