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Brilliant_brown [7]
3 years ago
12

If f(×)= (sinx+1) / e^x+2, then f'(x) equals

Mathematics
1 answer:
pshichka [43]3 years ago
7 0

Answer:

The derivative is \frac{\cos x - \sin x-1}{e^x}

Step-by-step explanation:

(\frac{\sin x+1}{e^x}+2)'=\frac{e^x\cos x-e^x(\sin x +1)}{e^{2x}}=\frac{\cos x - \sin x-1}{e^x}

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The following are quality control data for a manufacturing process at Kensport Chemical Company. The data show the temperature i
beks73 [17]

Answer:

See explaination

Step-by-step explanation:

Refer to attached file for table used in solving mean.

The mean of range is

\bar{R}=\frac{13.3}{20}=0.665

The mean of all six means:

\bar{\bar{x}}=\frac{1907.96}{20}=95.398

(a)

Here sungroup size is 5:

Range chart:

From constant table we have

D_{4}=2.114

So upper control limit:

UCL_{R}=D_{4}\cdot \bar{R}=2.114\cdot 0.665=1.40581

Lower control limit:

LCL_{R}=0.0000

Central limit: \bar{R}=0.665

Since all the range points are with in control limits so this chart shows that process is under control.

-----------------------------

X-bar chart:

From constant table we have

A_{2}=0.577

So upper control limit:

UCL_{\bar{x}}=\bar{\bar{x}}+A_{2}\cdot \bar{R}=95.398+0.577\cdot 0.665=95.78

Lower control limit:

LCL_{\bar{x}}=\bar{\bar{x}}-A_{2}\cdot \bar{R}=95.398-0.577\cdot 0.665=95.01

Central limit: \bar{\bar{x}}=95.398

Sample number 94.82 is not in teh limits of x-bar chart so it seems that process is not in control

4 0
3 years ago
Let X be the number of successes in six independent trials of a binomial experiment in which the probability of success is
Helen [10]

Answer:

b

Step-by-step explanation:

4 0
2 years ago
Determine the domain and range of the function . f(x)=2 3√ 108^2x {x| all real numbers}; {y| y > 0} {x| all real numbers}; {y
Gala2k [10]

Answer:

Domain : {x | all real numbers} ; Range: {y | y > 0}

Step-by-step explanation:

The function can be written as :

f(x)=\sqrt[\frac{2}{3}]{108^{2\cdot x}}\\\\\implies f(x)=(108)^{(\frac{3}{2})^{2\cdot x}}

Now, since x is exponent so it can take any real values. So, its domain of f(x) is all real numbers

But value of f(x) can not be less than 1 because for x = 0 the value of f(x) is 1 and also for any values of x, the value of f(x) can never be less than 1

So, Range of f(x) is all real numbers greater than 0

Hence, Domain and Range of f(x) is given by :

Domain : {x | all real numbers} ;

Range: {y | y > 0}

4 0
3 years ago
Read 2 more answers
Kayla is running for charity. Her dad pledges to give her $0.50 per mile she runs. Her mom pledges to give her a flat donation o
amm1812

Answer:

  10 miles

Step-by-step explanation:

Let m represent the number of miles Kayla runs. We want to find m such that ...

  0.50m = 5.00

Divide by the coefficient of m:

  m = 5.00/0.50 = 10

Kayla has to run 10 miles to get the same donation from both parents.

5 0
3 years ago
Let g(x) = |x + 1|, solve the equation g(x) = 2x + 4
hammer [34]

Answer:

Step-by-step explanation:

g(x)= -x-1 or g(x) = x+1

if g(x) = -x-1

-x-1=2x+4

-x=2x+5

-x/2=x+5

-x/2 -x=5

-x/2-2x/2=5

-x-2x=5

-3x=5

x=5/-3

if g(x) = x+1

x+1=2x+4

x=2x+3

x/2=x+3

x/2-x=3

x/2-2x/2=3

x-2x=3

-x=3

x=3

5 0
2 years ago
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