Answer:
The correct option is;
e. 2500
Step-by-step explanation:
The formula for sample size is given by the following formula;
At 95%, z = 1.96
ε = Margin of error = 0.02 = 2%
Finding the sample size, n, given only the margin of error is by the following formula;
Margin of error = 100/√n
Therefore, we have;
2 = 100/√n
√n = 100/2 = 50
n = 50² = 2500
Therefore, the correct option is e. 2500.
Answer: Identify which of the following functions are eigenfunctions of the operator d/dx: (a) eikx, (b) cos kx, (c) k, (d) kx, (e) e−ax2
Step-by-step explanation: First, we going to apply the operator derivate to each item. Remember that a function f is an eigenfunction of D if it satisfies the equation
Df=λf, where λ is a scalar.
a) D(eikx)/dx= ik*eikx, then the function is a eigenfunction and the eingenvalue is ik.
b) D(cos kx)/dx= -ksen kx, then the funcion is not a eigenfunction.
c) D(k)/dx=0, then the funcion is not a eigenfunction.
d) D(kx)/dx=k, then the funcion is not a eigenfunction.
e) D(e-ax2)/dx= -2ax*e-ax2, then the function is a eigenfunction and the eingenvalue is -2ax
When reflecting a point across the x-axis, you multiply the y coordinate by -1 (you flip the sign), so (-8,-3) would turn into (-8,3).
When reflecting a point across the y-axis, you multiply the x coordinate by -1 (flip the sign), so (-8, -3) becomes (8, -3)
