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A rectangular field is to be fenced along two sides and two ends. It is also required to have three additional cross fences from side to side in order to form four plots as illustrated below.
Let w = width
Find the length of the field, to the nearest tenth, that will give the entire field a maximum area if 414 m of fencing is available.
What proportion is between 150 and 140 centimeters
Please show in detail how to solve the following area problem. Let R be the region bounded by the graphs of f(x) = 4 - x^2/4 +8x
The air resistance to the jumper is a( ?v) where ?(v)= √(vx^2+vy^2) is the magnitude of jumper's velocity. Please compute the jumper's velocity as a function of height.
A 2 mile cab ride costs $1.70. A 7 mile cab ride cost $3.70. Find a linear equation that models cost as a function of distance.
Verify that each of the following are equivalence relations on the plane R^2 (where R are real numbers) and describe the equivalence classes geometrically.
Automorphisms and Conjugation, Show that if H is any group then there is a group G that contains H as a normal subgroup with the property that for every automorphism f of H there is an element g of G such that the conjugation by g
A decision maker who is considered to be a risk taker is faced with this set of probabilities and payoffs. Rank the decision alternatives onthe basis of expected value.
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
Eve said to Adam, "If you give me one dollar, then we will have the same amount of money." Adam then replied, "Eve, if you give me one dollar I will have double the amount of money you are left with." How much does each have?
block of metal has a width of 3.2 rm cm, a length of 17.1 rm cm, and height of 4.9 cm. Its mass is 1.5 kg. Calculate the density of the metal.
Solve the system of linear equations. If the unique solution does not exist state weather the system is inconsistent or dependent.
Determine the domain and range of the variables and how your solutions for a and b be modified if y=ax²+bx+c is a revenue function
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