State an explicit rule for the nth term of the recursively defined sequence. Then use mathematical induction to prove the rule. an=anā1+5a_n=a_{n-1}+5anā=anā1ā+5, a1=3a_1=3a1ā=3
Let X and Y be random variables with
fX,Y(x,y)={1,āy<x<y,0<y<10,Ā elsewhereĀ f_{X, Y}(x, y)=\left\{\begin{array}{ll} 1, & -y<x<y, \quad 0<y<1 \\ 0, & \text { elsewhere } \end{array}\right. fX,Yā(x,y)={1,0,āāy<x<y,0<y<1Ā elsewhereĀ ā
Show that Cov(X, Y) = 0 but that X and Y are dependent.
Combine like terms. Simplify the expression.
16+4aā2a+7u+2u16 + 4 a - 2 a + 7 u + 2 u 16+4aā2a+7u+2u
Write the equation of g(x) given that g(x) is a transformation of the graph of f(x) = 0.6x^xx as described.
A vertical shrink by a factor of 0.1 and a translation 5 units left