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torisob [31]
3 years ago
12

Differentiate with respect to x (and simplify): 2x(1-x)^3 I need to show working out. I will mark the best answer BRAINLIEST

Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

First of all expand the terms

2x(1-x)³ = 2x( 1 - 3x + 3x² - x³)

Multiply by 2x

You will get

2x - 6x² + 6x³ -2x⁴

Differentiate each of the terms using differentiation rules

You will get

2 - 12x + 18x² - 8x³

So the final answer is

- 8x³ + 18x² - 12x + 2

Hope this helps.

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A guy wire for a suspension bridge runs from the ground diagonally to the top of the closest pylon to make a triangle. We can us
PolarNik [594]

Answer:

The guy wire lenght is 500 ft.

Step-by-step explanation:

The Pythagorean Theorem says the sum of the squares two adyacent sides is equal to the square of the opposite side.

Applied in this example, we can rephrase it as:

The sum of the square of the pylon height with the square of the distance from the guy wire tip to the pylon is Equal to the  square of the Guy wire lenght.

So:

PylonHeight^{2}  + floordistance^{2} = GuyWireLength^{2} \\160.000 + 90.000 = GuyWireLength^{2} \\\\\sqrt{160.000 + 90.000} =GuyWireLength\\GuyWireLength= 500 ft

4 0
4 years ago
Can you show your work 12/2=9/?
timama [110]
Since this is a proportion, we cross multiply.
12/2=9/x (The variable "x" is used the represent the unknown number, and this is the number we are solving for)
12*x=2*9 (Cross multiply)
12x=18 (Simplify)
x=18/12 (Divide each side by 12)
x = 3/2 (Simplify fraction)
The unknown number is 3/2, or 1.5.
3 0
3 years ago
Read 2 more answers
What is the scale factor of the dilation?
dusya [7]

Answer:

\dfrac{1}{2}

Step-by-step explanation:

It is given that triangle ACB is the preimage and triangle DFE is the image.

We need to find the scale factor of the dilation.

\text{Scale factor}=\dfrac{\text{Side of image}}{\text{Corresponding side of preimage}}

In the given triangles, side AC and DF are corresponding sides.

\text{Scale factor}=\dfrac{DF}{AC}

\text{Scale factor}=\dfrac{6}{12}

\text{Scale factor}=\dfrac{1}{2}

Therefore, the scale factor of the dilation is \dfrac{1}{2}.

6 0
4 years ago
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mario62 [17]

Answer:

-7

Step-by-step explanation:

Maybe

6 0
3 years ago
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PLEASE ANSWER ASAP, 50 POINTS PLEASEEE!
NeX [460]

Answer:

(0,-7) (5,3) (-5,-11) (10,1) theres a bunch of the points

hope this helps, if so hit that thanks button ;D

Step-by-step explanation:


3 0
4 years ago
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