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andrey2020 [161]
3 years ago
5

Please help with Calc AB

Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer:

Step-by-step explanation:

36.

p(t)=(2t-3)e^{2-t}

p(1)=(2*1-3)e^{2-1}=-e

p(3)=(2*3-3)e^{2-3}=3e^{-1}

average~velocity=\frac{3e^{-1}-(-e) }{3-1} \\=\frac{3+e^{2} }{2e} \\\approx 1.9109\\\approx 1.91

37.

p=(2t-3)e^{2-t} \\v=\frac{dp}{dt}\\=(2t-3)e^{2-t}(-1) +2e^{2-t} \\=(5-2t)e^{2-t}

d(u v)=u dv+v du

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tankabanditka [31]
B easy simplify 3/6 and it’s 1/2 half of 6 is 3 so B is the answer
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2 years ago
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Rae wants to poll the students in her school to find out their favorite subject.
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Rae will ask 75 randomb students in her school

Step-by-step explanation:

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2 years ago
Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =
Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

or

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

7 0
3 years ago
Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.
Semenov [28]

Answer:

5 x 10 + 8 = f

Step-by-step explanation:

The reason it is 5 x 10 + 8 = f, is because each bunch has 10 and Ash has five.

In order to find how many flowers he has in 5 bunches is to multiply by how many flowers each bunch has.

Then he gets 8 more flowers which is why it has +8 in the equation.

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monitta
The correct answer is A

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