Ask question

Ask question

All categories

3 years ago

15

What kind of sequence is this? 1, 8, 64, 512, ... arithmetic, geometric, neither or both

1 answer:

MatroZZZ [7]3 years ago

7 0

Answer:

Geometric

Step-by-step explanation:

It has a consistent multiple-factor by which it increases (8).

You might be interested in

E=mc^2 in terms of m

JulijaS [17]

E/(c^2) = mc^2/(c^2)
m = E/(c^2)

7 0

3 years ago

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is

kodGreya [7K]

We're looking for a scalar function $f(x,y)$ such that $\nabla f(x,y)=\vec F(x,y)$ . That is,

$\dfrac{\partial f}{\partial x}=2x-6y$

$\dfrac{\partial f}{\partial y}=-6x+6y-7$

Integrate the first equation with respect to $x$ :

$f(x,y)=x^2-6xy+g(y)$

Differentiate with respect to $y$ :

$-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7$

Integrate with respect to $y$ :

$g(y)=3y^2-7y+C$

So $\vec F$ is indeed conservative with the scalar potential function

$f(x,y)=x^2-6xy+3y^2-7y+C$

where $C$ is an arbitrary constant.

6 0

2 years ago

Help me please ! i’ll mark brain list and double the points .

charle [14.2K]

Answer:

32

Step-by-step explanation:

that just is the answer use pyth theorem them add 8

8 0

3 years ago

Read 2 more answers

[25 POINTS] The approximate change in the value of f(x) = sqrt(2(x-1)) at x = 3 using differentials with dx = 0.01 is

otez555 [7]

Answer:

$\frac{1}{200}$

Step-by-step explanation:

<u>Find the derivative of the function when x=3</u>

<u /> $y=\sqrt{2(x-1)}$

$\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}$

$\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}$

$\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}$

$\frac{dy}{dx}=\frac{1}{\sqrt{4}}$

$\frac{dy}{dx}=\frac{1}{2}$

Since the change in the value of the function is $dy$ and we know that the change in x is $dx=0.01$ , then we have:

$\frac{dy}{dx}=\frac{1}{2}$

$dy=\frac{1}{2}dx$

$dy=\frac{1}{2}(0.01)$

$dy=\frac{1}{200}$

Therefore, the 2nd option is correct

<u />

8 0

2 years ago

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

Luba_88 [7]

Test contains 10 three-point questions and 14 five-point questions.

8 0

2 years ago