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rosijanka [135]

2 years ago

5

A carpenter started with a board that was 31 inches long. he cut 2 pieces that were each 3 inches long. he then cut 3 pieces tha

t were each

1 answer:

just olya [345]2 years ago

7 0

Answer:

i don't know

Step-by-step explanation:

i

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Determine whether each of the following functions is a solution of laplace's equation uxx uyy = 0.

ratelena [41]

Both functions are the solution to the given Laplace solution.

Given Laplace's equation: $u_{x x}+u_{y y}=0$

We must determine whether a given function is the solution to a given Laplace equation.
If a function is a solution to a given Laplace's equation, it satisfies the solution.

(1) $u=e^{-x} \cos y-e^{-y} \cos x$

Differentiate with respect to x as follows:

$u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x$

Differentiate with respect to y as follows:

$u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x$

Supplement the values in the given Laplace equation.

$e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0$

The given function in this case is the solution to the given Laplace equation.

(2) $u=\sin x \cosh y+\cos x \sinh y$

Differentiate with respect to x as follows:

$u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y$

Differentiate with respect to y as follows:

$u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y$

Substitute the values to obtain:

$-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0$
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

Know more about Laplace's equation here:

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The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

6 0

2 years ago

A teacher asked students in his dass if they had any

hram777 [196]

Answer:

their is a 50 50 chance

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the probability that at least 18 of the 50 subscribers in your sample REOFFEND? Find the mean of the sample proportion o

Elena L [17]

Answer: The question has some details missing and incomplete. here is the complete question ; New regulations in Canada require all Internet service providers (ISPs) to send a notice to subscribers who are downloading files illegally asking them to stop. This "notice and notice" system was already in place with Rogers Cable. That company says that prior to these regulations, 67% of its subscribers who received the notice did NOT reoffend. Consider a random sample of 50 of these Rogers subscribers who received a first notice.

a) What is the distribution (or approximate distribution) of the number X of subscribers who reoffend?

b)Find the mean of the sample proportion of subscribers that REOFFENDED. Report to two decimal places:

c)Find the standard deviation of the sample proportion of subscribers that REOFFENDED. Report to three decimal places:

d)Find the z-score for the 18 of the 50 subscribers who reoffended (report to two decimal places)

e)Find the probability that at least 18 of the 50 subscribers reoffended (report to two decimal places)

Step-by-step explanation:

a) Approximate distribution of the number X of subscribers who reoffend is NORMAL, as both np and n(1-p) are greater than 5.

b) n = 50, 67% of its subscribers who received the notice did NOT reoffend = q, therefore p = 1 - q = 1 - 0.67 = 0.3300, p = 0.3300,

here mean of distribution ; μ = np = 16.5

c) standard deviation σ =√(np(1-p)) = 3.325

d) z score = (X-mean) / SD = (18-16.5) / 3.325=0.45

e) Probability that at least 18 of the 50 subscribers reoffended; P(X>18) = P(Z>0.45) = 0.33

3 0

3 years ago

I need serious help, I forgot how to do this ;-; I haven't done that kind of math in a long time. How can I find the answer and

larisa [96]

Answer:

I think your answer is 85. The 50 degree angle on the left side of E is equal to the angle to the right of E. Since both triangles have equivalent angle measurements, D and B are correspondent of one another. Add the 50 degrees to the 45 degrees to get 95. Since triangles total measurements equal 180, subtract 95 from 180 to get 85. Angle D = 85, and since Angle B is correspondent, Angle B = 85°

3 0

2 years ago

suppose you invest 400 at an annual interest rate of 7.6% compounded continuously. How much will you have in the account after 1

dlinn [17]

A=pe^rt
A=400×e^(0.076×1.5)
A=448.30

3 0

4 years ago

Read 2 more answers