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Problem 1- Solve y'' + y' = 2 sinx - 4 cosx.
Problem 2- The temperature outside is 40oF. A 120oF liquid is carried outside. One minute later, the temperature of the liquid has dropped to 100oF. What is the exact temperature of the liquid 2 minutes after being taken outside?
Problem 3- Solve (x2y - 2y3) dx = x3dx explicitly as a function of y alone.
Problem 4- Using Laplace transforms, solve
u'' - v' = 5
u' + v'' = -6
subject to
u(0) = -2, u'(0) = 1
v(0) = 4, v'(0) = -1.
Find the equilibrium solution Weq of the DE, and interpret it in ?financial terms.
A road running north to south crosses a road going east to west at the point P. How fast is the distance between the two cars changing?
Suppose that a student has 500 vocabulary words to learn. If the student learns 15 words after 5 minutes (this means L(5)=15 for the function L(t) ) , the function L(t ) = 500(1- e-0.0061t ) approximates the number of words L that a student will le..
a teacher put her students into groups of 5. each group had 3 girls. if she has 25 students how many girls and how many
nick has a goal to pay his credit card balance in full by june 30. when he first wrote his goal in december his
general relation between linear algebra and abstract algebra.
the quality control manager shuts down an automatic lathe for corrective maintenance whenever a sample of the
Joshua draws two ping-pong balls from a bowl of twenty ping-pong balls numbered 1 to 5. Provide a sample space for this experiment if
A canyon is 2000 meters deep at its deepest point. A rock is dropped from the rim above this point. Write the height of the rock as a function of time t in seconds. (Use -9.8 m/s2 as the acceleration due to gravity.) How long will it take the rock..
Investigate puzzle and explain the solution to the paradox using mathematical reasoning.
Kiki is saving money in an annuity and is earning 10% annual interest compounded semi-annually. If she deposits $2,000 in the account every six months for three years, what will the future value of her account equal? How much interest will she hav..
A survey was developed to estimate the average number of hours per week that adults spend exercising. Every third person entering a large fitness complex was surveyed, with a total of 2,500 people being surveyed.
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