The tangent line to the curve can be determined by implicitly differentiating the equation of the curve. In this case, with the equation <span>y sin 12x = x cos 2y, (π/2, π/4), the implicit differentiation is 12 y cos 12x dx + sin 12 x dy = -2x sin 2y dy + cos 2y dx; dx (12 y cos 12x - cos 2y) = dy (</span><span>-2x sin 2y - sin 12x). Hence
y' = (</span>12 y cos 12x - cos 2y) / (<span>-2x sin 2y - sin 12x)</span>
For this problem I would change:
2x + 3y = 25 into
-2x - 3y = -25
Then, I would add up both equations by lining them up top of another.
5x + 3y = 31
+ -2x - 3y = -25
3x = 6
x = 2
Now that you have x, solve for y.
5x + 3y = 31
5(2) + 3y = 31
10 + 3y = 31
3y = 21
y = 7
So, x is 2 and y is 7.
Check to see if the values are correct by plugging them into the other equation.
2x + 3y = 25
2(2) + 3(7) = 25
4 + 21 = 25
25 = 25
Since the values are correct, the solution to this problem is A (2, 7).
Answer: x stands for the distance right or left of the Origin (0, 0), and Y is the distance up or down from the Origin
Step-by-step explanation:
Answer:
108.75 square meter.
Step-by-step explanation:
<h3>Surface area of pentagon based pyramid:</h3>
Here, b is the base length of the pyramid. b = 3 m
a is the apothem of the pyramid. a = 3.5 m
s is the slant height of the pyramid. s = 11 m
