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solniwko [45]
2 years ago
11

What is the answer to this calculus problem???

%7Bx%7D%20cos%20%5C%3A%20x%29" id="TexFormula1" title=" \frac{d}{dx} (e {}^{x} cos \: x)" alt=" \frac{d}{dx} (e {}^{x} cos \: x)" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Len [333]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Differentiate using the product rule

Given y = f(x)g(x), then

\frac{dy}{dx} = f(x). g'(x) + g(x). f'(x)

here f(x) = e^{x} ⇒ f'(x) = e^{x}

g(x) = cosx ⇒ g'(x) = - sinx

Hence

\frac{dy}{dx} = e^{x}(- sinx) + cosx e^{x}

                                   = e^{x}cosx - e^{x}sinx

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A contractor is in charge of hiring people for a construction project. The number of days it would take to complete the project
sweet-ann [11.9K]

Answer:

\text{Domain of x}=[1,\infty), x \in Z^+

Step-by-step explanation:

Given the function: f(x)=\dfrac{280}{x},$ where:

f(x) =number of days it would take to complete the project

x =number of full-time workers.

\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days

The domain of a function is the complete set of possible values of the independent variable.

In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.

Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).

\text{Domain of x}=[1,\infty), x \in Z^+

7 0
3 years ago
10+5-7=3y<br><br> -10x+5x+5=-15<br><br> 3x+2x-4x+10<br><br> pre algebra 8th grade math
jasenka [17]

Answer:

1) y=8/3=2 2/3   2) x=4    3) x+10

Step-by-step explanation:

1) 10+5-7=3y

Calculate the sum or difference.

8=3y

Swap the sides of the equation.

3y=8

Divide both sides by 3.

y=8/3=2 2/3

2) -10x+5x+5=-15

Collect like terms.

-5x+5=-15

Move the constant to the right-hand side and change the sign.

-5x=-15-5

Calculate the difference.

-5x=-20

Divide both sides by -5.

x=4

3) 3x+2x-4x+10

Collect like terms.

(3+2-4)x+10

Calculate the sum or difference.

1x+10

When the term has a coefficient of 1, it doesn't have to be written.

x+10

Hope this helps :)

5 0
2 years ago
Let each square represent 1/3 unit by 1/3 unit
7nadin3 [17]
4110000 is the answer
4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=180%20%5Cdiv%20460%20%3D%20simplified%20%5C%3A%20fraction" id="TexFormula1" title="180 \div 46
Anuta_ua [19.1K]

first you would put the expression in a fraction for

180/460

you already know that the both numbers are divisible by 2

  • so the answer would be 90/230 but we are still no done because these values are divisible by three

the rule to prove that the number is divisible by three is when you add the digits of the number for example 333. 3+3+3=9 and nine is divisible by nine

THE ANSWER IS:::::::: 90/230


5 0
2 years ago
PLEASE HELP FAST
Pachacha [2.7K]
C, I was in class this morning and we say the formula for this is $6000 x 1.15 to the power of 5. That is $12068.14

Hope I could help :)

5 0
3 years ago
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