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AnnyKZ [126]
3 years ago
15

Giving brainliest to the CORRECT answer

Mathematics
1 answer:
eimsori [14]3 years ago
3 0

brainliest pls pls pls

Step-by-step explanation:

x is greater than 1

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Find a point on the curve x^3+y^3=11xy other than the origin at which the tangent line is horizontal.
attashe74 [19]

Compute the derivative dy/dx using the power, product, and chain rules. Given

x³ + y³ = 11xy

differentiate both sides with respect to x to get

3x² + 3y² dy/dx = 11y + 11x dy/dx

Solve for dy/dx :

(3y² - 11x) dy/dx = 11y - 3x²

dy/dx = (11y - 3x²)/(3y² - 11x)

The tangent line to the curve is horizontal when the slope dy/dx = 0; this happens when

11y - 3x² = 0

or

y = 3/11 x²

(provided that 3y² - 11x ≠ 0)

Substitute y into into the original equation:

x³ + (3/11 x²)³ = 11x (3/11 x²)

x³ + (3/11)³ x⁶ = 3x³

(3/11)³ x⁶ - 2x³ = 0

x³ ((3/11)³ x³ - 2) = 0

One (actually three) of the solutions is x = 0, which corresponds to the origin (0,0). This leaves us with

(3/11)³ x³ - 2 = 0

(3/11 x)³ - 2 = 0

(3/11 x)³ = 2

3/11 x = ³√2

x = (11•³√2)/3

Solving for y gives

y = 3/11 x²

y = 3/11 ((11•³√2)/3)²

y = (11•³√4)/3

So the only other point where the tangent line is horizontal is ((11•³√2)/3, (11•³√4)/3).

3 0
2 years ago
The figure shows four forces exerted on a box. If F1 equals 4 N and F3 equals 6 N and the box remains stationary, which statemen
Eddi Din [679]

Answer:

The answer for this question would be maybe D-  

SORRY IF I'M WRONG

8 0
3 years ago
Find the area of the shape below.
Alecsey [184]

Area = (14 x 20) - ( 5 x 9)

Area = 280 - 45

Area = 235 square cm

4 0
2 years ago
Read 2 more answers
Divide and Simplify:<br> 16 2/3 divided by 1/6
Yakvenalex [24]

Answer: 16 2/3 divided by 1/6= 100

5 0
3 years ago
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Find the measure of each angle using the triangle sum theorem and exterior angle theorem
Paladinen [302]

(please open my photo for reference as you read, I am a visual learner/explainer so it will make the most sense that way)

So the first thing you want to do is look at the exterior angle 130°. A straight line is 180°, and every Triangle's angular sum is 180°. How I think of it is that every straight line has a mini protractor on either side. It makes it a bit easier to understand.

180 - 130 = 50

You now know that two of the angles are 50°.

You now have two of the measurements for the triangle farthest to the left.

75° and 50°

75 + 50 = 125

180 - 125 = 55

a = 55°

Now that you have all the measurements for the first triangle, let's move onto the next one.

With two measurements for the second triangle, all you need to do is find their sum and subtract that from 180 and you will have the third measurement!

50 + 60 = 110

180 - 110 = 70

b = 70°


Finally, for the last triangle, you already have two of the measurements 60° and 85°.


85 + 60 = 145

180 - 145 = 35

c = 35°


Sorry if this explanation is a bit messy, it's hard to describe certain things without a letter or some kind of name to differentiate between them verbally.


I hope this helps! <3

3 0
3 years ago
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