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Q. Show that the circular cylinder S={(x,y,z)∈R^3 |x^2+y^2=1} can be covered by a single surface patch and so a surface.
Q. The hyperboloid of one sheet is S={(x,y,z)∈R^3 |x^2+y^2-z^2=1} show that for every θ,the straight line (x-z)cosθ=(1-y)sinθ,
(x+z)sinθ=(1+y)cosθ
Is contained in S and that every point of hyperboloid lies on one of these deduce that S can be covered by a single surface patch, and hence is a surface.
(x+z)sinθ=(1+y)cosθ
Is contained in S and that every point of hyperboloid lies on one of these deduce that S can be covered by a single surface patch, and hence is a surface.
Q. Show that the circular cylinder S={(x,y,z)∈R^3 |x^2+y^2=1} can be covered by a single surface patch and so a surface.
4/9(3s-6v)^2
Simplify (5z-4y+3z)(8z-7y+11y)
Simplify (2c+12)(12-2c)
Math
Determine a unique polynomial f(x) of degree <=3 such that
f(x0)=1, f'(x0)=2, f(x1)=2, f'(x1)=3 where x1 - x0 =h
f(x0)=1, f'(x0)=2, f(x1)=2, f'(x1)=3 where x1 - x0 =h
Math
Determine the spacing h in a table of equally spaced values for the function
f(x)= (2+x)^4, 1<=x<=2, so that the quadratic interpolation in this table satisfies |error| <=10^-6
f(x)= (2+x)^4, 1<=x<=2, so that the quadratic interpolation in this table satisfies |error| <=10^-6
Math
The iteration method
xn+1 = 1/8[ 6xn + 3N/xn -xn^3/N], n= 0,1,2
where N is positive constant, converges to some quantity. Determine this quantity. Also find the rate of convergence of this method.
xn+1 = 1/8[ 6xn + 3N/xn -xn^3/N], n= 0,1,2
where N is positive constant, converges to some quantity. Determine this quantity. Also find the rate of convergence of this method.
Math
Find the solution of the difference equation yk+2 -4yk+1 +4yk =0, k=0,1,...... Also find the particular solution when y0=1 and y1=6.
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#339914 on Dec 2023
#339914 on Dec 2023