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how the parametric equations of parabola are derived?and what is the condition for the parabola whose equation is in the form of general equation of the two intersecting lines?
Identify the surface for each of the subsequent equations. (a) r = 5 (b) r 2 + z 2 = 100 (c) z = r Solution (a) In two dimensions we are familiar with that this
By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9. Answer: Let make four groups of two numbers from 1 to 8 like
arrange these numbers in ascending order. -5 -7 1 2 15 0 - 25
steps to trace the cartesian curve
15(4*4*4*4*+5*5*5)+(13*13*13+3*3*3)
Empty Set or Null Set It is a set which having no elements. It is usually designated by a Greek letter Ø, or else { }. The sets Ø and { Ø } are not the same thing since the
In this section we will consider for solving first order differential equations. The most common first order differential equation can be written as: dy/dt = f(y,t) As we wil
Arc length Formula L = ∫ ds Where ds √ (1+ (dy/dx) 2 ) dx if y = f(x), a x b ds √ (1+ (dx/dy) 2 ) dy
A population forms a normal distribution with a mean of μ=80 and a standard deviation of o=15. For every samples, compute the z-score for the sample mean and determine whether the
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