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Use the substitutions x1=x and x2=x' to rewrite the following second order differential equation as a first order system of differential equation in the variables x1, x2 and t
4x''+3x'-5x=0
what are x'1 and x'2? please provide steps.
During the first part of a trip,a canoeist travels 41 miles at a certain speed. The canoeist travels 4 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 5 hours. What was the speed on each part of the trip..
solve the system of equation by matrix method.use augmented matrices to solve the following 2 x 2 systems of equations.
fixed axis has an angular position given by theta = 3.0 - 2.0t3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
Verify that y1(t) =(1/(t^3)) and y2(t) = (ln(t))/(t^3) are solutions to (t^2)y''+7ty'+9y = 0, t>0. Do y1, y2 for a fundamental set of solutions? Give a reason for your answer and show all steps and calculations.
A swimming pool is circular with a 38-ft diameter. The depth is constant along east-west lines and increases linearly from 2 ft at the south end to 7 ft at the north end. Find the volume of water in the pool.
Explainhow the software application process functioned before the software application was implemented, or changed with a new software product and vendor.
What is a 95% confidence interval for the mean of the population if the sample mean is 40?
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
the file cost of livingprovided in the textbooks web data base contains the overall cost index the monthly rent for a
Queuing Analysis: Cost comparisons, All trucks traveling on a major highway must stop at a weigh station. Trucks arrive at a rate of 200 per 8-hour day. The station can currently weigh on average 220 trucks per 8-hour day.
If I treat the upper block as a 2x2 matrix, I can find P = [1 0; 1 1] (Note: Using Matlab notation here). This correctly results in INV(P)AP = [3 1; 0 3] which is in the form needed.
what is the probability of being a 3 cards,followed by a 4 ,followed by a 5,whitout replacing any of the cards? is this an independent or dependent event?
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