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dalvyx [7]
3 years ago
14

In Exercise, find the derivative of the function. y = 7ex+2 + 2x

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

Answer of the question will be 7e^x+2

Step-by-step explanation:

We have given function y=7e^x+2+2x

We have to find the derivative of the function, that is \frac{dy}{dx}

So \frac{dy}{dx}=7\frac{d}{dx}e^x+\frac{d}{dx}2+2\frac{d}{dx}x=7e^x+0+2=7e^x+2

So derivative of the function will be 7e^x+2

So answer of the question will be 7e^x+2

You might be interested in
An individual repeatedly attempts to pass a driving test. Suppose that the probability of passing the test with each attempt is
vladimir1956 [14]

Answer:

a) Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25

For this case the probability mass function would be given by:

P(X= k) = (1-p)^{k-1} p , k = 1,2,3,...

b) P(X \leq 3) = P(X=1) +P(X=2) +P(X=3)

P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25

P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875

P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406

And adding the values we got:

P(X \leq 3) =0.25+0.1875+0.1406=0.578

c) P(X \geq 5) = 1-P(X

And we can find the individual probabilities:

P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25

P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875

P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406

P(X= 4) = (1-0.25)^{4-1} *0.25 = 0.1055

P(X \geq 5) = 1-[0.25+0.1875+0.1406+0.1055]= 0.316

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

Let X the random variable that measures the number of trials until the first success, we know that X follows this distribution:

X\sim Geo (1-p)

Part a

Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25

For this case the probability mass function would be given by:

P(X= k) = (1-p)^{k-1} p , k = 1,2,3,...

Part b

We want this probability:

P(X \leq 3) = P(X=1) +P(X=2) +P(X=3)

We find the individual probabilities like this:

P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25

P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875

P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406

And adding the values we got:

P(X \leq 3) =0.25+0.1875+0.1406=0.578

Part c

For this case we want this probability:

P(X \geq 5)

And we can use the complement rule like this:

P(X \geq 5) = 1-P(X

And we can find the individual probabilities:

P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25

P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875

P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406

P(X= 4) = (1-0.25)^{4-1} *0.25 = 0.1055

P(X \geq 5) = 1-[0.25+0.1875+0.1406+0.1055]= 0.316

3 0
3 years ago
What is 7 1/2 - 4 1/4
GarryVolchara [31]
The answer is 3.25 or 3 1/4
6 0
3 years ago
Read 2 more answers
Erica went shopping for new clothes for school. She bought a pair of jeans for $35.99 and several shirts for $11.33 each. If x
GuDViN [60]

Answer:

Simplify

x

=

35.99

dollar

11.33

dollar

.

x

=

3.1765225

Step-by-step explanation:

7 0
1 year ago
99 POINTS!!! Please help me ASAP!
PilotLPTM [1.2K]

Answer:

F, T, F, T, T, F, F

hope this helps :)

4 0
3 years ago
HELP PLZZ WHAT IS THE ANSWER DON't SEND A FILE PLZ explain step by step
lana66690 [7]

Answer:

x + 6, y - 4

Step-by-step explanation:

The original image would be the blue triangle, so you need to see how many units it takes to get to the red triangle.

Let's focus on R and R'.

You need to move 6 units to the right, and 4 units down to get from R to R'.

It would then be the same for the other two points.

4 0
3 years ago
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