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Schach [20]
2 years ago
14

Duolingo assigned you 20 assignments over the weekend. You completed 4/5 of the assignments. How many assignments did you comple

te?
Mathematics
1 answer:
ValentinkaMS [17]2 years ago
7 0

Answer:

19.2

Step-by-step explanation:

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Which equations transform the parent secant graph to the parent cosecant graph?
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B

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Adam wants to learn more about a college basketball team. Which of the following is a statistical question Adam could ask? PLS H
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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:

2(x+1)e^{x^2+2x}=0\implies x+1=0\implies x=-1

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
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