To convert from rectangular coordinate (x, y) to polar coordinate (r, θ).
r is given by the square root of the sum of the squares of the rectangular coordinate.
and θ is given by the arctan of the ratio of y to x.
Example:
To convert rectangular coordinate (3, 4) to polar coordinate
Therefore, rectangular coordinate (3, 4) = polar coordinate (5, 53.13°)
Unsure of what you mean by "reference number."
I do recognize that 11pi/9 is in quadrant III. I suspect that the so-called "reference number" is the acute angle between the end ray of 11pi/9 and pi, or, in more easily comparable numbers, between 9pi/9 and 11pi/9.
That difference is 2pi/9.
The rule that describes this translation is (x,y)→(x+3,y-6)
Step-by-step explanation:
In this question, first find the image of the object coordinate under the translation.The object coordinate is at (1,3).
Going 3 units to the right will be (1+3) to get x coordinate for image as 4
Going 6 units down will be (3-6) to get y coordinate for image as -3
The image coordinate will be (4,-3)
The rule is translation (x,y)→(x+3,y-6)
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Keywords : coordinate, translation
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Answer:
If you meant the equation was xe^3x
then the first derivative would be 3xe^3x+e^3x using the product rule
Then to find the second derivative you'll have to use both the product rule and sum rule inorder to get the answer.
The 2nd derivative would therefore be 9xe^3x+6e^3x or in factored form
3e^3x(3x+2)
You can multiply 90 by .3 since 3/10 is .3
then you would get 27
