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lesya [120]
3 years ago
8

Please help me this is the last question of my test and I need to pass!

Mathematics
1 answer:
sveta [45]3 years ago
4 0

Answer:

Alan and Christos

Step-by-step explanation:

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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
3 years ago
(01.01) Kisha and Rae are asked to solve −5x − 14 = 2x + 7. Identify where one of them made an error.
lora16 [44]
It's A. 
Rae made the error when she added 7. 
the equation should be:
<span>-14 - 7 = 7x + 7 - 7 </span>
3 0
3 years ago
Read 2 more answers
Robert slices a large loaf of bread to make 12 sandwiches. He made 3 turkey sandwiches and 5 veggie sandwiches. The rest are ham
lions [1.4K]
We already know that there are 12 sandwiches.

If there are 3 turkey and 5 veggie then there's 8 out of 12 sandwiches that aren't ham.

12 sandwiches - 8 non-ham sandwiches = 4 ham sandwiches

Now we know there are 4/12 ham sandwiches

We need to simplify this now.
4/12 can be divided by 4

4 goes into 4 1 time and 4 goes into 12 3 times making the answer 1/3

1/3 of the sandwiches are ham.
3 0
3 years ago
You make 10 cups of pudding and pour it into 6 containers how many cups of pudding are in each container
masya89 [10]
1.67 cups.
10 divided by 6, then round.
7 0
3 years ago
Gieo đồng thời hai con xúc xắc. Tìm xác suất để nhận được:Tổng số chấm là 8.
vampirchik [111]

Answer:

what is this sy man i dnt get it

Step-by-step explanation:

6 0
3 years ago
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