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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 diameter of a circle is 3 meters. What is the circumference?
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3 0
3 years ago
Linda is 12 years younger than her sister Laura. Together their total age is 18. How old is Linda? How old is Laura?
geniusboy [140]

Answer:

Linda: 3 ; Laura: 15

Step-by-step explanation:

Note that Linda + Laura's age is 18, and that Linda is 12 years younger than her sister.

Let "Linda" = x , "Laura" = y:

x + y = 18

x = y - 12

First, plug in y - 12 for x in the first equation:

(y - 12) + y = 18

Simplify.

2y - 12 = 18

Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First add, then divide.

2y - 12 (+12) = 18 (+12)

2y = 18 + 12

2y = 30

(2y)/2 = (30)/2

y = 30/2

y = 15

Next, plug in 15 for y in the second equation (the other equation would work too).

x = y - 12

x = (15) - 12

x = 3

Linda's age is 3, Laura's age is 15.

~

7 0
3 years ago
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