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A rectangular lawn has a length that is 2 yards greater than the width. The area of the lawn is 48 square yards.
Note: The formula for the area of a rectangle is Area = length x width.
a) Write the polynomial equation for the area of the lawn. Use the variable to represent the width of the lawn. Do not use any other variables.
Answer: ?
b) Solve the equation and give the width of the lawn.
NOTE: State the units in your answer.
Width: ?
Find the area of the region bounded by the parabola y = x2, the normal line to the parabola at (2,4), and the x-axis. (The normal line to a curve C at a point P is the line through P that is perpendicular to the tangent line at P.
There are 1000 students in the senior class at a certain high school. The high school offers two advanced placement math / stat classes to seniors only:
he Fingerprint of God
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If this trend continues linearly, in what year will the number of digital cable subscribers ?rst exceed 70 million?
Find the first and third quartiles of the data set.
A rocket is launched straight up. At t seconds after being launched, its altitude is given by h = 4t^2 metres. The line of sight from you to the rocket makes an angle θ radians with the horizontal. Four seconds after launch, by how many radians per ..
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The number of workers in the U. S. increased from 41.3 million to 44.4 million. What is the percent increase? Employees working from home increased from 23.5 million to 24.1 million. What is the percent increase.
Deriving relations ships using partial differentiation: Enthalpy is a function of pressure (p) and temperature (T). Write the total differential for dH. Enthalpy is also a function of entropy and pressure: dH=Vdp+TdS use this to derive an equation fo..
1. At what interest rate will it take $3000 to grow to $24,000 in an account that earns interest compounded monthly for 20 years? 2. Alice invests $10,000 in an account that earns 8% simple interest annually. What is the value of the account after..
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