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Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.f(x) = -5e

Answers

Answer 1

Answer:

Answer:

$f'(x)=-5ae^(ax)=a f(x)$ , where a be a constant.

Step-by-step explanation:

Note: The given functions is a constant function because variable term is missing.

Consider the given function is

$f(x)=-5e^(ax)$

where a be a constant.

We need to find the derivative of the function.

Differentiate with respect to x.

$f'(x)=(d)/(dx)(-5e^(ax))$

$f'(x)=-5(d)/(dx)(e^(ax))$

$f'(x)=-5e^(ax)(d)/(dx)(ax)$ $[\because (d)/(dx)(e^x)=e^x]$

$f'(x)=-5ae^(ax)$

$f'(x)=a(-5e^(ax))$

$f'(x)=a f(x)$

Therefore, the derivative of the function is $f'(x)=-5ae^(ax)=a f(x)$ .

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juan utiliza su bicicleta para hacer deporte cada dia recorre 10 kilometros a la mañana y 5 kilometros a la tarde ¿cuantos kilometros recorre e total al cabo de 5dias?

Answers

Answer:

75 kilómetros.

Step-by-step explanation:

Dado que Juan utiliza su bicicleta para hacer deporte, y cada día recorre 10 kilómetros a la mañana y 5 kilómetros a la tarde, para determinar cuántos kilómetros recorre en total al cabo de 5 días se debe realizar el siguiente cálculo:

(10 + 5) x 5 = X

15 x 5 = X

75 = X

Por lo tanto, Juan recorre 75 kilómetros al cabo de 5 días.

Find the value of x 120° (2x-10°

Answers

The answer would be 2x-1

Final answer:

The question appears to involve solving a trigonometry problem for 'x', but since the equation is not complete, a definitive answer can't be provided. A possible solution process has been suggested if the equation was 120° = 2x - 10°.

Explanation:

It appears that the student is asking for help with a trigonometry problem, perhaps regarding the solution of equations involving angles. Given the presence of 'x' and 'degrees', it suggests the need to solve for 'x' in an equation involving degrees.

Unfortunately, the equation seems incomplete: '120° (2x-10°'. The closing parenthesis is missing, which means we can't accurately determine the equation to solve. In general, if the equation was 120° = 2x - 10° for example, the solution process would involve the following steps:

Add 10° on both sides to get 130° = 2x.
Next, divide both sides by 2 to solve for 'x'. Hence, x = 65°.

But without a clear equation to work with, it's not possible to deliver a definitive answer to your question.

Learn more about Trigonometry here:

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Give the numerical value of the parameter p in the following binomial distribution scenarioA softball pitcher has a 0.721 probability of throwing a strike for each pitch and a 0.279 probability of throwing a ball. If the softball pitcher throws 19 pitches, we want to know the probability that more than 15 of them are strikes.

Answers

Answer:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)$

$P(X=16)=(19C16)(0.721)^(16) (1-0.721)^(19-16)=0.112$

$P(X=17)=(19C17)(0.721)^(17) (1-0.721)^(19-17)=0.051$

$P(X=18)=(19C18)(0.721)^(18) (1-0.721)^(19-18)=0.015$

$P(X=19)=(19C19)(0.721)^(19) (1-0.721)^(19-19)=0.002$

And replacing we got:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^(n-x)$

Where (nCx) means combinatory and it's given by this formula:

$nCx=(n!)/((n-x)! x!)$

Solution to the problem

For this case our random variable is given by:

$X \sim Binom(n = 19, p = 0.721)$

For this case we want this probability:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)$

$P(X=16)=(19C16)(0.721)^(16) (1-0.721)^(19-16)=0.112$

$P(X=17)=(19C17)(0.721)^(17) (1-0.721)^(19-17)=0.051$

$P(X=18)=(19C18)(0.721)^(18) (1-0.721)^(19-18)=0.015$

$P(X=19)=(19C19)(0.721)^(19) (1-0.721)^(19-19)=0.002$

And replacing we got:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801$

$P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

Final answer:

In this binomial distribution scenario, the parameter 'p', representing the probability of success on each trial, is the probability of the pitcher throwing a strike, which is 0.721.

Explanation:

In the binomial distribution scenario you described, the softball pitcher throwing a pitch is the independent trial with two possible outcomes: throwing a strike (success) or a ball (failure). The parameter p represents the probability of success on each independent trial. From the question, we can see that the probability, or p, of the pitcher throwing a strike (success) is 0.721. Therefore, p = 0.721.

Please note that the binomial distribution model can be used when all trials are independent, the outcome of a trial is success or failure, and the probability of success remains the same for each trial. It doesn't appear that we need the number 'n' of independent trials or the random variable 'X' representing the number of successes (strikes in this case) for your question, as we were only asked for the value of 'p'.

Learn more about Binomial Distribution here:

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Which is the graph of a logarithmic function?On a coordinate plane, a parabola is shown.

On a coordinate plane, a function is shown. It approaches the x-axis in quadrant 2 and then increases into quadrant 1. It goes through (0, 1) and (1, 2).

On a coordinate plane, a function is shown. It approaches the y-axis in quadrant 4 and approaches y = 2 in quadrant 1. It goes through (1, 0) and (3, 1).

On a coordinate plane, a hyperbola is shown.

Answers

Answer:

the third one

Step-by-step explanation:

you can cross out parabola and hyperbola. the second graph is an exponential function because exponential functions go through (0,1), While logarithmic functions go through (1,0).

Answer:

Option 3

Step-by-step explanation:

Edge 2021

Please help me
Thank you.

Answers

Answer:

(8, -1)

General Formulas and Concepts:

Algebra I

Reading a coordinate plane
Coordinates (x, y)
Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations. The systems of equations intersect at (8, -1).

-2(bx-5)=16 what is the value of x in terms of b and what is the value of x when b is 3?

Answers

Answer= -54

-2(bx-5)=16

If b is 3, then it changes to -2(3x-5)=16

We want to find x, right? Then we must do -2•3x and -2(-5). The result would be -6x and 10.

Then again, the equation would change -6x+10=16
Which would be -6x=6
Is x=6/6

And then x would be 1

Please tell me what I did wrong and if it is wrong, comment on this and I’ll fix my mistake!^^

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