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ale4655 [162]
3 years ago
8

Graph the function y= 2.2 - |0.4x + 1|. what are the coordinates, to the nearest tenth, of the maximum of the graph.

Mathematics
1 answer:
Andrej [43]3 years ago
3 0

Answer:

B

Step-by-step explanation:

no explanation.......

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3 years ago
Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .
tankabanditka [31]

Answer:

Slope of a tangent to the curve = f'(x) = \frac{-1 }{(x+1)^{2} }

Step-by-step explanation:

Given - y = 1/x+1

To find - Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .

Proof -

We know that,

Slope of tangent line = f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}

We have,

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

So,

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

Now,

Slope = f'(x)

And

f'(x) =  \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}  \\= \lim_{h \to 0} \frac{\frac{1}{x+h+1}  - \frac{1}{x+1} }{h}\\= \lim_{h \to 0} \frac{x+1 - (x+h+1) }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{x +1 - x-h-1 }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{-h }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{-1 }{(x+1)(x+h+1)}\\=  \frac{-1 }{(x+1)(x+0+1)}\\=  \frac{-1 }{(x+1)(x+1)}\\=  \frac{-1 }{(x+1)^{2} }

∴ we get

Slope of a tangent to the curve = f'(x) = \frac{-1 }{(x+1)^{2} }

6 0
3 years ago
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