Find the relative extrema of the function. Find the relative extrema of trigonometric functions on [0, 2? ]. List your answers in terms of ordered pairs. Then sketch a graph of the function.


Relative minimum at

relative maximum at

Mathematics

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Provide an appropriate response.Explain why the following four statements ask for the same information.(i) Find the roots of f(x) = 3x3 - 4x - 1(ii) Find the x-coordinates of the intersections of the curve y = x3 with the line y = 4x + 1.(iii) Find the x-coordinates of the points where the curve y = x3 - 4x crosses the horizontal line .(iv) Find the values of x where the derivative of g(x) = x4 - 2x2 - x + 5 equals zero.

What will be an ideal response?

Mathematics

Find the area of the circle. Use ? ? 3.14 and round to the nearest hundredth.diameter = 23 mi

A. 144.44 mi2 B. 72.22 mi2  C. 415.27 mi2  D. 1,661.06 mi2 

Mathematics

Answer the question.Can a parallelogram have exactly three right angles? Explain why or why not.

What will be an ideal response?

Mathematics

Find the indicated function value.f(x) = x2 - x - 5, g(x) = x3 + x2 + xFind (f + g)(x).

A. x3 + x2 + x - 5
B. x3 + x2 + x - 5
C. 2x3 - x2 - 4x
D. 2x3 - x2 - 4x

Mathematics