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Sketch the slope field for the ODE x'=(1-x^2)(sin(t)-x) . Sketch the slope fields for the solutions satisfying the given conditions: x(0)=0, x(0)=-0.5, x(0)=1, x(1)=1.5
The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far will the car travel in one minute?
Set up an appropriate probability space. Which is larger, (a) the probability of having a full house given that the first 2 cards you've dealt have the same denomination, or (b) the probability of having a full house given that there exist 2 cards
An open box is to be made from a six inch by six inch square piece of material by cutting equal squares from the corners and turning up the sides. Find the volume of the largest box that can be made
We are learning Rolle, Lagrange, Fermat, Taylor Theorems in our Real Analysis class. We just finished continuity and are now studying differentiation.
Please solve the following system of equations using both of these methods (solve once using substitution and once using elimination):
what is your actual average speed for your trip?
Using one of the tests for convergence (comparison, limit, integral, nth term, etc.), show whether the following series converges or diverges:
WHat dosage maximizes the temperature change? The sensitivity of the body to the drug is defined as dT/dD. What dosage maximizes sensitivity?
Use properties of moduli to sow that when |z3| does not equal |z4|, Re(z1 + z2) / |z3 + z4|
Flying with the jetstream, the same jet travels 4600km in 4 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y:
Stating the null & alternate hypotheses
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