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The line 4x-3y=-12 is tangent at the point (-3,0) and the line 3x+4y=16 is tangent at the point (4,1). find the equation of the circle. solution) well you could first find the ra
1+2+3+78+980
If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =
Can you explain that a wave through the origin always has a slope of one or not?
A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the sum of all of the mortgages in it, so no generality is lost by examining t
circumference of a circle
Four is added to the quantity two minus the sum of negative seven and six. This answer is then multiplied through three. What is the result? This problem translates to the expr
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?
DECISION THEORY People constantly make decisions in their private lives as well as in their work. Some decisions are qualitative in terms of their implications and signi
Simplify following. Suppose that x, y, & z are positive. √ y 7 Solution In this case the exponent (7) is larger than the index (2) and thus the fir
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