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vagabundo [1.1K]
3 years ago
13

I need help with this question it’s due today please help.

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0

Answer:

7 in

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
50 POINT I NEED HELP BAD
nikklg [1K]

Answer:

k = 4

Step-by-step explanation:

7k - 6 = 2k + 14

(7k - 2k) - 6 = (2k - 2k) + 14

5k - 6 = 14

5k (- 6 + 6) = 14 + 6

5k = 20

5k/5 = 20/5

k = 4

4 0
3 years ago
Read 2 more answers
Una nadadora entrenó todos los días durante 21días. El primer día nadó 15 minutos, y cada día nadaba 5 minutos más que el día an
nadya68 [22]

Responder:

1 hora 55 minutos; 22 horas 45 minutos

Explicación paso a paso:

Dado que:

Tiempo el primer día = 15 minutos

Minutos adicionales cada día siguiente = 5 minutos

Número total de días

Usando la fórmula del enésimo término de una progresión aritmética:

Tn = A + (n - 1) d

A = primer trimestre = 15

d = diferencia común = 5

n = enésimo término

Tiempo de nado el último día (n = 21)

T21 = 15 + (21 - 1) 5

T21 = 15 + 20 * 5

T21 = 15 + 100

T21 = 115 minutos

= 1 hora 55 minutos

SEGUNDO.)

Suma de minutos durante las 3 semanas

Suma de n términos:

Sn = n / 2 * (primer término + último término)

Primer término = 15

Último trimestre = a21 = 115 minutos

n = número de términos = 21

Por lo tanto,

Sn = 21/2 * (15 + 115)

Sn = 10,5 * (130)

Sn = 1365 minutos

= 22 horas 45 minutos

3 0
3 years ago
Hi, i really need help!<br> Look at the images below:<br> (there is 2 images per question)
ycow [4]

Answer:

The last one

Step-by-step explanation:

The triangle is simply reflected across the x-axis, so the side lengths and angle measures do not change.

7 0
4 years ago
I need help with 4 plz
Alex Ar [27]

Answer:

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, the 7 must be in the 10 thousandths place, as you showed. Letter F is the only one where the 7 is in the 10 thousandths place.

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

, !

8 0
3 years ago
Read 2 more answers
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