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nataly862011 [7]
3 years ago
6

The range of y= 2/3 sin x for pi < x < 3pi/2 is ___?

Mathematics
1 answer:
victus00 [196]3 years ago
5 0

Answer:

-2/3 < y < 0

Step-by-step explanation:

y = Asin(x)

Edit*

There's a node (y=0) at pi for sine wave. At 3/2pi will be the min. So range goes from -2/3 to 0

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Car A is traveling east at a steady speed of 60 miles per hour. After 2 hours, it is 150 miles east of Johnstown.
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Its D.

Step-by-step explanation:

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8 0
3 years ago
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What is the degree of this polynomial? x ^ 3 + xy + x * y ^ 2 + 5y + 3
ludmilkaskok [199]

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The degree of the given polynomial is 3.

Hope it will help :)

6 0
3 years ago
Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).
Hitman42 [59]
<span>The two points that are most distant from (-1,0) are exactly (1/3, 4sqrt(2)/3) and (1/3, -4sqrt(2)/3) approximately (0.3333333, 1.885618) and (0.3333333, -1.885618) Rewriting to express Y as a function of X, we get 4x^2 + y^2 = 4 y^2 = 4 - 4x^2 y = +/- sqrt(4 - 4x^2) So that indicates that the range of values for X is -1 to 1. Also the range of values for Y is from -2 to 2. Additionally, the ellipse is centered upon the origin and is symmetrical to both the X and Y axis. So let's just look at the positive Y values and upon finding the maximum distance, simply reflect that point across the X axis. So y = sqrt(4-4x^2) distance is sqrt((x + 1)^2 + sqrt(4-4x^2)^2) =sqrt(x^2 + 2x + 1 + 4 - 4x^2) =sqrt(-3x^2 + 2x + 5) And to simplify things, the maximum distance will also have the maximum squared distance, so square the equation, giving -3x^2 + 2x + 5 Now the maximum will happen where the first derivative is equal to 0, so calculate the first derivative. d = -3x^2 + 2x + 5 d' = -6x + 2 And set d' to 0 and solve for x, so 0 = -6x + 2 -2 = -6x 1/3 = x So the furthest point will be where X = 1/3. Calculate those points using (1) above. y = +/- sqrt(4 - 4x^2) y = +/- sqrt(4 - 4(1/3)^2) y = +/- sqrt(4 - 4(1/9)) y = +/- sqrt(4 - 4/9) y = +/- sqrt(3 5/9) y = +/- sqrt(32)/sqrt(9) y = +/- 4sqrt(2)/3 y is approximately +/- 1.885618</span>
7 0
3 years ago
[tex]2yx^{4} x 5yx^{3}
Paladinen [302]

Answer:B

Step-by-step explanation: hopes this helps

4 0
3 years ago
Graph both functions to find the solution(s) to the system. Use the line tool to graph the line.
kumpel [21]
The graph shows solutions to be ...
  (x, f(x)) = (x, g(x)) = (-2, 5), (2, -3)

_____
Analytically, it works well to find
  g(x) -f(x) = 0
  (x^2 -2x -3) -(-2x +1) = 0
  x^2 -4 = 0
  x^2 = 4
  x = ±√4 = ±2
Then
  f(-2) = -2(-2) +1 = 5
  f(2) = -2(2) +1 = -3

5 0
3 years ago
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