The value at point ( 1, 1 ) is 8.
<u>Explanation:</u>
Given
3y³ = 2x⁹ + 1
y³ = 2/3x⁹ + 1/3
y = ∛2/3 x⁹ + 1/3
We need to first find dy/dx which is the first derivative and then d²y/dx² which is the second derivative
Put the value of (1,1) : x = 1 and y = 1 in d²y/dx² equation
Therefore, the value is 8.
The best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.
There are four main categories of transformations:
A stiff transformation known as an isometry maintains perimeter and area while also preserving length and angle measurements. In other words, there is congruence between the preimage and the image. Translations, reflections, and rotations are therefore isometric, but dilations are not since the image and preimage are comparable, rather than congruent figures.
The transformation in the question will be isometric when the preimage of the rectangle before 360° rotation, will be congruent to the image after the rotation.
The congruency is best described by the option "The rectangle did not change shape or size", as that is the basis of congruency.
Thus, the best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.
Learn more about isometric transformations at
#SPJ4
The provided question is incomplete. For the complete question, refer to the attachment.
