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Let (r,θ) be the polar coordinate, show that Δu=urr+1/r∗ur+1/r2∗uθθ. In particular, if u=f(r) is a harmonic function, show that u=c1logr+c2
In a bag there are 2 red, 3 yellow, 4 green, and 6 blue marbles. What is the probability of P (yellow or green)? Choose the best answer from the options below
The length l and width w .... are increasing at a rate of 4 ft/min while its height h is decreasing a rate of 8 ft/min. find the rate at which the surface area of the box is increasing when l=6, w=h=3 feet
a square garden plot measures 125 square feet. a second garden plot measures 245 square feet. how many for feet of fence will the second garden plot require?
a boxs inside measurements are 30 cms 24 cms and 15 cms. how many cubes can fit in the box with an edge of 3 cms?a box
while everyone dreams of high interest rates for investments usually high interest rates come with other disadvantages.
The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
what is the measure of the angle between the end of the shadow and the vertical side of the building? (Assume the person's eyes are level with the top of the building.)
The Family Arts Center charges $21 for adults, $13 for senior citizens, and $7 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $9833 for 745 tickets sold. There were 47 more children th..
What is the annual compound interest rate for an investment account modeled by the function y = 12 • 1.18x?
Solve the following system of equations 1, x+2y=2 -4x+3y=25
Using life insurance tables, a retired man determines that the probability of living 5 more years is 0.91. He decides to take out a life insurance policy that will pay $31,000 in the event that he dies during the next 5 years. How much should he b..
Find the product as a sum containing only sines or cosines
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