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vova2212 [387]
3 years ago
7

The length of the​ diameter, d, of the circle is 16cm. Find the length of the​ radius, r, of the circle.

Mathematics
1 answer:
Anna71 [15]3 years ago
8 0
The radius would be 8cm. 
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Which is a quadratic function
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Find the absolute extrema of f(x) = e^{x^2+2x}f ( x ) = e x 2 + 2 x on the interval [-2,2][ − 2 , 2 ] first and then use the com
fredd [130]

f(x)=e^{x^2+2x}\implies f'(x)=2(x+1)e^{x^2+2x}

f has critical points where the derivative is 0:

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The second derivative is

f''(x)=2e^{x^2+2x}+4(x+1)^2e^{x^2+2x}=2(2x^2+4x+3)e^{x^2+2x}

and f''(-1)=\frac2e>0, which indicates a local minimum at x=-1 with a value of f(-1)=\frac1e.

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So we have

\dfrac1e\le f(x)\le e^8

\implies\displaystyle\int_{-2}^2\frac{\mathrm dx}e\le\int_{-2}^2f(x)\,\mathrm dx\le\int_{-2}^2e^8\,\mathrm dx

\implies\boxed{\displaystyle\frac4e\le\int_{-2}^2f(x)\,\mathrm dx\le4e^8}

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3 years ago
8Which rate is equivalent to 72 over 9
otez555 [7]

Answer:

72/9 is equivalent to 8/1 is the answer.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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