Transform homogeneous equation
Transform homogeneous equation dy/dx=sqrt x^2+xy+y/2x+y into seperable first-order equation by using the appropriate substitution. You do not need to solve the resulting equation.
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Find out the roots of the simultaneous nonlinear equations (x-4)^2 + (y-4)^2 = 5 x^2 + y^2 = 16 Employ a graphical approach to obtain your initial guesses.
Transform the homogeneous equation dy/dx=sqrt x^2+xy+y/2x+y into seperable first-order equation by using the appropriate substitution. You do not need to solve the resulting equation.
Determine the approximate solution to the initial value problem dy/dx = 4x+1/2y;y(0)=1 at the point x = 1, using a single step of size h = 1.
A 200 liter tank initially haves 100 liters of pure brine. Pure water is added at the rate of 2 L/min, and well-stirred mixture is drained at the rate of 1 L/min. How much brine remains when the tank is full? How concentrated is the remnant?
A vertical conical tank which is the 10ft tall with radius of 6 feet at the top is full of water. How much work is done to empty bottom two feet of water over the top of tank? THEN, empty the top two feet. Which takes more work?
A 200 liter tank initially haves 100 liters of pure brine. Pure water is added at the rate of 2 L/min, and well-stirred mixture is drained at a rate of 1 L/min. How much brine remains when the tank is full? How concentrated is the remnant?
Is it possible to find out the intersection of two matrices if the matrices don't equal each other. Say, H = (1,2,3,4) which is a 2x2 matrix and K= (5,6,7,8) which is a 2x2 matrix. So what would HnK be? (where n= intersection)
In study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browswer.
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