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Sergio039 [100]
3 years ago
5

Hello could you help me on this calculus

Mathematics
1 answer:
mart [117]3 years ago
7 0
Hello,

d f(x²-1)/dx=f'(x²-1)*2x
if x=2 then f'(2²-1)*2*2 =f'(3)*4=-4*4=-16

Answer A

If you need explains:

let's y=x²-1

df(x²-1)/dx=df(y)/dy*(dy/dx)=f'(x²-1)*2x
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Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the diagonal distance across a r
slamgirl [31]

Will ran the longest

He ran for 56.57 yards, 13.56 yards longer than James.

Step-by-step explanation:

Step 1 :

Will ran the diagonal across a square field measuring 40 yards in each side.

The diagonal of a square can be obtained by the square root of the sum of the squares of its 2 sides [Because it forms the hypotenuse of a right angle triangle]

Hence when the side is 40 yards , the diagonal would be

\sqrt{40^{2} + 40^{2}}  = \sqrt{1600 + 1600}   = \sqrt{3200}  =56.57 yards

So Will ran for 56.57 yards

Step 2 :

James ran the diagonal of a rectangular field with 25 yards length and 35 yards width.

The diagonal of the rectangle can be obtained by the square root of the sum of squares of its length and width.

Hence when the length is 25 yards and width is 35 , the diagonal would be

\sqrt{35^{2} + 25^{2}}  = \sqrt{1225 + 625}} = \sqrt{1850} = 43.01 yards

So James ran for 43.01 yards

Step 3 :

Will ran for 56.57 yards and 43.01 yards.

Hence Will ran for longer distance of 56.57 yards, which is 13.56 yards more than James.

5 0
3 years ago
Darcy read 1 and 1⁄2 chapters in her textbook in 1⁄2 an hour. How many chapters did she read per hour?
Marina86 [1]

Answer:

She read her textbook at a speed of 3 chapters per hour.

8 0
3 years ago
If 5 dozen roses can be purchased for $62.50, how much will 8 dozen cost?
lesya692 [45]

Source: Net

Let x represent the cost of a dozen roses. 5 dozen roses can be purchased for $62.50 . Consider the following equation. 5x = $62.50. Here the product and factor are known, thus divide by the factor on both sides of the equation.

5x   $62.50

--  =     --

5     $12.50

Now to find out the cost of 8 dozens multiply the value of x by 8.

8x=8 ($12.50) = $100

Answer would be $100.

5 0
3 years ago
Read 2 more answers
What is the answer? I'll give brainiest to whoever is right
drek231 [11]

Answer:

5) 0 6 ) 1/4

Step-by-step explanation:

So the slope ( gradient ) of line E is 0 because it is straight and it as no slope

The slope of line F is 1/4 because:

Gradient = y^2 - y^1 / x^2 - x^1

Gradient = 2-0 / 6- -2

Gradient= 2 / 8

2/8 in lowest term is 1/4

YOU MIGHT AVE A DIFFERENT METHOD BUT ANSWERS MUST BE THE SAME.

HOPE IT HELPED

5 0
2 years ago
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
Nata [24]

Answer: 5x-3y=44

Step-by-step explanation:

We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

(y-b)=\dfrac{d-b}{c-a}(x-a)

Standard form of equation of line = Ax+By=C

Given points =  (7, -3) and (4, -8)

Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

(y-(-3))=\dfrac{-8-(-3)}{4-7}(x-7)

(y+3)=\dfrac{-8+3}{-3}(x-7)   [∵ (-)(-)=(+)]

(y+3)=\dfrac{-5}{-3}(x-7)

(y+3)=\dfrac{5}{3}(x-7)

3(y+3)=5(x-7)

3y+9=5x-35

9+35=5x-3y

44=5x-3y

Or 5x-3y=44

Hence, the required equation :-5x-3y=44

4 0
3 years ago
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