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andrew-mc [135]
3 years ago
9

Help will give Brainly points

Mathematics
1 answer:
Alexandra [31]3 years ago
5 0

Answer:

Use the SINE RULE:

\frac{a}{ \sin( \alpha ) } =  \frac{b}{ \sin( \beta ) }

\frac{6}{ \sin(60) }  =  \frac{x}{ \sin(90) }

x =  \sin(90)  \times  \frac{6}{ \sin(60) }

x = 6.93

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What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]? A. maximum point: (–2.4, 3
slava [35]

Answer:

(-2.4, 37.014)

Step-by-step explanation:

We are not told how to approach this problem.  

One way would be to graph f(x) = x^5 − 10x^3 + 9x on [-3,3] and then to estimate the max and min of this function on this interval visually.  A good graph done on a graphing calculator would be sufficient info for this estimation.  My graph, on my TI83 calculator, shows that the relative minimum value of f(x) on this interval is between x=2 and x=3 and is approx. -37; the relative maximum value is between x= -3 and x = -2 and is approx. +37.  

Thus, we choose Answer A as closest approx. values of the min and max points on [-3,3].  In Answer A, the max is at (-2.4, 37.014) and the min at (2.4, -37.014.

Optional:  Another approach would be to use calculus:  we'd differentiate f(x) = x^5 − 10x^3 + 9x, set the resulting derivative = to 0 and solve the resulting equation for x.  There would be four x-values, which we'd call "critical values."

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3 years ago
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Step-by-step explanation:

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15 gallons

Step-by-step explanation:

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