Provide an appropriate response.Does the curve y = x3 + 4x - 10 have a tangent whose slope is -2? If so, find an equation for the line and the point of tangency. If not, why not?

What will be an ideal response?


The curve has no tangent whose slope is -2. The derivative of the curve, y ' = 3x2 + 4, is always positive and thus never equals -2.

Mathematics

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Use the preference table to answer the question.A town votes on three different options, A, B and C, for placement of a statue within the town. The winner is to be determined by the Borda count method. The preference table for the election is shown.Number of Votes208114575757First ChoiceACBCBSecond ChoiceCBAACThird ChoiceBACBAa. Which option is favored over all others using pairwise comparisons?b. Which option wins the vote using the Borda count method?c. Is the Condorcet criterion satisfied?

A. a. candidate C, b. candidate B, c. No B. a. candidate C, b. candidate C, c. Yes C. a. candidate A, b. candidate B, c. Yes D. a. candidate A, b. candidate C, c. No

Mathematics

Find the angular speed of a point traveling through ? radians in time t.? = 35, t = 5 min

A. 7 radians/min
B.  radian/min
C. 8 radians/min
D. 6 radians/min

Mathematics

Graph the pair of parametric equations with the aid of a graphing calculator.x = 6t - 6 sin t, y = 6 - 6 cos t, -2? ? t ? 2? 

A.

B.

C.

D.

Mathematics

Add.2a4 + 2a3

A. 11a8 + 6a6 B. 17a7 C. 17a14 D. 11a4 + 6a3

Mathematics