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ahrayia [7]
4 years ago
15

In Exercise, find the derivative of the function. Y = 25e-0.001t

Mathematics
1 answer:
Illusion [34]4 years ago
8 0

Answer:

Y'(t) = 0.025e^{-0.001t}

Step-by-step explanation:

The derivative of a constant multiplied by a function is the constant multiplied by the derivative of the function.

So

(a*f(x))' = a*f'(x)

If we have an exponential function, in the following format:

f(x) = e^{ax}

The derivative is:

f'(x) = a*e^{ax}

In this problem, we have that:

Y(t) = 25e^{-0.001t}

The derivative is

Y'(t) = -0.001*25e^{-0.001t} = 0.025e^{-0.001t}

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70=x+16? Show how to do
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2 years ago
A communications company has developed three new designs for a cell phone. To evaluate consumer response, a sample of n = 120 co
defon

Answer:

The answer is "Its results are not consistent with its three designs Yes. Its results show significant differences between both the three designs."

Step-by-step explanation:

Following are the distribution of preference:  

Design 1 =54 \\\\ Design 2=38 \\\\\ Design 3=28 \\\\

Design \ \ \ \ \ \ \ \ \ \ O_i \\ 1 \ \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ 54 \\2  \ \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ 38\\3 \ \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \  28 \\Total \ \ \ \ \ \ \ \ \ \ 120

An expected frequency(E_i) has 40 Null hypotheses to take n=120.to each design:  

The effects of the three designs are standardized  

Inaccurate.  

Hypothesis Alternative:  

The effects of the three prototypes are not uniform

Degrees Of freedom =(n-1)=(3-1)=2

H_o, x^2  \ test\  statistic \  \sum_i {\frac{(O_i -E_i)^2}{E_i}} \\

= \frac{(54 -40)^2}{40}+\frac{(38-40)^2}{40} + \frac{(28-40)^2}{40}\\\\=49+0.1+3.6\\\\=8.6

Chi-squared distribution critical value at \alpha = 0.05 (x^2 _{0.052})=5.99  

Since x^2, a value > x^2 -table of \alpha =0.05 =5.99is determined.  

SoH_o is rejected.

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3 years ago
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3 is correct answer!!
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