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The length of the diameter of the circle which touches the X axis at the point (1,0) and passes through the point (2,3) is ?Solution) If a circle touches the x-axis, its equation is(x-h)^2+(y-k)^2=k^2but it is given that the equation passes thru the point (1,0)=> 1+h^2-2h=0=> h=1,0and also that tha equation passes thru the point (2,3)=> 4+9-4h-6k+h^2=0=> 13-4-6k+1=0=> k=5/3=radiusdiameter = 2(radius)= 10/3
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
Consider the differential equation give by y′ = -10(y - sin t) (a) Derive by hand exact solution that satis?es the initial condition y(0) = 1. (b) Numerically obtain the s
WHAT IS PLACE VALUE? : (This section is only for your assumptions, and not-meant to be passed on to your learners.) You may have realised that in the decimal system the numeral
Can I have simplify radicals for Alebgera 2
write the zeros of underroot3power2 -8x+4underroot 3
1. Discuss lyapunov function theory and how it can be used to prove global assmptotic stability of solutions.(Give an example form natural and engineering sciences.) --- Draw le
Newton's Method : If x n is an approximation a solution of f ( x ) = 0 and if given by, f ′ ( x n ) ≠ 0 the next approximation is given by
The area enclosed between two concentric circles is 770cm 2 . If the radius of the outer circle is 21cm, find the radius of the inner circle. (Ans :14cm) Ans: Π R 2 - Π r 2 =
For complex number z, the minimum value of |z| + |z - cosa - i sina|+|z - 2(cosa + i sina )| is..? Solution) |z| + |z-(e^ia)| + |z-2(e^ia)| we see.....oigin , e^ia , 2e^ia , f
S olve the subsequent IVP. dv/dt = 9.8 - 0.196v; v(0) = 48 Solution To determine the solution to an Initial Value Problem we should first determine the gen
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