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3 years ago

Graphing Exponential Function in Exercise ,sketch the graph of the function.See example 3 and 4.

Mathematics

1 answer:

9966 [12]3 years ago

7 0

Answer:

The graph is attached below.

Step-by-step explanation:

Considering the exponential function

$y=3^{-2x}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{bx}=\left(a^b\right)^x$

$3^{-2x}=\left(3^2\right)^{-x}$

$=\left(3^2\right)^{-x}$

$=9^{-x}$

The graph is also attached below.

Keywords: exponential function, graph

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f the points (-4, 1) and (2, 1) are the endpoints of a diameter of a circle, where is the center? A) (-7, 1) B) (-1, 1) C) (1, -

Ulleksa [173]

Answer:

Step-by-step explanation:

The centre is at the midpoint of the endpoints of the diameter.

Using the midpoint formula, then

centre = ( $\frac{-4+2}{2}$ , $\frac{1+1}{2}$ ) = (- 1, 1 ) → B

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3 years ago

A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10sin( t ) N(newtons) and moves in a mediu

yKpoI14uk [10]

Answer:

A) C1 = 0.00187 m = 0.187 cm, C2 = 0.0062 m = 0.62 cm

B) A sample of how the graph looks like is attached below ( periodic sine wave )

C) w = $\sqrt[4]{3}$ is when the amplitude of the forced response is maximum

Step-by-step explanation:

Given data :

mass = 5kg

length of spring = 10 cm = 0.1 m

f(t) = 10sin(t) N

viscous force = 2 N

speed of mass = 4 cm/s = 0.04 m/s

initial velocity = 3 cm/s = 0.03 m/s

Formulating initial value problem

y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m

spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m

f(t) = 10sin(t/2) N

using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion

the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)

A) finding the solution of the initial value

attached below is the solution and

B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like

C attached below

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3 years ago

Plane A is descending toward the local airport, and plane B is ascending from the same airport. Plane A is descending at a rate

Bas_tet [7]

Answer: 2 minutes

Step-by-step explanation:

Given the following :

Plane A's descent :

y = -2,500x + 14,000

Plane B's Ascent :

y = 4,000x + 1,000

where y = altitude x = minute

Time to be at the same altitude :

Being at the same altitude means ;

Plane A's descent = Plane B's Ascent

-2,500x + 14,000 = 4,000x + 1,000

-2500x - 4000x = 1000 - 14000

-6500x = - 13000

x = 13000 / 6500

x = 2

x = 2minutes.

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3 years ago

What is the length of the missing side of this triangle?

N76 [4]

Answer:

The answer is B=10 and the top is called hypothenus

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2 years ago

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You can make small 20 small frames in 4 days or 21 large frames in 3 days. A customer has just place a order with you for 40 sma

cupoosta [38]

Answer:

I got 17.

Step-by-step explanation:

Because it takes 4 days to make 20 small frames, it takes 8 days to make 40. And because it takes 3 days to make 21 frames, and 21 multiplied by 3 is 63 (one less than 64), it would take 9 days (3 times the amount for 21) to make 64 large frames. In all, it would take APPROXIMATELY 17 days (9 +8 is 17)

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3 years ago