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1 year ago

F '(x) = sin(x) - 65 What is f(x)?

Mathematics

1 answer:

irakobra [83]1 year ago

6 0

Hello,

f'(x) = sin(x) - 65 → f(x) = -cos(x) - 65x

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(2^3)^7 (2^-9)^2 how do i put that in exponential form

jok3333 [9.3K]

Answer:

2³ = 8

Step-by-step explanation:

According to the laws of exponents, when raising a power to another power, you need to multiply the exponents. After you multiply each set of exponents by the additional power, then it become a multiplication problem where the base is the same. When multiplying exponents with the same base, you keep the base and add the exponents:

$(2^{3})^{7}*(2^{-9})^{2}=2^{21}*2^{-18}=2^{21+-18}=2^{3}$

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2 years ago

Consider the force field and circle defined below.

grin007 [14]

By Green's theorem,

$\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy$

where $C$ is the circle $x^2+y^2=9$ and $D$ is the interior of $C$ , or the disk $x^2+y^2\le1$ .

Convert to polar coordinates, taking

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta$

Then the work done by $\vec F$ on the particle is

$\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0$

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2 years ago

I don’t really understand what to do on these questions and could you tell me the ratio to solve the rest?

SVEN [57.7K]

Step-by-step explanation:

Assuming 10 cups of lemon-lime soda and 5 cups of orange soda make 15 cups of punch, we can write proportions for each problem.

x / 130 cups punch = 10 cups lemon-lime / 15 cups punch

x = 86.67 cups lemon-lime soda

y / 130 cups punch = 5 cups orange soda / 15 cups punch

y = 43.33 cups orange soda

x / 65 cups punch = 10 cups lemon-lime / 15 cups punch

x = 43.33 cups lemon-lime soda

y / 65 cups punch = 5 cups orange soda / 15 cups punch

y = 21.67 cups orange soda

x / 195 cups punch = 10 cups lemon-lime / 15 cups punch

x = 130 cups lemon-lime soda

y / 195 cups punch = 5 cups orange soda / 15 cups punch

y = 65 cups orange soda

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2 years ago

Need Help!

kirza4 [7]

120 students are in the 7th grade.

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2 years ago

Read 2 more answers

consider this expression 7+3.4+2 what movements does this represent for Cecil walking on his tightrope? draw a diagram to show h

Lina20 [59]

Ok let me start it from here.

you are studying about properties of natural numbers or whole number or may be integers.

So , In this Question you have to follow property of addition of integers.

⇒7+3=( You are at the point 7 on the number line or on the tight rope , you are moving (+3) on the right direction.) So you will reach at 7+1+1+1=10

⇒4+2=( You are at the point 4 on the number line or on the tight rope , you are moving (+2) on the right direction.) So you will reach at 4+1+1=6

In first case Cecil has taken total walk of 10 units and in second case Cecil has taken a walk of 10 units.

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2 years ago