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solniwko [45]
3 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]3 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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-40-2(3m+1/2)=7m-2<br> Solve for m please<br> Thank you.
Anvisha [2.4K]

Answer:

{-3}

Step-by-step explanation:

Раскроем скобки:

- 40 - 6m - 1 = 7m - 2

Перенесем все, что с m, в левую часть:

- 13m = 39

m = -3

4 0
3 years ago
Read 2 more answers
Please help its urgent ​
hram777 [196]

Answer:

<h2>Function is y = x.</h2><h2>Domain: -3 \leq x \leq 2.</h2><h2>Range: -5 \leq y \leq 4.</h2>

Step-by-step explanation:

In the given image, the line passes through (-1, -1) and (1, 1).

Let the equation of the line is y = mx + c, where m is the tangent of the line and c is a constant.

Putting the co-ordinates of the points in the equation, we get -1 = -m + c and 1 = m + c

From the two equations we get, c = 0 and m = 1.

Hence, the function is y = x.

Domain is -3 \leq x \leq 2.

Range is -5 \leq y \leq 4

5 0
3 years ago
Find the difference quotient and simplify your answer. f(x) = 4x − x2, f(4 + h) − f(4) h , h ≠ 0
Anon25 [30]

The difference quotient and simplification will be    = [4 -h-2x]

The given equation is as follows:   f(x)= 4x - x²

For finding the quotient and further simplification we must follow the following steps:

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

<h3>What is simplification of algebraic operations?</h3>

Getting the functions in their lowest terms is known as simplification.

Brackets will get open and solved further;

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h  

Finally dividing the whole equation with h;

                                = [4 - h - 2x] 

Learn more about algebraic operations,

brainly.com/question/12485460

# SPJ1

7 0
1 year ago
Does anyone know this?? ​
Evgesh-ka [11]
The answer is letter A
7 0
3 years ago
If 1/2x = a= 2/3y and x + y= na, what is the value of n?
Fynjy0 [20]

Answer:

Step-by-step explanation:

\frac{1}{2} x=a=\frac{2}{3} y\\\frac{1}{2}x=a\\x=2a \\\frac{2}{3} y=a\\y=\frac{3}{2} a\\x+y=2a+\frac{3}{2} a=\frac{4a+3a}{2} =\frac{7}{2} a=na\\n=\frac{7}{2}

4 0
2 years ago
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