The surface of a spherical conductor of radius a is kept at a temperature of u(φ)=300K+50K cos(φ). The temperature inside is governed by the Laplace equation. Find an expression for the temperature everywhere inside the sphere. Evaluate the temperature at the center of the sphere.
Answer:
A. The system has no solutions
Step-by-step explanation:
Step 1: Check to see if the 2 lines share 1 slope
slope of blue line = 
slope of red line = 
Step 2: Realize that lines with the same slope never touch
We know lines with the same slope are parallel to each other so they won't collide
Step 3: Know what the question is asking you
When they ask for solutions to the system of equations they are asking you to find out where they intersect
Step 4: Find answer
Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution
Therefore the answer is A. The system has no solutions
- The U.S. Mint makes commercial circulation coins including commemorative collection's coins including investor bullion coins.
- In the case of circular coins, the quantities were measured in terms of figures for "production" numismatic categories in order "sales" and bullion "mintage" statistics.
heaviest
lighest
Evaluating the each expression:
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Answer: 0.5
Step-by-step explanation:
Given : Adult male heights have a normal probability distribution .
Population mean : 
Standard deviation: 
Let x be the random variable that represent the heights of adult male.
z-score : 
For x=70, we have

Now, by using the standard normal distribution table, we have
The probability that a randomly selected male is more than 70 inches tall :-

Hence, the probability that a randomly selected male is more than 70 inches tall = 0.5