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almond37 [142]
3 years ago
10

Hey, really need help with this question, thanks. Find the derivative of f(x) = -10/x at x = -12.

Mathematics
1 answer:
Vikki [24]3 years ago
5 0
F(x)=-10/x

The rule for the derivative of a quotient is

if f(x)=g(x)/h(x)

df/dx=((dg/dx)*h(x)-(dh/dx)*g(x))/(h(x))^2

In this case:

df/dx=(-1(-10))/x^2

df/dx=10/x^2, so df/dx(-12)

df/dx(-12)=10/(-12)^2

df/dx(-12)=10/144

df/dx(-12)=5/72
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Answer:

765 J

Step-by-step explanation:

We are given;

Mass of bucket = 30 kg

Mass of rope = 0.3 kg/m

height of building= 30 meter

Now,

work done lifting the bucket (sand and rope) to the building = work done in lifting the rope + work done in lifting the sand

Or W = W1 + W2

Work done in lifting the rope is given as,

W1 = Force x displacement

W1 = (30,0)∫(0.2x .dx)

Integrating, we have;

W1 = [0.2x²/2] at boundary of 30 and 0

W1 = 0.1(30²)

W1 = 90 J

work done in lifting the sand is given as;

W2 = (30,0)∫(F .dx)

F = mx + c

Where, c = 30 - 15 = 15

m = (30 - 15)/(30 - 0)

m = 15/30 = 0.5

So,

F = 0.5x + 15

Thus,

W2 = (30,0)∫(0.5x + 15 .dx)

Integrating, we have;

W2 = (0.5x²/2) + 15x at boundary of 30 and 0

So,

W2 = (0.5 × 30²)/2) + 15(30)

W2 = 225 + 450

W2 = 675 J

Therefore,

work done lifting the bucket (sand and rope) to the top of the building,

W = 90 + 675

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mamaluj [8]

Answer:

confusion

Step-by-step explanation:

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3 years ago
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HACTEHA [7]

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Answer:

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For h negative, shift is to the left.

5 0
3 years ago
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azamat

Answer:

Step-by-step explanation:

The first term is simply a(1), and is 5.

The fourth term is a(4), and is 5 + (1/6)(4-1), or 5  3/6  or 5 1/2.

The tenth term is a(10), and is 5 + (1/6)(10 - 1), or 5  + 3/2, or  6 1/2.

4 0
4 years ago
What is the area of a regular hexagon with a side length of 5.2 centimeters and a distance from the center to a vertex of 5.2 ce
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The area of a regular hexagon is A=(3√3/2)a², a is the side length.
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C is the correct answer
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3 years ago
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