1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
luda_lava [24]
3 years ago
13

Check the pic out please help me

Mathematics
1 answer:
Bond [772]3 years ago
5 0
I think you were to add the exponents
5.3*10^8
You might be interested in
In a random sample of 75 individuals, it was found that 52 of them prefer coffee to tea. What is the margin of error for the tru
Ugo [173]
0.106 is the answer

letters till 20 characters
4 0
3 years ago
For each vector field f⃗ (x,y,z), compute the curl of f⃗ and, if possible, find a function f(x,y,z) so that f⃗ =∇f. if no such f
butalik [34]

\vec f(x,y,z)=(2yze^{2xyz}+4z^2\cos(xz^2))\,\vec\imath+2xze^{2xyz}\,\vec\jmath+(2xye^{2xyz}+8xz\cos(xz^2))\,\vec k

Let

\vec f=f_1\,\vec\imath+f_2\,\vec\jmath+f_3\,\vec k

The curl is

\nabla\cdot\vec f=(\partial_x\,\vec\imath+\partial_y\,\vec\jmath+\partial_z\,\vec k)\times(f_1\,\vec\imath+f_2\,\vec\jmath+f_3\,\vec k)

where \partial_\xi denotes the partial derivative operator with respect to \xi. Recall that

\vec\imath\times\vec\jmath=\vec k

\vec\jmath\times\vec k=\vec i

\vec k\times\vec\imath=\vec\jmath

and that for any two vectors \vec a and \vec b, \vec a\times\vec b=-\vec b\times\vec a, and \vec a\times\vec a=\vec0.

The cross product reduces to

\nabla\times\vec f=(\partial_yf_3-\partial_zf_2)\,\vec\imath+(\partial_xf_3-\partial_zf_1)\,\vec\jmath+(\partial_xf_2-\partial_yf_1)\,\vec k

When you compute the partial derivatives, you'll find that all the components reduce to 0 and

\nabla\times\vec f=\vec0

which means \vec f is indeed conservative and we can find f.

Integrate both sides of

\dfrac{\partial f}{\partial y}=2xze^{2xyz}

with respect to y and

\implies f(x,y,z)=e^{2xyz}+g(x,z)

Differentiate both sides with respect to x and

\dfrac{\partial f}{\partial x}=\dfrac{\partial(e^{2xyz})}{\partial x}+\dfrac{\partial g}{\partial x}

2yze^{2xyz}+4z^2\cos(xz^2)=2yze^{2xyz}+\dfrac{\partial g}{\partial x}

4z^2\cos(xz^2)=\dfrac{\partial g}{\partial x}

\implies g(x,z)=4\sin(xz^2)+h(z)

Now

f(x,y,z)=e^{2xyz}+4\sin(xz^2)+h(z)

and differentiating with respect to z gives

\dfrac{\partial f}{\partial z}=\dfrac{\partial(e^{2xyz}+4\sin(xz^2))}{\partial z}+\dfrac{\mathrm dh}{\mathrm dz}

2xye^{2xyz}+8xz\cos(xz^2)=2xye^{2xyz}+8xz\cos(xz^2)+\dfrac{\mathrm dh}{\mathrm dz}

\dfrac{\mathrm dh}{\mathrm dz}=0

\implies h(z)=C

for some constant C. So

f(x,y,z)=e^{2xyz}+4\sin(xz^2)+C

3 0
3 years ago
The graph shows the cost of some taxi journeys. work out a formula for C in terms of n.
Serga [27]

Given:

The graph of cost of taxi with respect to number of miles.

To find:

The formula for C in terms of n.

Solution:

In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).

From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-3=\dfrac{6-3}{5-0}(x-0)

y-3=\dfrac{3}{5}(x)

Adding 3 on both sides, we get

y=\dfrac{3}{5}x+3

Putting y=C and x=n, we get

C=\dfrac{3}{5}n+3

Therefore, the required formula is C=\dfrac{3}{5}n+3.

7 0
3 years ago
What is the factored form of b2 – 4b – 32?
Sergeu [11.5K]

Answer:

  (b – 8)(b + 4)

Step-by-step explanation:

The signs of the binomial constants must be different in order for their product to be -32.

The one with the larger magnitude must be negative in order for their sum to be -4. The only viable choice is (b -8)(b +4).

7 0
3 years ago
Which function has the same domain as y= 2√x?<br> Oy= √2x<br> O y=2³√x<br> 0₁y = √x-2<br> O y=³√x-2
dybincka [34]

The option first is correct because  y= 2√x and y= √2x have same domain which is x ≥ 0.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

y= 2√x

From the above function the domain should be:

x ≥ 0 (because square root of negative values does not exist)

The function:

y = √(2x)

2x ≥ 0

x ≥ 0

Thus, the option first is correct because  y= 2√x and y= √2x have same domain which is x ≥ 0.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

3 0
2 years ago
Other questions:
  • (GEOMETRY. REAL HELP PLS) Triangle DEF is an isosceles, so DEF = DFE.
    5·2 answers
  • Ken can walk 40 dogs in 8 hours.<br> How many dogs can Ken walk in 12 hours?
    14·1 answer
  • Determine which ratio forms a proportion with 18/21 by writing the ratios in simplest form.
    13·2 answers
  • PLEASE ANSWER THIS FAST!!!!!Joseph is given the formula for the perimeter of a rectangle. The first step in solving for the vari
    9·1 answer
  • Given f (x) = 5x + 1, find f(0).
    9·1 answer
  • Use the diagram of the right triangle above and round your answer to the nearest hundredth.
    14·2 answers
  • What is the slope of the line graphed below (3,6) (0,-1)
    11·2 answers
  • Which of the following is NOT a Pythagorean triplet?
    9·1 answer
  • Anyone under 14 wanna be friends? :)
    5·2 answers
  • If 1 kg = 2.2 pounds, convert 77 kg into pounds
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!