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y=t cubed is one solution of the differential equation.
(3t^4+t^3)y''+(-6t^3+2t^2+t)y'+(-12t-3)y=0
Find a second independent solution of this equation. write down the wronskian, how you found it, the first order differential equation, satisfied by y2 and say how you solved it
Kelly Fisher invested a total of $20,000 invested in two municipal bonds that have yields of 7% (bond A) and 9% (bond B) interest per year, respectively. If the interest Kelly receives from the bonds in a year is $1480, how much did she invest in ..
Consider the recurrence relation an = 3an-1 + 5n. (a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence rel..
A circular swimming pool has a diameter of 20 m, the sides are 4 m high, and the depth of the water is 3.5 m. How much work (in Joules) is required to pump all of the water over the side?
A small city park is shaped like a right triangle with a height length of 211 feet and a base length of 327 feet. What is the area of the city park?
Estimate rate of changes.
Consider a standard deck of playing cards. You randomly select a card from the deck and find that you have drawn a face card.
Perform the operation and make the result in standard form
A submarine dives at an angle of 12 degrees to the surface of the water. The submarine travels at a speed of 740 feet per minute. About how deep is the submarine after 5 minutes?
A financial analyst and you have a client that wants to retire in 30 years with $1 Million. Your bank's interest rate is 6.7%. Design a financial plan for them. How much would be their initial deposit? Would you use simple or compound interest..
Find the slope and the equation of the tangent line to the graph of the function at the given value of x.
Find the time required for an investment of 5000 dollars to grow to 7100 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Suppose that a body moves in a straight line through a resisting medium with resistance proportional to the square of it's speed v with initial speed v_0 and initial position x_0.
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