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A particle is moving along the curve y= 2 sqrt{4 x + 4}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Thor has dropped his hammer, Mjolnir, into a 1ft x 1ft x 3ft container full of distilled water. If Mjonir has a uniform density of 7.8 g/cm3 and the water level was 1.5 inches lower after Thor summoned Mjolnir back to him.
what is the union of sets x and y b. what is the intersection of sets x and y c. create your own set z that is a subset of x
Important information about Mathematics - Probability, A sample contains 4 white balls, 2 green balls and 5 purple balls.
A two-tailed test is conducted at the 5% significance level. What is the P-value required to reject the null hypothesis?
Find the probability that in the next 2 days the operator will receive a total of 3 calls in that time interval. Mathematics Poisson Distribution Probability
I want to be earning an annual salary of $100,000 when I retire in 21 years. I have been offered a job that guarantees an annual salary increase of 4% per year, and the starting salary is negotiable. What is the lowest salary that I should request..
The curve for x=sqrt(In(y)) for 1
Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?
An elevator has 4 passengers and 8 floors. Find the probability that no 2 passengers get off on the same floor considering that it is equally likely that a person will get off at any floor
A feasible solution to an LP problem
A bacteria population starts with 400 and grows at a rate of r(t)=(450.268)e^(1.12567t)bacteria per hour. How many bacteria will there be after 3 hours ?
Check that N(t) = t/(1 +ct) is a solution of the differential equation dN/dt = N^2/t^2. Treat c as an unspecified constant.
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