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Sholpan [36]
3 years ago
9

Q5 Q5.) Use the​ (x,y) coordinates in the figure to find the value of the trigonometric function at the indicated real​ number,

t, or state that the expression is undefined.

Mathematics
2 answers:
e-lub [12.9K]3 years ago
4 0
Csc (3pi/2) = 1/sin(3pi/2)

According to the graph sin(3pi/2) = -1

So,

csc (3pi/2) = 1/(sin(3pi/2) = 1/(-1) = -1

The answer is -1
valentinak56 [21]3 years ago
4 0

csc(x) = 1/sin(x)

so csc(3pi/2) = 1/sin(3pi/2)

from the unit circle, 3pi/2 corresponds to (0,-1)

sin(3pi/2)=-1

csc(3pi/2)=1/-1=-1

A.

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If M is the midpoint of XY, find the coordinates of X if M(-3, -1) and Y(-8, 6) A. (2.5, -5.5) B. (-5.5, 2.5) C. (0, 0) D. (2, -
nadezda [96]

Answer:

(2, -8)

Step-by-step explanation:

(x, y)=(-3, -1)

(x1+x2)/2=-3,

(y2+y2)/2=-1,

-------------------

(x1+x2)/2=-3

(y1+y2)/2=-1

---------------------

x1-8=-6

x1=2

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y1+6=-2

y1=-8

(2, -8)

6 0
3 years ago
What is the horizontal asymptote for y(t) for the differential equation dy dt equals the product of 2 times y and the quantity 1
marta [7]
First, we need to solve the differential equation.
\frac{d}{dt}\left(y\right)=2y\left(1-\frac{y}{8}\right)
This a separable ODE. We can rewrite it like this:
-\frac{4}{y^2-8y}{dy}=dt
Now we integrate both sides.
\int \:-\frac{4}{y^2-8y}dy=\int \:dt
We get:
\frac{1}{2}\ln \left|\frac{y-4}{4}+1\right|-\frac{1}{2}\ln \left|\frac{y-4}{4}-1\right|=t+c_1
When we solve for y we get our solution:
y=\frac{8e^{c_1+2t}}{e^{c_1+2t}-1}
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity. 
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
$$\lim_{x\to\infty} f(x)$$=y=\frac{8e^{c_1+\infty}}{e^{c_1+\infty}-1} = 8
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants. 
So our asymptote is at y=8.

3 0
3 years ago
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9966 [12]
I think your talking about area so just 53 x 24= your answer
7 0
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Answer:

It is the longest one (20).

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