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Define inverse function. Give a criterion for a function to have an inverse. Solve the following problems.
Find the area bounded by the lines y=0, y=2 an y=sqrt(x)
A person studying the growth of an animal population has determined T = 25logN - 50for the time T, in years, at which the population has reached the size N.
The equation 49x^2 + 36y^2 = 1764 describes a certain closed curve in 2-dimensional space. (The caret (^) indicates that the variable to the left of the caret
Which graph represent the inverse of h(x)= -3x+6?
Find the exact value to the expressions cos(alpha+beta) and sin(alpha+beta) and tan(alpha+beta) under the following conditions cos(alpha)=21/29.
Non-Linear ODE Systems.Solve the Initial Value Problem x' = 3 x^2/3 , x(0) = 0.
Numerical analysis and Gaussian quadrature.A function of two variables f(x,y) is integrated over the square
In my favorite shopping mall downtown there is a specialty shop that's bound to please anybody's sweet tooth.
Imagine your younger relative, of middle school age, was taking an algebra course and asked for your help, how would you teach the multiplication of polynomials
Use multiplication, division, addition and subtraction and at least one set of parentheses to write an expression that simplifies to 7, 13, or 17.
How many people were born per day in city A? ____(round to nearest integer as needed). How many people were born per day in city B?
Fearful of a bank failure. Norman split his life savings of $600,000 among three banks. He received 5%, 6% and 7% on the three deposits.
Find the weight of your favorite celebrity.This could be a movie or television personality, athlete, politician or even yourself.
Write the equation of a line that intersects the negative x-axis and the positive y-axis at points not equidistant from the origin (0, 0).
A donut shop sells two kinds of donuts. Gourmet donuts sell for $4.15/dozen and regular donuts sell for $3.30/dozen.
The table shows the retail market share of passenger cars from Ford Motor Company as a percentage of the U.S. market.
If federal government budgets $100 million to clean up the lake, what percent of the pollutants can be removed?
What is the maximum velocity V(h) of the roller coaster when the height h is 66 feet? (Specify and explain your answer in words).
Solve: vy+1 - 6 =2 (Square root of y+1-6=2, only the y+6 is under the square root sign).
The profit (p) in dollars, for a company is modelled by function p(x)= -750x^2+15,000x, where x is the number of items produced.
XYZ University sends out its diplomas in a diploma mailer that's in the shape of a right circular cylinder.
Determine the vertex of the parabola y = 2x2 + 4x + 1. (recall the x value of the vertex is given by x = -b/2a).
What efficiency must the treatment plant have in order to meet the NPDES BOD5 requirement of less than 30 mg/L?
Bobby's estimate of the value of the collection is $6,000.00. Charlene values the collection at $9,000.00.