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Dead leaves accumulate on the ground in a forest at a rate of 39 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 36 percent per year.
A. Write an equation for the total quantity Q of dead leaves (per square centimeter) at time t :
dQ/dt=?
B. If initially there were no leaves, what is an expression for the number of leaves after time t?
Q=?
For the function below, find a) the critical numbers, b) the open intervals where the function is increasing, and c) the open intervals where the function is decreasing.
If the tide edd and flow over time in a periodic manner, use cosine function a) to make a sketch a sketch of the graph over 24 hour period. b) find a trig equation that models the depth of the water t hours after midnight.
Prove the cancellation law for integers: If a,b, c are integers such that ac=bc and c is non zero, then a=b. hint for proof* use the cancellation law: Let a,b,c be natural numbers such that ac=bc and c is non zero, then a=b
Suppose f is a differentiable function of one variable. Show that all tangent planes to the surface z=xf(y/x) intersect in a common point.
Prove the triangle inequality starting with: |V+W|^2. You must use Re (less than or equal to) | | and the Schwarz inequality.
If the length of a rectangle is 2 less than 5 times the width and the perimeter is 476", what is the dimension?
A bus traveled at an average rate of 50 miles per hour then reduced its average rate to 40 miles per hour for the rest of the trip. If the 220-mile trip took 5 hours, determine how long the bus traveled at each rate.
If the current demand is increasing by 1000 units per year and if the price remains fixed at $350 per unit, how much revenue will the manufacturer receive from the sale of the product over the next 5 years?
If 80% of the connectors are kept dry and 205 are wet, what proportion of the connectors fail during the warrnty period?
how green theorem is applicable in finding the area of region? use green's theorem to calculate the area of the region between the x-axis and one arch of the cycloid with parametric equations x=a(t-sint), y=a(1-cost)
We will take steps to find the tangent line to the graph of f at the general point (x,f(x)), and use it to find a tangent line with a specific property.
Please show the how to solve the following. Please offer as much explanation as possible. Graph a function on the interval [-2,5] having the following characteristics:
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