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Firlakuza [10]
3 years ago
15

Hey can u help me with this ​

Mathematics
1 answer:
Liula [17]3 years ago
8 0

Answer:

24 cubes

Step-by-step explanation:

First, we need to find the volume of the prism. To do this, we multiply the length by the width by the height, so 1 \cdot 2 \cdot \frac {3}{2} = 3. Then, we need to find the volume of one small cube, which has a length, width, and height of \frac {1}{2}, so \frac {1}{2} \cdot \frac {1}{2} \cdot \frac {1}{2} = \frac {1}{8}. Then we divide the volume of the prism by the volume of a cube to find how many could fit, so 3 \div \frac {1}{8} = 24.

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Select the correct expressions. 1 Identify each expression that represents the slope of a tangent to the curve y= * +1 at any po
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The expressions which represents the slope of a tangent to the curve y=\frac{1}{x+1} at any point (x, y) are:

                                ​f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}

<h3>The slope of a tangent to the curve.</h3>

Mathematically, the slope of a tangent line to the curve is given by this equation:

f'(x) =limh \rightarrow 0\frac{f(x+h)-f(x)}{h}

Given the function:

f(x)=y=\frac{1}{x+1}

When (x + h), we have:

f(x+h)=y=\frac{1}{x+h+1}

Next, we would find the derivative of f(x):

f'(x) =limh \rightarrow 0\frac{\frac{1}{x+h+1} -\frac{1}{x+1}}{h}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -(x+h+1)}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -x-h-1}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}\\\\f'(x) = \frac{-1}{(x+1)(x+1)} \\\\f'(x) = \frac{-1}{(x+1)^2}

Read more on slope of a tangent here: brainly.com/question/26015157

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