Symmetry signifies balance and form. An object with rotational symmetry will still look the same after a rotation. Since it maintains its shape and figure after being rotated, therefore its characteristics such as length of the diagonals, the angles of each corner, or parallelism of opposite sides will remain the same.

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3 years ago

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Can someone help me solve this equation? will give brainliest

telo118 [61]

Answer:

x=20

Step-by-step explanation:

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3 years ago

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Find the length of the curve y = integral from 1 to x of sqrt(t^3-1)

Arlecino [84]

$y=\displaystyle\int_1^x\sqrt{t^3-1}\,\mathrm dt$

By the fundamental theorem of calculus,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm d}{\mathrm dx}\displaystyle\int_1^x\sqrt{t^3-1}\,\mathrm dt=\sqrt{x^3-1}$

Now the arc length over an arbitrary interval $(a,b)$ is

$\displaystyle\int_a^b\sqrt{1+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx=\int_a^b\sqrt{1+x^3-1}\,\mathrm dx=\int_a^bx^{3/2}\,\mathrm dx$

But before we compute the integral, first we need to make sure the integrand exists over it. $x^{3/2}$ is undefined if $x$ , so we assume $a\ge0$ and for convenience that $a$ . Then

$\displaystyle\int_a^bx^{3/2}\,\mathrm dx=\frac25x^{5/2}\bigg|_{x=a}^{x=b}=\frac25\left(b^{5/2}-a^{5/2}\right)$

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3 years ago

I need help please and thank you

Katarina [22]

Answer:

F- the first answer choice

Step-by-step explanation:

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2 years ago

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