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Create a detailed diagram to describe the equation of an ellipse in terms of it’s eccentricity and indicate how the foci and major and minor semi-axes are involved. Y
Bob is 2 years from being double as old as Ellen. The sum of twice Bob's age and three times Ellen's age is 66. How old is Ellen? Let x = Ellen's age and let y = Bob's age. Sin
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) = =
Determine the eigenvalues and eigenvectors of the subsequent matrix. Solution : The first thing that we require to do is determine the eigen-values. It means we require
Method of cylinders or method of shells The formula for the area in all of the cases will be, A = 2 ∏ ( radius ) (heig
Find out the hydrostatic force on the following triangular plate that is submerged in water as displayed. Solution The first thing to do here is set up an axis system
a)Solve for ?, if tan5? = 1. Ans: Tan 5? = 1 ⇒ ? =45/5 ⇒ ?=9 o . b)Solve for ? if S i n ?/1 + C os ? + 1 + C os ?/ S i n ? = 4 . Ans: S i n ?/1 +
Regression - Measures of Relationships - It is a concept that refers to the changes which happen in the dependent variable as a result of changes happens on the independent va
Verify Liouville''s formula for y^ prime prime prime -y^ prime prime - y'' + y = 0 in [0, 1]
Evaluate following limits. Solution In this case we also contain a 0/0 indeterminate form and if we were actually good at factoring we could factor the numerator & den
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