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3 years ago

Answerrr now. Plsss :)

Mathematics

1 answer:

Lesechka [4]3 years ago

4 0

Answer:

Alternate exterior

Step-by-step explanation:

They are on opposite sides and both exterior

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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

Solve the diﬀerential equation x^3y"'− 3x^2 y" 6xy'−6y = 0.

Anna [14]

Equation at the end of step 1 : (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0 Step 2 :Step 3 :Pulling out like terms :

3.1 Pull out like factors :

 -3x3y7 + x3y - 6y = -y • (3x3y6 - x3 + 6)

Trying to factor a multi variable polynomial :

3.2 Factoring 3x3y6 - x3 + 6

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Equation at the end of step 3 : -y • (3x3y6 - x3 + 6) = 0 Step 4 :Theory - Roots of a product :

4.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

4.2 Solve : -y = 0

Multiply both sides of the equation by (-1) : y = 0

3 0

3 years ago

Please help! Brainliest will be given to first to answer

Nataly_w [17]

Answer:

100 residents/km2

Step-by-step explanation:

5×4 = 20 2,000÷20 = 100

6 0

3 years ago

Solve for X. (1 point) -ax + 3b > 5

Anarel [89]

Answer:

x<(3b-5)/a

Step-by-step explanation:

Subtract 3b from both sides: -ax>5-3b

Divide by -a, when dividing/multiplying a negative you flip the </> sign: x<(3b-5)/a

4 0

3 years ago

Marisa has 2 pennies, 4 nickels, and 5 dimes in her pocket. How many different arrangements are possible if she removes one coin

Radda [10]

-2 pennies, 4 nickels, 4 dimes
-2 pennies, 4 nickels, 3 dimes
-2 pennies, 4 nickels, 2 dimes

And so on. Do you kind of get the idea?

3 0

4 years ago

Read 2 more answers