2 years ago

Use properties to find the sum or product

Mathematics

1 answer:

kodGreya [7K]2 years ago

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Your answer is right!

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Fiesta28 [93]

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Find the minimum value if f(x) = xe^x over [-2,0]

SashulF [63]

Given function:

$f(x)=xe^x$

The minimum value of the function can be found by setting the first derivative of the function to zero.

$f^{\prime}(x)=xe^x+e^x$ $\begin{gathered} xe^x+e^x\text{ = 0} \\ e^x(x\text{ + 1) = 0} \end{gathered}$

Solving for x:

$\begin{gathered} x\text{ + 1 = 0} \\ x\text{ = -1} \end{gathered}$ $\begin{gathered} e^x\text{ = 0} \\ \text{Does not exist} \end{gathered}$

Substituting the value of x into the original function:

$\begin{gathered} f(x=1)=-1\times e^{^{-1}}_{} \\ =\text{ -}0.368 \end{gathered}$

Hence, the minimum value in the given range is (-1, -0.368)

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Marta is making a flag with the given dimensions. The perimeter of the flag is 100 inches. A triangle has side lengths of 18 inc

jek_recluse [69]

Answer: 54

Step-by-step explanation:

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sergij07 [2.7K]

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3.9 - C

Step-by-step explanation:

This forms a triangle with a base of 2.5 and a height of 3.

Using the Pythagorean Theorem, 2.5^2 + 3^2 = c^2

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