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if (a+(1/a))=15 find the value of (a^2 +(1/a^2 )) |
show that 1+(√(2 ))+2+..........+32(√(2 )) is 63(√2) +63 |
Can some please explain is there any use of imaginary numbers in real life? I have heard that this number has been used in many different fields. Why use a number which is not real. |
can someone please tell me the difference b/w (=) and (::=) I searched up and showed it was related to assertion,definition,propert def....i don′t know. please help |
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∫_0 ^∞ (x^2 /(sinh(x)^2 ))dx. |
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does anyone know if charpit′s method for solving PDE can be used to solve second order pde? Also is it possible to reduce second order PDE to first order? |
A uniform stick AB of length L and mass M is balanced horizontally on a knife edge 10.0cm from A when an object of mass 400g is suspended at A. When the knife edge is moved 5cm further, the object has to be moved to a point 9.00cm from A for the stick to balance. Represent the balance system with a suitable diagram, determine the mass and Length of the stick |
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MATH−WHIZZKID using kamke find the genral solution for the differential equation 1. x^2 y′′+x^2 y′−2y=0 −−−−−−−−− solve this using forbenius mtd 1.x^2 y′′+(x^3 −3x)y′+(4−2x)y=0 −−−−−−−− solve the differential eqn by power series 1. y′′−2xy′+2py=0 −−−−−−−−− use perseval′s theorem to ∫_0 ^∞ ((cos^2 (𝛂(𝛑/2)))/((1−𝛂^2 )^2 ))dx. −−−−−−−−−− evaluate this integral by contour integration 1. ∫_0 ^∞ ((cos^2 (𝛂(𝛑/2)))/((1−𝛂^2 )^2 ))dx. −−−−−−−−− ∮_c ((1+e^(i𝛑z) )/((z−1)^2 (z+1)^2 ))dz c−upper half plane klipto−quanta⊎ |
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Let u_n be a set satisfying u_1 =1 & u_(n+1) =u_n +((ln n)/u_n ) , ∀ n ≥1 1. Prove that u_(2023) >(√(2023.ln 2023)). 2. Find: lim_(n→∞) ((u_n .ln n)/n). |
A body is projected vertically upwards with a speed of 20m/s. Find the time in seconds when the body is 15m above it point of projection. g= 10m/s² |
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A pin 6cm high is placed in front of a diverging lens of focal length 15cm, Calculate the position of the image formed |
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