$(6,\pi /4)r>0$ and $2\pi <\theta \pi $

posader86
2022-07-26
Answered

Find another representation, $(r,\theta )$, for the point under the given conditions.

$(6,\pi /4)r>0$ and $2\pi <\theta \pi $

$(6,\pi /4)r>0$ and $2\pi <\theta \pi $

You can still ask an expert for help

Bradley Sherman

Answered 2022-07-27
Author has **17** answers

Since we want another representation,

just add $2\pi $ to $\theta $ i.e $\pi /4+2\pi $. or in general,

just add $(2\pi )\pi $ to $\theta $ i.e $\pi /4+2n\pi $ (n is greater than or equal to 1)

these are the co-terminal angles of $\pi /4>2\pi $. in other words, other representations are

$(6,9\pi /4)$

$(6,17\pi /4)$

$(6,25\pi /4)$

just add $2\pi $ to $\theta $ i.e $\pi /4+2\pi $. or in general,

just add $(2\pi )\pi $ to $\theta $ i.e $\pi /4+2n\pi $ (n is greater than or equal to 1)

these are the co-terminal angles of $\pi /4>2\pi $. in other words, other representations are

$(6,9\pi /4)$

$(6,17\pi /4)$

$(6,25\pi /4)$

asked 2022-05-02

Integrable vs Antiderivative

The Newton-Leibniz formula requires from a function $f:[a,b]\to \mathbb{R}$ to be integrable (Riemann-Integrable) and to have an antiderivative F over the interval [a,b]. Then we get: ${\int}_{a}^{b}f(x)dx=F(b)-F(a)$

I was wondering,

1. What kind of integrable functions don't have an antiderivative?

2. What kind of non-integrable functions have an antiderivative?

The Newton-Leibniz formula requires from a function $f:[a,b]\to \mathbb{R}$ to be integrable (Riemann-Integrable) and to have an antiderivative F over the interval [a,b]. Then we get: ${\int}_{a}^{b}f(x)dx=F(b)-F(a)$

I was wondering,

1. What kind of integrable functions don't have an antiderivative?

2. What kind of non-integrable functions have an antiderivative?

asked 2022-02-14

Analyze the function.

Is f(x) diferential at

asked 2021-05-26

Find all of the first order partial derivatives for the following functions.

$y={3}^{z}x-x\mathrm{tan}z+xz$

asked 2022-03-25

What is the equation of the tangent line of $f\left(x\right)=\frac{{\mathrm{cos}}^{3}x}{{x}^{2}}$ at $x=\frac{\pi}{3}$ ?

asked 2021-08-08

Differentiate the linear and non-linear equation, and give a reason that why its linear and non-linear.

asked 2021-12-13

Each limit represents the derivative of some function f at some number a. State such an f and a in each case.

$\underset{h\to 0}{lim}\frac{\sqrt{9}+h-3}{h}$

asked 2021-08-10

Find the indicative derivative of the following:

$xy={e}^{2x}.{y}^{\prime}$