Given that the image of the function y = 3x + 2B intersects with the image of the function y = - 4x-1 / 2A at a point on the Y axis, the value of 3a:2b is equal to____

Given that the image of the function y = 3x + 2B intersects with the image of the function y = - 4x-1 / 2A at a point on the Y axis, the value of 3a:2b is equal to____

The intersection of y = 3x + 2B and Y axis is (0,2b)
The intersection of y = - 4x-1 / 2a and Y axis is (0, - 1 / 2a)
And because of the same point
So 2B =, - 1 / 2A
A=-4B
So 3A: 2B = - 6

A cuboid reservoir, covering an area of 12 square meters, is 1.5 meters deep. How many cubic meters can it store water at most?

12 × 1.5 = 18 M3

How about three, five, seven and - thirteen
You can only add, subtract, multiply and divide

There is only one way:
[7－(－13)×5)]÷3
＝[7－(－65)]÷3
＝72÷3
＝24

What is the curvature of a circle

The curvature of a circle is equal to the reciprocal of the radius of the circle, that is, k = 1 / R. question: why? Is there any calculation process? Answer: the curvature of a continuous smooth curve can be understood as the angle between the normals corresponding to the two ends of the unit arc length, expressed by the formula: k = Δ θ / Δ s; for a circle with radius r, Δ s = R Δ θ, then k = 1 / R; a straight line can be regarded as a special case of a circle, that is, R →∞, then k = 0, That is, the curvature of a straight line is zero. For a general curve, the calculation of curvature needs differential calculus. For details, please refer to the related contents of Advanced Mathematics (calculus). Question: I want to continue to ask why the curvature formula: | Y "| / (1 + y ') ^ 1.5 does not give 1 / R? For example, x ^ 2 + y ^ 2 = 4, please give me your advice. Answer: it may be caused by problems or improper methods in the calculation process, It is suggested to use the implicit function differentiation method to calculate the derivative without solving the function first, which is cumbersome and easy to make mistakes, so try again. Supplement: for example, for the circle x ~ 2 + y ~ 2 = R ~ 2 (where ~ is superscript), the differential on both sides can get 2x + 2yy '= 0 (1), and y' = - X / Y (2); for the formula (1), the further differential can get 1 + y'y '+ YY "= 0, Then y "= - (1 + y'y ') / Y (3); substituting (2) into (3), we can get (following) supplement: (following) y" = - [1 + (x ~ 2) / (Y ~ 2)] / y = - (x ~ 2 + y ~ 2) / (Y ~ 3) = - (R ~ 2) / (Y ~ 3) (4), then substituting (2) (4) into the curvature formula, we can get k = [(R ~ 2) / (Y ~ 3)] / {[(R ~ 2) / (Y ~ 2))] ~ (3 / 2)} = 1 / R

The volume of a cylindrical bucket is 24 cubic decimeters, the bottom area is 6 square decimeters, the bucket is full of water, how many decimeters is the height of the water surface?

24 △ 6 = 4 (decimeter), a: the water surface is 4 decimeters high

If the front view and the left view of a geometry are squares with two sides and the top view is a circle, what is the surface area of the geometry

Surface area of a cylinder=
The circumference of the cylinder multiplied by the height of the cylinder plus the area of the two bottom surfaces
2*π*2+1*1*π
That's 5 π

Find the area of the figure bounded by X axis and sine curve y = SiNx on [0,2 π]

According to the geometric meaning of definite integral, the area of plane figure enclosed by sine curve and straight line x = 0, straight line x = 2 π and X axis is s = 2 ∫ π 0sinxdx = - 2cosx | π 0 = 4, so the answer is: 4

How many cubic meters is a ton of gravel equal to
Architectural knowledge

The density of stone is 2.5 tons per cubic meter
So a ton of stone is about 0.4 cubic meters, that is 0.4 cubic meters

Given a = 2x + y, B = 2x-y, calculate A2-B2

A2-B2=（2x+y）2-（2x-y）2=（4x2+4xy+y2）-（4x2-4xy+y2）=4x2+4xy+y2-4x2+4xy-y2=8xy．

The third power of root - A - the second power of root - a minus one a

From the title we can see a