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3 years ago

Pleaseeee helppppppp

Mathematics

2 answers:

USPshnik [31]3 years ago

7 0

I THINK ITS A 3:2!!!!!!!!!!!

zavuch27 [327]3 years ago

6 0

Answer:

2:3, 2 segments and 3 segments

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$\vec r(t)=3t\,\vec\imath-4t\,\vec\jmath$

$\implies\left\|\dfrac{\mathrm d\vec r(t)}{\mathrm dt}\right\|=\|3\,\vec\imath-4\,\vec\jmath\|=\sqrt{3^2+(-4)^2}=5$

The line integral of $f(x,y)$ along the curve $C$ parameterized by $\vec r(t)$ is

$\displaystyle\int_Cf(x,y)\,\mathrm ds=\int_{-2}^{-1}f(3t,-4t)\left\|\dfrac{\mathrm d\vec r(t)}{\mathrm dt}\right\|\,\mathrm dt=-20\int_{-2}^{-1}te^{9t^2}\,\mathrm dt$

Substitute $u=9t^2$ so that $\mathrm du=18t\,\mathrm dt$ . Then

$\displaystyle\int_Cf(x,y)\,\mathrm dS=-\frac{20}{18}\int_{36}^9e^u\,\mathrm du=\frac{10}9\int_9^{36}e^u\,\mathrm du=\boxed{\frac{10}9(e^{36}-e^9)}$

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4 years ago

10. A company is designing a new cylindrical water bottle. The volume

ValentinkaMS [17]

The radius of the water bottle to the nearest hundredth is 2.01 cm

<h3>How to calculate the volume of a cylinder</h3>

A cylinder is a solid figure with circular bases and height.

The volume of a cylinder = πr²h

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Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²

r = 2.01 cm

Hence the radius of the water bottle to the nearest hundredth is 2.01 cm

Learn more on volume of cylinder here: brainly.com/question/9554871

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3 years ago

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