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Assoli18 [71]
3 years ago
13

A student claims that the rectangular point below can be represented by the

Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0

Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number.  I like writing polar coordinates with a P in front to remind me.

It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.

P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )

P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )

That's true since when we add pi to an angle it negates both the sine and the cosine,

cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)

sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)

Answer: TRUE

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2 years ago
If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
sleet_krkn [62]

Answer:

There is no point of the form (-1, y) on the curve where the tangent is horizontal

Step-by-step explanation:

Notice that when x = - 1. then dy/dx becomes:

dy/dx= (y+2) / (2y+1)

therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:

0 = ( y + 2) / (2 y + 1)

And we obtain y = -2 as the answer.

But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:

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Then, we conclude that there is no horizontal tangent to the curve for x = -1.

3 0
2 years ago
What is the area of circle with a radius of 13 milimeters? use 3.14 for pi
MrRissso [65]

Answer:

530.66 mm²

5.3066 cm²

Step-by-step explanation:

A = π·r²

= 3.14×(13mm)²

= 3.14×169mm²

= 530.66 mm²

= 5.3066 cm²

8 0
3 years ago
Read 2 more answers
The weight of water is 62 and one half lb per cubic foot. How many cubic feet would be occupied by 180 lb of​ water?
inessss [21]

<u>Answer:</u>

2\frac{22}{25} cubic feet

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

We are given that the weight of water is 62 and one half lb per cubic foot and we are to find the number of cubic feet that would be occupied by 180 lb of water.

For that, we will divide total amount of water by per unit weight of water:

Cubic feet occupied by 180 lb of water = \frac{180}{62.5} = = 2.88 cubic feet or 2\frac{22}{25} cubic feet


8 0
2 years ago
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