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A rectangular field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the field's dimensions?
Maryam pays $3000 on the 30th day of a $7,000, 120-day, and 8% loan.
Find any stationary points of the function from 1a. An use the first derivative test to see whether they are local maximum or local minimum of f(x).
Determine the domain and the range of the function
How many different four-digit numbers can be formed from the digits 0 through 9 if the first digit must be even and cannot be zero?
A glass box measures 7x12x18 and is closed on all six sides. It is partially filled with colored water. When the box is placed on one of its 7x12 sides, the water level is 15cm above the table. If the box is placed on one of its 7x18 sides, what i..
Calculate the probability of drawing a King or a diamond
Find the instantaneous velocity when t = 1. Please show me all the steps, explain to me what instantaneous velocity is and how it is calculated (formula).
Find a bijective conformal mapping that takes a bounded region to an unbounded region. Prove that a conformal map cannot take a simply connected region onto a region that is not simply connected.
Find the probability that a senior citizen takes either blood pressure-lowering or cholesterol-lowering medication
Show that if G is a 2-connected graph containing a vertex that is adjacent to at least three vertices of degree 2, then G is not hamiltonian.
Find the solution of the initial value problem
Let S be the circle in the plane {(x,y) in R^2: x^2 + y^2 = 1} and f: S --> R be a continuous map. Show that there exists (x,y) on S such that f(x,y) = f(-x,-y).
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