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Rus_ich [418]
3 years ago
5

The equation of the line in this graph isy= ____ x+____ .​

Mathematics
1 answer:
Alexxx [7]3 years ago
3 0
The equation of the line in this graph is y = 3/2x + 3.

Explanation:

In slope intercept form equations, the initial value is where everything begins. In this equation, that would be at the point (0,3). From there, because it is going up toward the right side, there is a positive slope. The formula for slope is rise over run, so to get our slope, we have to go up 3 units and over 2 units.
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3 years ago
Identify which of the following functions are eigenfunctions of the operator d/dx: (a) eikx, (b) cos kx, (c) k, (d) kx, (e) e−ax
grigory [225]

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

7 0
4 years ago
A student is asked to calculate the value of 353 using the identity (x + y)3 = x3 + 3x2y + 3xy2 + y3. The student's steps are sh
Pie

Answer:

(a) = 13,500

(b) = 2,250

Step-by-step explanation:

Matching Step 3 with Step 2, we see that ...

(a) = 3x^2·y

(b) = 3x·y^2

Filling in the values given for x and y, we have ...

(a) = 3·30^2·5 = 13,500

(b) = 3·30·5^2 = 2,250

7 0
4 years ago
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