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3 years ago

How to do that? Thanks

Mathematics

1 answer:

Vladimir [108]3 years ago

5 0

9) We need to find the limit as x approaches 2 of f(x) - g(x).
When we are approaching a certain value, we are essentially finding values that are infinitesimally approaching x = 2, to the point where we find the exact value when x hits 2.

Thus, by substituting x = 2 into f(x) - g(x), we are finding the value at which the functions' difference hits x = 2.

$\lim_{x \to 2} [f(x) - g(x)] = \lim_{x \to 2}[\frac{3x + 2}{4} - x^{2} + 3]$
$= \frac{3(2) + 2}{4} - 2(2)^{2} + 3$
$= \frac{8}{4} - 8 + 3$
$= 2 - 8 + 3$
$= -3$

Every other question repeats this process, so by applying the above process, your answers should come out smoothly.
Let me know if you need any more assistance, and I can guide you through them.

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A 1 newton force will stretch a spring 1 meter. The spring/mass system is damped by a force that is 8 times the instantaneous ve

sukhopar [10]

Answer:

Step-by-step explanation:

Given the mass is m =16kg, and 1N force will stretch the spring 1 m.

That is, F =1N,Z =1m. Now find the spring constant k:

F = kL = 1 = k(1) = k= 1N/m.

The damping force is 8times the instantaneous velocity, this means β = 8,

and the external force is f(t) = 0

Initially the object compressed 0.6m above equilibrium position,

with the downward velocity is 2m/s.

The differential equation for a spring mass system with

damping force and extemal force is: mx" + βxt + kx = f(t).

so, 16x"+ 8x' + x= 0, x(0} = -0.6, x'(0)= 2m/s.

Now solve the DE:

The auxilary equation for the homogeneous equation is 16x"+8x'+x=0

solving we get, 16r² + 8r + 1 = 0 => (4r + 1)² = 0 => r = - 1/4.

Then the general solution for the homogenous system is: $x(t)=c_1e^{-t/4} +c_2te^{-t\4}$ .

Use the initial conditions x (0) = -0.6, x'(0) = 2m/s:

$x(0)=c_1e^{0} +c_2(0)e^{0}=-0.6=c_1\\x'(t)=-\frac{1}{4}c_1e^{-t/4}+c_2e^{-t/4}-\frac{1}{4}c_2te^{-t/4}\\x'(0)=-\frac{1}{4}c_1e^0+c_2e^0-\frac{1}{4}c_2(0)e^0=2=-\frac{1}{4}(-0.6)+c_2=c_2=1.85$ .

Hence, $x(t) =-0.6e^{-t/4}+1.85te^{-t/4}$ .

5 0

3 years ago

I need help plzzzzzzzzz help me

andrew11 [14]

Answer:

Which do you need help with?

1. -6 is 4 units from -2 in the negative direction.

2. A. and D

Step-by-step explanation:

When adding negative numbers the negative will be more, but if you are adding positive and negative numbers, whichever sign (+ or -) has the bigger number then that is the sign of the answer.

Additive inverses are when two numbers are added together to equal zero. Therefore if you have -3+3, it would be an additive inverse.

Hope this helps.

5 0

3 years ago

What is the measure of n?

horsena [70]

The value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

<h3>What is a right-angle triangle?</h3>

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We can use the altitude rule:

8/n = n/4

n² = 32

n = √32

Thus, the value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ1

8 0

2 years ago

Is a triangle a right angle

muminat

Some triangles can have a right angle, but not all triangles are right angles. If a triangle has a right angle, it has one angle of 90°. Triangles have a total of 180°.

Hope this helps! :)

8 0

4 years ago

Printing Brochures The trade show is less than three weeks away. Your manager wants to be sure you have plenty of color brochure

Mice21 [21]

Answer:

1. No extra fees unless we need out order sooner (2 weeks for an extra $50)

2 .orders of 1000 or more are 40 cents a piece orders of fewer thank 1000 are 60 cents a piece

3. The brochure will arrive in three weeks so we need to pay an extra $50 to get them before the show

Step-by-step explanation:

I’ve done this already but if you need me to explain lmk:)

5 0

3 years ago