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1 year ago

Using radians find the amplitude in period of each function then graph. Question 9

Mathematics

1 answer:

sleet_krkn [62]1 year ago

6 0

we have the function

$y=\frac{1}{2}sin4\theta$

Remember that

The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2

In the general form of the equation of the sine

$y=Asin(B(x+c))+D$

The amplitude is the factor A

In this problem

The amplitude is 1/2

using a graphing tool

Note that the amplitude is the height from the center line to the peak (the center line is the x-axis, so the distance is 0.5.

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N=3, zeros 4 and 2i, f(2)=-48 find nth degree polinomonal function

enot [183]

The degree is 3, the zeros are; 4, 2i, -2i and a point is (-48, 2)

For zeros; 2i, -2i <-- complex conjugates, always in pairs

$\frac{c}{a}=(2i)(-2i) 
$
= -4(i²=-1)
=5

$\frac{b}{a}=-(2i+(-2i))$
=0

Therefore the equation is; a( $x^{2}$ +5) <-- b value is zero

Rewrite the equation with all zeros;

a(x-4)(x²+5)=f(x) <-- put in coordinates of the points to find the value of x
a(2-4)(2²+5)=-48
a(2)(9)=-48
a=-48/18
a=-8/3

The final polynomial function is; (-8/3)(x-4)(x²+5)=f(x)

Hope I helped :)

5 0

3 years ago

Part 1.] Does the graph have even symmetry, odd symmetry, or neither?

QveST [7]

Part 1
The graph has even symmetry. You can see that because it is symmetric with respect to the y-axis.
Functions that have even symmetry have the following property:
$f(x)=f(-x)$
Part 2
To answer this we can simply check if the property we mentioned earlier holds for this function.
$sin(\frac{\pi}{2})\ne sin(-\frac{\pi}{2})$
We can see that sine does not have even symmetry.
In fact, sine function has the following property:
$sin(x)=-sin(x)$
This is called odd symetry.
Part 3
Take a look at the function that you attached in the picture. We know that function has even symmetry.
Reflection over x-axis and 180° rotation around the origin would give us -f(x). We would not end up with the same function, so these two are out.
90° rotation around the origin would mean we swapped x and y so that one is out too. Reflection over the line y=x is a property of functions that have an odd symmetry.
We are left with reflection around y-axis and, as mentioned before, this is the property of evenly symmetric functions.

4 0

4 years ago

Karen gaines invested $15,000 in a money market account with an interest rate of 2.25% compounded semiannually. Five years later

fredd [130]

Answer:

years later , karen withdrew the full amount to put toward the down payment on a new house. How much did she withdraw? ... gaines invested $15,000 in a money market account with an interest rate of 2.75% compounded semiannually. ... Median response time is 34 minutes and may be longer for new subjects.

6 0

3 years ago

Taylor buys 6 bus tickets. He pays for the tickets with a $20 bill.

4vir4ik [10]

Answer:

20 - 6c

Step-by-step explanation:

because that shows that 6c is the cost of them and you'd take the cost of them away from how much he payed i guess

6 0

3 years ago

Read 2 more answers

Find the value of k 4x+y=8 y=kx+2 options -4 4 -1/4 1/4

nexus9112 [7]

Answer:

4 i think im not sure

Step-by-step explanation:

Subtract yy from both sides of the equation.

4x=8−y4x=8-y

y=kx+2y=kx+2

Divide each term by 44 and simplify.

Tap for more steps...

x=2−y4x=2-y4

y=kx+2

6 0

3 years ago