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2 years ago

What is the difference between Laplace Transform and fourier Transform?

1 answer:

5 0

Real time mapping of a function to a new function is known as Fourier transforms. The new mapped function is defined for an interval of (-∞, ∞).

<span>While the Laplace transform is the counterpart, in which a function is mapped to a new function on complex plane. Functions defined for span t≥0 are used by Laplace transformation. </span>

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Does this graph show a function?

Montano1993 [528]

9514 1404 393

Answer:

Step-by-step explanation:

A vertical line intersects the graph in <em>more than one place</em>. As a consequence, we say the graph "fails the vertical line test." When the test fails, the graph is not a graph of a function.

8 0

2 years ago

Write the complex number in the form a + bi.

bonufazy [111]

Answer:

$\frac{3}{2}$ + $\frac{3\sqrt{3} }{2}$ i

Step-by-step explanation:

Using the exact value

cos60° = $\frac{1}{2}$ and sin60° = $\frac{\sqrt{3} }{2}$ , then

3(cos60° + isin60°)

= 3( $\frac{1}{2}$ + $\frac{\sqrt{3} }{2}$ i) ← distribute by 3

= $\frac{3}{2}$ + $\frac{3\sqrt{3} }{2}$ i ← in the form a + bi

7 0

2 years ago

pen costs twice as much as a pencil. The total cost of 1 1 pen and 1 1 pencil is $2.10 $ 2 . 10 . If p represents the cost of 1

dybincka [34]

Answer : The equation could you use to find p is, $2p+p=2.10$

Step-by-step explanation :

Let the cost of 1 pen be, 'x'

and the cost of 1 pencil is, 'p'

As we are given that total cost of 1 pen and 1 pencil is $2.10. The equation will be:

$x+p=2.10$ ............(1)

And we have also given that the pen costs twice as much as a pencil. The equation will be:

$x=2p$ ............(2)

Now put the equation 2 in equation 1, we get:

$x+p=2.10$

$2p+p=2.10$

Thus, the equation could you use to find p is, $2p+p=2.10$

3 0

2 years ago

Read 2 more answers

Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road-oriented at an angle of 25

kap26 [50]

Answer:

6.31 mi

Step-by-step explanation:

The diagram below explains the solution better.

From the diagram,

C = starting point of the race.

A = end of the first part of the race.

B = end of the race.

Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.

Cosine rule states that:

$a^2 = b^2 + c^2 - 2bc[cos(A)]$

where A = angle A = <A

Given that

b = 5.2 miles

c = 2.0 miles

<A = 115° (from the diagram)

Hence,

$a^2 = 5.2^2 + 2.0^2 - 2*5.2*2.0[cos(115)]\\\\a^2 = 27.04 + 4 - 20.8[cos(115)]\\\\a^2 = 31.04 + 8.79\\\\a^2 = 39.83\\\\a = \sqrt{39.83}\\ \\a = 6.31 mi$

The straight-line distance between the starting point and the end of the race is 6.31 mi

4 0

2 years ago

A painting is shaped like a golden rectangle. It's length is 24 cm. What is the paintings width to the nearest tenth of a cm?

olya-2409 [2.1K]

It depends if 24cm is the long dimension or the short one...it's the answer if 24cm is the short dim.
if 24cm is the long dimension then the answer is
24/1.618

6 0

3 years ago