It is known that the Quasilinear of parabola y ^ 2 = 4x intersects with hyperbola x ^ 2 / A ^ 2-y ^ 2 / b ^ 2 = 1 at two points AB, and point F is the focus of parabola if △ fab is a right triangle, Find the elliptic equation with F as the vertex and hyperbola as the replacement

It is known that the Quasilinear of parabola y ^ 2 = 4x intersects with hyperbola x ^ 2 / A ^ 2-y ^ 2 / b ^ 2 = 1 at two points AB, and point F is the focus of parabola if △ fab is a right triangle, Find the elliptic equation with F as the vertex and hyperbola as the replacement

What is the weight of a cylinder with a diameter of one centimeter, a height of 20 centimeters and a density of 21.45

Radius r = 0.5cm
Bottom area s = 3.14 * r * r = 0.785
Volume v = s * H = 15.708
Weight M = V * ρ = 15.708 * 21.45 = 336.94

Grade 3: two step division application problem, two-step multiplication application problem, multiplication subtraction addition two-step calculation, division subtraction addition two-step calculation

Hehe, two-step division application problem: two-step multiplication application problem~~

(x ^ 2) * LNX primitive function

Using the method of integration by parts,
Let f (x) = (x ^ 2) * LNX, ('denote indefinite integral sign ')
『f（x）dx=1/3*[(x^3)*lnx+『(x^3)*d（lnx)]=1/3*[(x^3)*lnx+『x^2dx]
=1/3*[(x^3)*lnx+1/3x^3+C

How many cubic meters is one oxygen bottle

A 40 liter oxygen cylinder can hold about 32 cubic meters of oxygen at a standard atmospheric pressure. In reality, it is impossible to release all the oxygen in the cylinder. There must be a certain pressure inside, which can release about 25-28 cubic meters

If for any nonzero rational number a, B defines the operation x as follows: AXB = ba-1, then (- 4) x3x (- 2) =___ ．

According to the meaning: (- 4) X3 = 3-4-1 = - 74, then calculate (- 74) x (- 2) = - 2 - & nbsp; 74-1 = - 2 × (- 47) - 1 = 87-1 = 17

Calculation formula of sphere area
What is the surface area of a hemisphere 6 meters in diameter and 4.5 meters in height?

V = 4 / 3 π R ^ 3 and divide by 2 to calculate by yourself! You have a calculator on your computer!

Polaris is 320 light-years away from the earth. One light-year = 9.46 times 10 to the 12th power. If we call Polaris now, how long will it take to get a call?

Light year is the length that light travels in a year, and the speed of radio wave and light wave is the same, so it takes 320 years to call Polaris. If the feedback comes back, it will take 320 years

More than 1500 years ago, Zu Chongzhi, a famous mathematician in China, used mathematical methods to calculate the value of PI between 3.1415926 and 3.1415927, more than 1000 years earlier than Westerners. What mathematical methods did Zu Chongzhi use to calculate such an accurate result? There is no record in history
Try to answer
(1) Measuring tools
2 methods of measurement

First draw a circle with the quasi compass tool, and then circle it with a line. Then measure the length of the outgoing line with a ruler to get the circumference of the circle. Then measure the distance between the two corners of the quasi compass tool to get the radius of the circle. Then solve the problem through many experiments and get the conclusion that 'the mobile phone can't type that symbol, I'm sorry to replace it with a word'. This is what the ancient people found!

Find the surface integral ∫ ∫ (x ^ 2 * y ^ 2 * z) DXDY of a pair of coordinates, where s is the lower side of the lower part of the spherical surface x ^ 2 + y ^ 2 + Z ^ 2 = R ^ 2

Direct calculation with formula: note that it is the lower side of the sphere, so z = - √ R ^ 2-x ^ 2-y ^ 2, when transforming into double integral, take the negative sign s, and the projection on xoy plane is DXY: x ^ 2 + y ^ 2 ≤ R ^ 2, then the original formula is transformed into double integral = - ∫ (DXY) [x ^ 2 * y ^ 2 * (- √ R ^ 2-x ^ 2-y ^ 2)] DXDY = ∫ (DXY) [x ^ 2 * y ^ 2 * √