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Natali5045456 [20]
3 years ago
12

Help on 2 pleeeeeaaassseee

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0
10^9 (Ten to the power of nine)
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Consider the differential equation: dy/dx = (y-2)(x^2+1)
Klio2033 [76]

Answer:

6

Step-by-step explanation:

Given,

\dfrac{dy}{dx}=(y-2)(x^2+1) ...(i)

Differentiating w.r. to x.

\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)\dfrac{dy}{dx}

From equation (1)

\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)^2(y-2)

Now, at the point (1,3)

\dfrac{d^2y}{dx^2}= (3-2)(2\times 1)+ (1^2+1)^2(3-2)

\dfrac{d^2y}{dx^2}=6

3 0
3 years ago
What is the equation in slope-intercept form of the linear function represented by the table?
umka2103 [35]

Answer:

y = -x + 9

Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5).  Your first objective is to find the slope.

Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains.  Take any two points and plug it into this: \frac{y_{2}-y_{1} }{x_{2}-x_{1}}.

i.e. (-2,11) and (4,5): \frac{11-5}{-2-4} which is \frac{6}{-6}, or -1.  Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept.  Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0.  We now know that the y-intercept is (0,y).  To find the y-value, plug one of the coordinate pairs of choice into x and y.

i.e. (-5,14): 14 = (-1)(-5) + b

14 = 5 + b

14 - 5 = 5 + b - 5

9 = b

So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

7 0
3 years ago
A nurse sees 25 patients in 5 hours. At this rate, approximately how many patients will the nurse be able to see in an 8-hour pe
AleksandrR [38]

Answer:

40 patients

Step-by-step explanation:

Divide 25 by 5 to get 5 patients per hour (the rate).

Since there are 8 hours, multiply 8 by 5 to get 40 patients in 8 hours.

3 0
3 years ago
What should be done to both sides of the equation in order to solve -5m=-40
irina1246 [14]

Answer:

divide each side by -5

Step-by-step explanation:

-5m = -40

divide each side by -5

-5m/-5 = -40/-5

m = 5


3 0
3 years ago
Read 2 more answers
Which point is the reflection of point E across the y-axis ? What’s are it’s coordinates?
andriy [413]

Answer:

I need more info

Step-by-step explanation:

5 0
3 years ago
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