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Dead leaves accumulate on the ground in a forest at a rate of 6.75 grams per square centimeter per year. At the same time, the leaves decompose at a continuous rate of 75% per year.
Write a differential equation for the total quantity of dead leaves (per square centimeter) at time t.
A mortgage at 9% interest compounded monthly with a monthly payment of $1125 has an unpaid balance of $10,000 after 350 months. Find the unpaid balance after 351 months.
the article suggested that, in some cases, this should be enough evidence to reject the null hypothesis.
Find the range for the measure of the third side of a triangle with the given two sides 31 and 4.
when 1500 units are being produced, the level of production is increasing at the rate of 20 units per week. what it the ttal cost at this time, and at what rate is the total cost changing at that moment?
Prepare the name of congruent angles from the given figure - Name every angle that is congruent to (has the same measure as) angle ACD.
Undergraduate senior level Real Analysis. Please show me formal math proofs. Give an example of a binary relation which is
Suppose V is a complex inner product space and T: V --> V a linear operator. Use the results from parts (a) and (b) to show V = im(T) + ker (T*) = im(T*) + ker(T).
Use the definition of the derivative to find f '(x) given Write an equation of the line tangent to the curve at the point P(-1, 7). Express the answer in the form ax + by = c.
The displacement s cm of the end of a stiff spring at time t seconds is given by: s = a (e^-kt) sin 2πft. Determine the velocity and acceleration of the end of the spring after 2 seconds if a = 3, k = 0.75 and f = 20.
specify the sequence of transformations that will yield the graph of the given function from the graph of f(x) =x^3
one pound of bananas cost 4.09 per pound. what is the unit cost for the bananas?
Use chain rule to verify that every function of the form. Then use this fact to find the solution which also satisfies the initial conditions:
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