Please help me with this!

Mathematics

1 answer:

marishachu [46]2 years ago

5 0

It is this photo if it has been added

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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)

6 0

1 year ago

Use the net to find the surface area of the regular pyramid.

Svetradugi [14.3K]

Answer:

7 or $7^{2}$

Step-by-step explanation:

Each triangle has the surface area of 1.5, because 1 $*$ 3 = 3 / 2 = 1.5. You divide by two because it is half a rectangle instead of a full one. You multiply by four which would get you 1.5 $*$ 4 = 6. The square in the middle has the surface area of 1 because 1 $*$ 1 = 1. So you would get 7.