What is the slope and y-intercept of the linear function?<br><br> f(x)= 2/3x + 12

An analog signal with a bandwidth of 36MHz is sampled at a frequency (fs) of 36,000,000 samples per second during the ADC (analo

Elza [17]

Answer:

The signal would have experienced aliasing.

Step-by-step explanation:

Given that:

the bandwidth of the signal $f_m$ = 36MHz

= 36 × 10⁶ Hz

The sampling frequency $f_s$ = 36 × 10⁶ Hz

Suppose the sampling frequency is equivalent to the bandwidth of the signal, then aliasing will occur.

Therefore, according to the Nyquist criteria;

Nyquist criteria posit that if the sampling frequency is more above twice the maximum frequency to be sampled, a repeating waveform can be accurately reconstructed.

∴

By Nyquist criteria, for perfect reconstruction of an original signal, i.e. the received signal without aliasing effect;

Then,

$f_s \geq 2f_m$

∴

The signal would have experienced aliasing.

4 0

3 years ago

Find the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more

dalvyx [7]

The power series is

g(x) = -2x - (2x)2/2 - (2x)3/3 -(2x)4/4 -.......-(2x)n/n - .....

To deduce the power series of g(x) from the power series for f(x) and identify its radius of convergence

The power series for f(x) is just the geometric series derived from 1/1-y ,setting y=2x.

Its radius of convergence is 0.5

Let,

f(x)= 1/1-2x = 1+ (2x) + (2x)2 + .........+(2x)n......+....

The power series expansion (geometric series),

valid for I2xI < 1 , IxI < 0.5

so, radius of convergence = 0.5

The power series for g(x) is found by integrating term by term the power series of f(x) (upto a constant). The radius of converngence of g(d) is the same as that of f(x) (from general theory) =0.5

Now, g(x) = ln(1-2x)

= -2 $\int\limits^a_b {(1/1-2x)} \, dx = -2 \int\limits^a_b {f(x)} \, dx$

=-2 $\int\limits^a_b {[1+(2x)+ (2x)2 +........+ (2x)n+.......]} \, dx$

g(x) = -2x - (2x)2/2 - (2x)3/3 -(2x)4/4 -.......-(2x)n/n - .....

is the power series expansion for g(x).

radius of convergence =0.5

For more information about power series, visit

brainly.com/question/17225810

#SPJ4

7 0

2 years ago

Peter used a $5 gift certificate to help pay for his lunch after adding a 15% tip to the cost of his meal Peter still had to pay

kogti [31]

So, because he used a five dollar certificate, the total price of his meal was 7.36. Now we need to find the price of his food. Because he gave the waiters a fifteen percent tip, his meal is 85% of the total cost:
0.85(7.36) = 6.256
We can round up:
PETER SPENT $6.26 ON HIS MEAL

5 0

3 years ago

What is the area of this triangle in the coordinate plane? 5 units² 6 units² 7 units² 12 units²

kramer

Given:

A right triangle on a coordinate plane.

To find:

The area of a triangle.

Solution:

We know that, the area of a triangle is

$A=\dfrac{1}{2}\times Base \times Height$