All new and solved questions in Advanced Math category

##### Write the standard form of the equation of a circle that passes through the points at (0,8) (8,0) and (16,8)
Write the standard form of the equation of a circle that passes through the points at (0,8) (8,0) and (16,8). Then identify the center and radius of the circle.(x-8)^2 + (y-8)^2 = 64(x^2 / 64) + (y^2 / 64) = 64center=(8,8)radius=8I got it wrong don't know how...
##### Nonlinear Models. PLEASE PROVIDE A DETAILED ANSWER.
A population P(t) of small rodents has birth rate ß = 0.001P (births per month per rodent) and constant death rate d. If P(0) = 100, and P'(0) = 8, how long (inmonths) will it take this population to double to 200 rodents? PLEASE PROVIDE A DETAILED ANSWER.Logistic Function:(dP/dt)= P(a-bP)...
##### Question
You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black?...
##### Differential Equation Problem
A 500 liter tank initially contains 250 liters of water containing 2 parts per billion of dioxin. Suppose water containing 5 parts per billion of dioxin flows into thetop of the tank at a rater of 4 liters per minute. The water in the tank is kept well mixed and 2 liters per minute are drained from ...
##### Percentage
The price of an item drops from $10 to$12. Find the percent of decrease in the price....
##### Linear algebra: change of basis
Let (vector)v1= (4,6,7)transpose, (vector)v2=(0,1,1)transpose, (vector)v3=(0,1,2)transpose(vector)u1=(1,1,1)transpose, (vector)u2= (1,2,2)transpose, (vector)u3= (2,3,4)transpose(a)Find the transition matrix from {v1,v2,v3} to {u1,u2,u3}(b)if x= 2v1+3v2-4v3, determine the coordinates of x with respec...
##### Linear Algebra - Orthogonality
Find two orthogonal vectors in the plane x + y + 2z = 0. Make them orthogonal....
##### Measurable Sets
Let Prove that is measurable. there is aopen, closed such that and...