Suppose the triangles are not congruent and BC - YZ CA ~ Zx: <A><X. Choose the...
Suppose that <A is congruent to <E and BC - DC What can you say about angles <ABF and <EDF? E F B D They are congruent They are supplementary There is not enough information to determine if they are congruent of supplementary.
do the problem no 1
Let r, r2 Tm be a given set of positive rational numbers whose sum is 1. Define the function f by f(n) = n - nfor each positive integer n. Determine the minimum and maximum values of f(n) k=1 An acute angle XCY and points A and B on the rays CX and CY, respectively, are given such that |CX| < \CA = |CB| < \CY]. Show how to construct a line meeting the ray...
96. Consider a vector field F(x, y, z) =< x + x cos(yz), 2y - eyz, z- xy > and scalar function f(x, y, z) = xy3e2z. Find the following, or explain why it is impossible: a) gradF (also denoted VF) b) divF (also denoted .F) c) curl(f) (also denoted xf) d) curl(gradf) (also denoted V x (0f) e) div(curlF) (also denoted 7. (V x F))
2. Determine whether there is a potential function for the vector field V= <yz, xz, xy>. You may use any legitimate method but you must justify your claim. If it there is a potential function, then find it and use it to evaluate the line integral ſ v.dr along the curve r(t) = <V7,4-4,6+1>ifor Osts 4. [10] 4. Suppose S is the surface z= x² + 4y’, lying beneath the plane z=1. Orient S by taking the inner normal n...
Which of the following defines an inner product on R^3 <(x,y,z),(a,b,c)>= xa+2xb+3xc <(x,y,z),(a,b,c)>= xy+za+bc <(x,y,z),(a,b,c)>= xa-yb+zC <(x,y,z),(a,b,c)>= (x+z)(a+c)+(2x+2y)(2a+2b)+(3x+z)(3a+c)
Choose the best answer: Morgan's 2nd law is defined (xy)'= x' + y ' How do you simplify (xyz)' using this law? x'+y'+z' x'+y'z'' x'y'z' x'y'+z' None Use Morgan's 1st and 2nd law, to simplify [(w + x) y] ' w'+x'+y' w'+x'y' w'x'y' w'x'+y' None Use Morgan's 1st and 2nd law to simplify [(x + y)'z']' Remember that (x')'= x xyz (x+y)z x+y+z (xy)+z None Use Morgan's 1st and 2nd law, to simplify [(w + x + y) z] '...
1. Suppose X and Y are continuous random variables with joint pdf f(x,y) 4(z-xy) if = 0 < x < 1 and 0 < y < 1, and zero otherwise. (a) Find E(XY) b) Find E(X-Y) (c) Find Var(X - Y) (d) What is E(Y)?
CPoisson can not be determined. distribution P(np) ) Suppose X~N(0,1) and YN(24), they are independent, then (is incorrect. DX+Y-N(2, 5) BP(Y <2)>0.5 -Y-N (-2,5) D Var(X) < Var(Y) 5) Suppose X,Xy..,X, (n>1) is a random sample from N(μ,02) , let-ly, is| then Var(x)- ( Instruction: The followins ass
2. Suppose X and Y are continuous random variables with joint density function f(x, y) = 1x2 ye-xy for 1 < x < 2 and 0 < y < oo otherwise a. Calculate the (marginal) densities of X and Y. b. Calculate E[X] and E[Y]. c. Calculate Cov(X,Y).
Problem 4 Suppose X and Y have joint PDF Ixr(zy)-{0,y, otherwise, o< <p (a) Find E[XY] (b) Find E[X] (c) Find the Covariance of X and Y