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3 years ago

10

how do you solve this equation and graph it? I have an idea how to maybe solve it but I feel it is false any methods of solving

and graphing this problem will help tremendously

1 answer:

gtnhenbr [62]3 years ago

5 0

This is the equation graphed. i hope this helps. :)

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Using calculus, you can find a function’s maximum or minimum by differentiating and setting the result to zero. Do this for equa

Elenna [48]

Answer:

$\dfrac{dx}{d\theta}=\dfrac{2v_0^2\cos2\theta}{g}$

$x=\dfrac{v_0^2}{g}$ at $\theta=45$

Step-by-step explanation:

$x=\dfrac{v_0^2\sin2\theta}{g}$

Differentiating with respect to $\theta$ means $v_0$ and $g$ are constants. So we differentiate only the $\sin2\theta$ term.

Assume $y=\sin2\theta$ .

Let $u=2\theta$ .

$\dfrac{du}{d\theta}=2$

Also, $y$ becomes

$y=\sin u$

$\dfrac{dy}{du}=\cos u$

By chain rule,

$\dfrac{dy}{d\theta}=\dfrac{dy}{du}\cdot \dfrac{du}{d\theta}$

$\dfrac{dy}{d\theta}=\cos u\cdot2=2\cos u=2\cos 2\theta$

Adding back the constants,

$\dfrac{dx}{d\theta} = \dfrac{2v_0^2\cos2\theta}{g}$

Equating this to 0,

$\dfrac{dx}{d\theta}=\dfrac{2v_0^2\cos2\theta}{g}=0$

$\cos2\theta=0$

$2\theta = \cos^{-1}0=90$

$\theta=45$

Using this value of $\theta$ in the expression for $x$ ,

$x=\dfrac{v_0^2\sin(2\times145)}{g}=\dfrac{v_0^2\sin90}{g}=\dfrac{v_0^2}{g}$ (since $\sin90=1$ )

7 0

4 years ago

1.What is the core characteristic that defines a zero-based budget?

lakkis [162]

Answer:

1. You account for every dollar you make to where your budget shows you have $0

2. She will have $125 leftover to budget out as she sees fit

3. If she does not account for it she may over spend or think she has extra money

4. I would put it in savings

5. No this is not what it means. This means that your paycheck will be able to cover your expenses.

6. You should put extra money in savings. You never know what will occur and savings can always help.

Step-by-step explanation:

7 0

3 years ago

Please help, giving 25 points!!!!!!!!

Molodets [167]

Answer:

B

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Simplify 9a + 5b - 7a + 6b

arlik [135]

$9a + 5b - 7a + 6b$

$(9a-7a)+(5b+6b)
$ $\text{Gather like terms}$

$2a+11b$ $\text{Solution}$

7 0

3 years ago

Read 2 more answers

What is the answer to this problem

irga5000 [103]

2 to the power of 5 = 32

7 to the power of 3 is 343

32-343= -311

The answer is -311. Hope this helps!

6 0

4 years ago