Day 175: 24th June 2023 (Late post)
Using only ruler with scale, and a regular pair of compasses, construct a circle with diameter of √128cm , and an inscribed right triangle, with the other 2 angles are 30° and 60°.
Day 176: 25th June 2023
Find the equation of the circle passing through the point (-1, 4) and (1, 2), and touching the line 3x – y – 3 =0 .
Equation of the circle
x²+y²+4x-2y-5=0
Day 177: 26th June 2023
Find the equation of the circle x²+y²-4x+2y+k (x²+y²-2y-4) = 0, which its centre lies on 2x+4y=1 .
Answer
k = 1/3, equation of the circle: x²+y²-3x+y-1=0
Day 178: 27th June 2023
How many multiples of 10 between 4001 and 6999 are there that have no repeating digit?
Answer: 168
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Day 311: 7th November 2023
Try to solve by Cramer’s rule and… Gaussian elimination.
Check: x = 1, y = 5, z = -6
Answer for 2nd Nov:
Day 312: 8th November 2023
been long time since I did those
I will give it a try
X^3 derivative is 3X^2
Csc x derivative is –csc(x)cot(x) (I totally forgot those, copied from google xD)
answer = (3 X^2) . ( –csc(x)cot(x)) = (3 X^2) . ( –csc(x) . cot(x)) = -3X^2.csc(x) + 3X^2.cot(x)
y = -3X^2.csc(x) + cX^2.cot(x)
You got the formula right from Google (if not then rip xD)
but… use chain rule please lol
I also wonder why you have the last one, the value of y, and where does it come from. Integration?
ps. The answer will be correct for y = x^3 + csc x
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guess I forger my math xd
the answer is 4 right?
Uh, answer for day 313 is 104
You never posted the answer to the question in the topic title… ;p
no way, can you explain how to get that 100?
7 x (17^2)
= 7 x 289
= 2023
yea