1. What is X in the following equations 235 137 , 238 b) (3 pts) (2...
3. Use the mean value theorem to prove the following inequality. (1 +x)" >1 for z >0 andnEN
Problem 3 (10 pts) The wavefunction of a particle in an infinite potential well, of width a, is initially given by 16 ?(x, t-0) sin"(? x/a) cos(nx/a) Find the expression for ?(x, t) for all t > 0
O words Question 6 3 pts 6. Magnesuim + Oxygen > Magnesium oxide When 55g of magnesium is oxidized by the presence of oxygen, how many moles of product are produced HTML BIVA..LEE 3.x X, E vo V112pt Paragraph
number? 10 3. Let X be a continuous random variable with a standard normal distribution. a. Verify that P(-2 < X < 2) > 0.75. b. Compute E(지)· 110]
2. If X and Y are independent random variables, X has a normal distribution with mean 2 variance 4, and Y has a chi-square distribution with 9 degrees of freedom, then find u such that P(X > 2+11,7)=0.01.
We are given the following information about a signal x(t) a) t) is real and odd. b)x(t) is periodic with period T 2 and has Fourier coefficients a a,-0 for Ikl > 1. d) 2 Identify two possible signals that satisfy these properties.
For what values of x is the function f(x) = x3 + 15 x2 + 63 x increasing? f(x) is increasing when z 〈 and when x>
Problem 3: Conditional Probabilities Let A and B be events. Show that P(An B | B) = P(A | B), assuming P(B) > 0.
Write the parametric equations
x=2siny=4cos0
in the given Cartesian form.
y^2/16= with x0.
Write the parametric equations
x=2sin2y=5cos2
in the given Catesian form.
y= with 0x2.
Write the parametric equations
x=4ety=8e−t
as a function of x in Cartesian form.
y= with x0.
Write the parametric equations x = 2 sin 0, y = 4 cos 0, 0<O< in the given Cartesian form. = with x > 0. 16 Write the parametric equations x = 2 sin’e, y = 5 cos?...
Show mechanism of the following transformation 1. MeMgBr ОMe OH Y LOH OMe 2. HqO+ >