X = a (cost + TSINT) y = a (sint tcost) derivation dy / DX Which God taught me

X = a (cost + TSINT) y = a (sint tcost) derivation dy / DX Which God taught me


analysis
x=acost+atsint
y=asint-atcost
dx=-asint+asint+atcost
dy=acost-acost+atsint
∴dy/dx=(acost-acost+asint)/(atcost)
=asint/atcost
=tan/t
Type decisively,



How many squares does a large square with 16 small squares contain?


There are sixteen small ones, one is the largest one, and the four small ones in the center are combined into one. Then the four corners of the largest square are marked to form a large square composed of four and nine small squares, that is, 2 * 4 = 8. All of them add up to 26



There are four cylindrical wooden columns in the school corridor. The perimeter of the bottom is 9.42 decimeters and the height is 3 meters. What is the paint area of the four columns?


9.42dm = 0.942m
942 × 3 × 4
=11.304 square meters



Let k = 13, add the operation of + - × / in 3, 3, K, K (bracket can be added), so that the result of operation is 36 and the formula is______ .


∵ k = 13, add the operation of +, -, × or △ in 3, 3, K, K (brackets can be added), so that the operation result is 36, ∵ add the operation of +, -, × or △ in 3, 3, 13, 13 (brackets can be added), so that the operation result is 36, ∵ 13 × (3-3 △ 13) = 36 can be obtained



If FX (x0, Y0), FY (x0, Y0) exist, then the function f (x, y) is ()
A is continuous and differentiable, B is continuous but not necessarily differentiable
C is differentiable but not necessarily continuous D is neither differentiable nor necessarily continuous


The function z = f (x, y) has two partial derivatives FX (x0, Y0) and FY (x0) at the point (x0, Y0). The necessary condition D is neither sufficient nor necessary condition C



In a glass jar, there is a rockery with a height of 3 decimeters and a volume of 4 cubic decimeters. If the flow rate of the water pipe is 16 cubic decimeters per minute, the rockery will be placed
How long will it take at least to flood the rockery with water?
The length is 6dm, the water height is 3DM, and the width is 2DM


If the height of the glass jar and the height of the rockery are both three decimeters, that is:
(6*3*2-4)/16
=(36-4)/16
=32/16
=2 (minutes)



Using addition, subtraction, multiplication, division and brackets, the result of 32.17.14.63.2 is 2008


(2÷14+32)×63-17 =2008



Given the linear function Y1 = 2x + A, y2 = - 3x-2a-1, try to find the intersection point of two function images in the first quadrant when a is what value


Let the intersection be (x, y)
Then y = 2x + a
y=-3x-2a-1
The simultaneous solution is x = - 3 / 5a-1 / 5
y=-1/5a-2/5
The intersection is in the first quadrant, that is, x > 0, Y > 0
Then - 3 / 5a-1 / 5 > 0 means A0 means a



How many square meters does a circular fountain with a diameter of 10 meters cover


10 divided by 2 = 5
5 × 5 times π = 25 π



How to use 2, - 3,4, - 5,6 to calculate 24 o'clock?


4*6+2-(-3)+(-5)=24