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4 years ago

Find the derivative of f(x) = 3/x at x = 1

Mathematics

1 answer:

aniked [119]4 years ago

6 0

Answer:

- 3

Step-by-step explanation:

Differentiate f(x) using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given f(x) = $\frac{3}{x}$ = 3 $x^{-1}$ , then

f'(x) = - 3 $x^{-2}$ = - $\frac{3}{x^2}$

f'(1) = - $\frac{3}{1}$ = - 3

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If a chain is on 24 tooth front gear and 8 tooth rear gear determine whether this combination will result in high speed than a 2

marta [7]

24/8 = 3

the 24 to 8 gear = 3:1 ratio which is greater than 2:1

4 0

3 years ago

Ana drew a map of the Panama Canal. In the scale Ana used for the map 4 centimeters represents 20 kilometers. The actual length

Serga [27]

the length in centimeters of the Panama Canal on Anas map is $16.4cm$ .

<u>Step-by-step explanation:</u>

Here we have , Ana drew a map of the Panama Canal. In the scale Ana used for the map 4 centimeters represents 20 kilometers. The actual length of the Panama Canal is 82 kilometers. We need to find What is the length in centimeters of the Panama Canal on Anas map . Let's find out:

In the scale Ana used for the map 4 centimeters represents 20 kilometers , that means for 4 cm we have 20 km , So for 1 km we have :

⇒ $\frac{4}{20}cm$

⇒ $\frac{4(5)}{20(5)}cm$

⇒ $\frac{20}{100}cm$

⇒ $0.2cm$

Hence , for 82 km we have :

⇒ $0.2cm(82)$

⇒ $(82(0.2))cm$

⇒ $16.4cm$

Therefore , the length in centimeters of the Panama Canal on Anas map is $16.4cm$ .

5 0

3 years ago

Which expression is equivalent to 8.6(x – 1) + 8x

Westkost [7]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

8.6(x – 1) + 8x Equation/Question

Step 2

8.6(x-1) + 8x Simplify

8.6x+-8.6+8x

Step 3

8.6x+-8.6+8x Combine the terms

(8.6x+8x)+(-8.6)

Step 4

(8.6x+8x)+(-8.6) Add them

Answer

16.6x-8.6

Hope this helps

5 0

3 years ago

two bicycle riders start from the same point and ride in opposite directions. one rider is moving twice as the other. in 3 hours

Artist 52 [7]

Let the speed of one rider = x

The speed of the second rider would e 2x ( twice as fast)

The total speed of the two riders would be x + 2x = 3x

Speed = Distance / time

Using the numbers:

3x = 72/3

Simplify:

3x = 24

Divide both sides by 3:

x = 8

The speed of one rider is 8 miles per hour

The speed of the second rider is 2(8) = 16 miles per hour.

5 0

3 years ago

Rewrite using necessary or sufficient condition, as appropriate: "if the oven is hot then you may put the cake in."

borishaifa [10]

Answer:

Answered

Step-by-step explanation:

"if the oven is hot then you may put the cake in". This the premise.

Now, The necessary condition will be "If the oven is hot" meaning the cake can be put inside the oven only when the oven is hot and not otherwise. So, here the hotness of the oven becomes the necessary condition.

"Oven is hot" is the necessary condition "to put the cake in"

4 0

3 years ago