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3 years ago

The lines graphed below are perpendicular. The slope of the red line is -2.

Mathematics

1 answer:

ASHA 777 [7]3 years ago

4 0

Answer:

1/2

Step-by-step explanation:

opposite reciprocal

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Use the algebraic procedure explained in section 8.9 in your book to find the derivative of f(x)=1/x. Use h for the small number

Triss [41]

Answer:

By definition, the derivative of f(x) is

$lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$

Let's use the definition for $f(x)=\frac{1}{x}$

$lim_{h\rightarrow 0} \frac{\frac{1}{x+h}-\frac{1}{x}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{x-(x+h)}{x(x+h)}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{(-1)h}{x^2+xh}}{h}=\\lim_{h\rightarrow 0} \frac{(-1)h}{h(x^2+xh)}=\\lim_{h\rightarrow 0} \frac{-1}{x^2+xh)}=\frac{-1}{x^2+x*0}=\frac{-1}{x^2}$

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3 years ago

4.6w - 3 + 6.4x - 1.9y

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Answer:

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Logarithms:

WITCHER [35]

Answer:

A) k = 18.75
B) R(0.8) = 161419
C) R(0.3) = 275

Step-by-step explanation:

Given expression

R(x) = 6*e^(kx)

A) Given

x = 0.04
R = 10

Solving for k

10 = 6*e^(0.04k)
e^(0.04k) = 10/6
ln (e^0.04k) = ln (1.6666)
0.04k = 0.51
k = 0.51/0.04
k = 12.75

B) Given

x = 0.8
R= ?

The value of R(0.8) is:

R(0.8) =
6*e^(0.8*12.75) =
6*e^(10.2) =

161419 rounded

C) Given

x = 0.3
R = ?

The value of R(0.3) is:

R(0.3) =
6*e^(0.3*12.75) =
6*e^(3.825) =

275 rounded

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3 years ago