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zvonat [6]
2 years ago
9

Jennifer was baking cupcakes for her class. She needed to bake 35 cupcakes in all. Each cupcake needed .13 cups of sugar. How ma

ny cups of sugar will she need in order to make the 35 cupcakes?

Mathematics
1 answer:
Paraphin [41]2 years ago
3 0
Answer and working out attached below. Hope it helps

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F(x)=(x-6)e^-3x find the interval in which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema
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\bf f(x)=(x-6)e^{-3x}\\\\
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\cfrac{dy}{dx}=1\cdot e^{-3x}+(x-6)-3e^{-3x}\implies \cfrac{dy}{dx}=e^{-3x}[1-3(x-6)]
\\\\\\
\cfrac{dy}{dx}=e^{-3x}(19-3x)\implies \cfrac{dy}{dx}=\cfrac{19-3x}{e^{3x}}

set the derivative to 0, solve for "x" to get any critical points
keep in mind, setting the denominator to 0, also gives us critical points, however, in this case, the denominator will never be 0, so... no critical points from there

there's only 1 critical point anyway, and do a first-derivative test on it, check a number before it and after it, to see what sign the derivative has, and thus, whether the graph is going up or down, to check for any extrema
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3 years ago
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Valentin [98]

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A=3B

Step-by-step explanation:

7 0
3 years ago
li needs 15 pieces of string each 1/2 of a inch long. she cut a 6-inch piece of string into pieces that are 1/2 of an inch long
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Li needs 3 more pieces, an 1 and 1/2 cut into 3 pieces.
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Step-by-step explanation:

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3 years ago
You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π c
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3 years ago
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