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Dovator [93]
3 years ago
5

Graph each figure with the given vertices and its image after the indicated glide reflection. : R(1, -4), S(6, -4), T(5, -1) Tra

nslation: along (2, 0)
Reflection: in x-axis
Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0

Answer:

Step-by-step explanation:

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Our complex number is:
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answer is point with coordinates (0,3) Graph 1
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The line integral of (2x+9z) ds where the curve is given by the parametric equations x=t, y=t^2, z=t^3 for t between 0 and 1. Pl
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Let r = (t,t^2,t^3)

Then r' = (1, 2t, 3t^2)

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\int_a^b f(r) |r'| dt

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f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector \sqrt{(x')^2 + (y')^2 + (z')^2}

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Fortunately, this simplifies nicely with a 'u' substitution.

Let u = 1+4t^2 +9t^4

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\int_0^1 \frac{2t+9t^3}{8t+36t^3} \sqrt{u}  du \\  \\ \int_0^1 \frac{2t+9t^3}{4(2t+9t^3)} \sqrt{u}  du \\  \\  \frac{1}{4} \int_0^1 \sqrt{u}  du

After integrating using power rule, replace 'u' with function for 't' and evaluate limits:
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