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The perimeter of a rectangle is twice the length plus twice the width. The area of a rectangle is the product of its length and width. Suppose we let l represent the length and w represent the width of a rectangle.a) Write an algebraic expression that represents the perimeter.b) Write an algebraic expression that represents the area.c) Calculate the perimeter of a rectangle 12 inches long and 20 inches wide. d) Calculate the area of the rectangle described in Part C.
Suppose that G is a forest Consisting of k trees T1, T2, ..., Tk. Furthermore, suppose that Ti has order ni, for 1 Is the n-dimensional cube Qn Hamiltonian? Prove your answer.
Calculate the sample proportion, µ for the proportion of offspring peas with yellow pods.
Determine the linear correlation coefficient using x = HP and y = MPG. Perform the hypothesis test of rho to determine whether horsepower and gasoline mileage are negatively correlated at the one percent level of significance? [For the critical value..
Evaluate the equation of the Straight line - Sketch the curve.Circle: tangent to the line x=3, centre at (5,1)
The sleepers of a railway track which is turning round a bend of radius 60m are banked so that a train traveling at 40 km/hr exerts no lateral force on the rails. Find the lateral force exerted on the rails by an engine of mass 10^5 kg when travel..
Sketch the Fourier series of f(x) on the given interval - Sketch the Fourier series
find the probability that his or her birthday is not in May. If a person is randomly selected, find the probability that his or her birthday is not in May.
A new drug cures 80% of the patients to whom it is administered. It is given to 25 patients. Find the probabilities that among these patients, the following results occur.
The topic for the project is Elliptical Paths Of Celestial Bodies although you may choose a different title. The aim is to research ellipses in the context of eccentricities and to use the eccentricities and lengths of the semi-major axis of the p..
Find the volume of a solid that is generated by rotating the region formed by the graphs of y=x^2, y= 2, and x = 0 about the y-axis?
A thin plate occupies the region x^2/4 + y^2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x^2 + y^2 - 5y + 5, find the coldest and hottest points on the plate.
Find derivatives of the following functions using differentiation rules:
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