Answer:
8 is 16 divided by 2
Step-by-step explanation:
Answer
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
Answer:
140
Step-by-step explanation:
3.5×40=140
.........................
Thee diagonal of the rectangle is 13.86 cm long.
<h3>What is the length of the diagonal of rectangle?</h3>
We are given that;
Width of a rectangle is 9 less than twice its length. Thus, if length is L, then;
W = 2L - 9
Area formula for a rectangle is;
A = Length * Width
We are given area of rectangle = 96 cm²
Thus;
L(2L - 9) = 96
2L² - 9L = 96
2L² - 9L - 96 = 0
Using online quadratic equation calculator gives;
L = 9.53 cm
Thus;
W = 2(9.53) - 9
W = 19.06 - 9
W = 10.06 cm
The diagonal of the triangle will be gotten from Pythagoras theorem;
D = √(9.53² + 10.06²)
D = √192.0245
D = 13.86 cm
Thus, we conclude that the diagonal of the rectangle is 13.86 cm long.
Read more about Rectangle Diagonal at; brainly.com/question/7071655
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