How to solve this problem

BARSIC [14]

The easiest way to do this is to convert both of the numbers to improper fractions. so 10 becomes 10/1 and 3 1/6 becomes 19/6. Then we multiply straight across so 10*19 is 190 and 1*6 is 6 and we get 190/6. This can be simplified to 95/3 which is 31 2/3. Hope this helps.

6 0

3 years ago

A) Use the definition of Laplace transform to find L{f }. (Do the integrals.) For what values of s is L{f } defined?f(t) = (2t+1

kiruha [24]

For the given function f(t) = (2t + 1) using definition of Laplace transform the required solution is L(f(t))s = [ ( 2/s²) + ( 1/s) ].

As given in the question,

Given function is equal to :

f(t) = 2t + 1

Simplify the given function using definition of Laplace transform we have,

L(f(t))s = $\int\limits^\infty_0 {f(t)e^{-st} } \, dt$

= $\int\limits^\infty_0[2t +1] e^{-st} dt$

= $2\int\limits^\infty_0 te^{-st} + \int\limits^\infty_0e^{-st} dt$

= 2 L(t) + L(1)

L(1) = $\int\limits^\infty_0e^{-st} dt$

= (-1/s) ( 0 -1 )

= 1/s , ( s > 0)

2L ( t ) = $2\int\limits^\infty_0 te^{-st}$

= $2[t\int\limits^\infty_0 e^{-st} - \int\limits^\infty_0 ({(d/dt)(t) \int\limits^\infty_0e^{-st} \, dt )dt]$

= 2/ s²

Now ,

L(f(t))s = 2 L(t) + L(1)

= 2/ s² + 1/s

Therefore, the solution of the given function using Laplace transform the required solution is L(f(t))s = [ ( 2/s²) + ( 1/s) ].

Learn more about Laplace transform here

brainly.com/question/14487937

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8 0

1 year ago

A football player punts a ball. The path of the ball can be modeled by the equation y = –0.004x2 + x + 2.5, where x is the horiz

Galina-37 [17]

The answer is 252.5 ft

y = –0.004x² + x + 2.5
Let's take y = 0 and we'll get the quadratic equation:

–0.004x² + x + 2.5 = 0
The general formula for quadratic equation is:
ax² + bx + c = 0

a = -0.004
b = 1
c = 2.5

$x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac} }{2a} =\frac{-1+/- \sqrt{ 1^{2}-4*(-0.004)*2.5} }{2*(-0.004)} = \frac{-1+/- \sqrt{1+0.04} }{-0.008} = \\ 
=\frac{-1+/- \sqrt{1.04} }{-0.008} = \frac{-1+/-1.02}{-0.008}$

$x_1=\frac{-1+1.02}{-0.008} = \frac{0.02}{-0.008} = -2.5 \\ 
x_2=\frac{-1-1.02}{-0.008} = \frac{2.02}{-0.008} = 252.5$

Since distance cannot be negative (x1), the correct answer is x2 = 252.5 ft

5 0

3 years ago

Read 2 more answers

Give the value of x . A. 60 degrees B. 180 degrees C. 120 degrees D. 45 degrees

Harrizon [31]

Answer:

x=120°

Step-by-step explanation:

sum of all angles in a triangle is equal to 180

let the unknown angle be

$\alpha$