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verify cauchy's mean value theorem for the function f(x) = x and g(x) = sinx in [0,π/2].
solve the following differential equation: 2x^2y(d^2y/dx^2)+4y^2=x^2(dy/dx)^2+2xy(dy/dx)
Show that d= 2v² costheta sintheta(0_x)/gcos²thetax
find the minimal polynomial of the linear operator t : R³ "- R³" define by t (x,y,z) =(x+2y+3z, 4y+5z,6 z).is t
list the ordered pairs in the equivalence relations R induced by these partitions of p { {1} , {3} , { 2,4,5,6} rt he set of { 1,2,3,4,5,6}
find the minimal polynomial of the linear operator t : r³ "-r³" define by t (x,y,z) =(x+2y+3z, 4y+5z,6 z).is t
- James invested 150,000.00 at 2.5% interest compounded semi-annually. Find the maturity value if he invests for (a) 4years? (b) 8years? (c) How much is the additional interest earned due to the longer time?
Suppose A is an n×n matrix, and let v1,.....vn belong to R^n. Suppose {Av1,.....Avn} is linearly independent prove that A is non singular
State the alternative hypothesis for a one-way ANOVA test if there are three groups. What can you conclude at the 5% level of significance?
Find orthogonal trajectory to the curve given by 𝑟 = 𝑎(1 + cos 𝜃)
