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Cylinder
The below equation is the common equation of a cylinder.
x2 /a2 + y2/b2 = 1
This is known as a cylinder whose cross section is an ellipse. If a = b we comprise a cylinder whose cross section is a circle. We will be dealing with those types of cylinders more than the general form thus the equation of a cylinder along with a circular cross section is,
x2 + y2 = r2
Here is a diagram of typical cylinder along with an ellipse cross section.
In the diagram the cylinder will be centered on the axis corresponding to the variable which does not appear in the equation.
Be cautious to not confuse this with a circle. In two dimensions it is a circle, although in three dimensions (3D) it is a cylinder.
If 7sin 2 ?+3cos 2 ? = 4, show that tan? = 1/√3 . Ans: If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan? 1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)
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Perpendicular to the line given by 10 y + 3x= -2 For this part we desire the line to be perpendicular to 10 y + 3x= -2 & so we know we can determine the new slope as follows,
Please, I want to know and study "stability 0n predictor -corrector method .My gmail is [email protected] heap and kind to me .Thanks for this.
Proof of: if f(x) > g(x) for a x b then a ∫ b f(x) dx > g(x). Because we get f(x) ≥ g(x) then we knows that f(x) - g(x) ≥ 0 on a ≤ x ≤ b and therefore by Prop
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Given f (x) = - x 2 + 6 x -11 determine each of the following. (a) f ( 2) (b) f ( -10) (c) f (t ) Solution (a) f ( 2) = - ( 2) 2 + 6(2) -11 = -3 (
The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+
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