Answers created by Cesareo R.

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• Find the value of #n# for which the equation #(n-1)^(2)u_{x x}-y^(2n)u _{yy}=ny^(2n-1)u_y# is parabolic or hyperbolic?
  
• Find the general integral of the equation (x-y)p+(y-x-z)q=z and particular solution through the circle z=1,x^2+y^2=1.?
  
• Solve the following differential equations: #2x^(2)y (d^(2)y)/(dx^(2))+4y^(2)=x^(2)(dy/dx)^(2)+2xy(dy/dx)#?
  
• Do the functions #y_1(t)=√t # and #y_2(t)=1/t# form a fundamental set of solutions of the equation #2t^(2)y''+3ty'-y=0#,on interval #0<t<∞# ? Justify your answer.
  
• Given that #f(x)=x-1# and #(g\circ f)(x)=3x^2 + 2#, find the function of #g# in similar form? Thank you
  
• Compute #i+i^2+i^3+\cdots+i^{258}+i^{259}#. ?
  
• If #2costheta=x+1/x# then prove that the value of the #x^n+1/(x^n), ninN# is #2cosntheta#?
  
• How can i solve the series #\sum_{n=0}^{\infty} \frac{n^3}{(n+1)!} # ?
  
• Limit problem ?
  
• How to solve the simultaneous equations ∣z + 1∣ = ∣z − 1∣, ∣z + 2∣ = ∣z − 3∣?
  
• Can you plz help me in solving this question?
  
• How to solve this question?
  
• Need help with Lagrange multiplier question?
  
• #y=3+x+e^x# ....find the inverse of y?
  
• Please help?
  
• How do you convert from explicit to recursive? Here is the explicit formula that I have: an= 3+10n. Thank you
  
• What is the solution to the differential equation dy/dx= x-y^2 ?
  
• Solve the following differential equations: (i)#(2x+y+3)dy/dx=x+2y+1# and (ii)#[x^(2)+1]dy/dx+2xy=4x^(2)#.?
  
• Solve #y'+ty=t^3y^3#?
  
• Solve it please. "?"
  
• How you solve this? #x^2y'+x^2y^2-3xy+3=0# with solution #y_1=3/x#
  
• How do I find the sum of a Taylor series #sum_(n=0)^oo((-1)^n(x-2)^n)/(2^(n+1))#?
  
• If #{sqrt(3)+sqrt(2)}^x + {sqrt(3)-sqrt(2)}^x =10# then find the value of #x# ?
  
• Identify an axis of revolution and generating conic of the surface #4x^2+25y^2+4z^2=100#. does this conic also generate #x^2/25+y^2/4+z^2/25=1#?
  
• What is the equation of those tangent planes to the sphere #x^2+y^2+z^2+2x-4y+6z-7=0# which intersect the line #6x-3y-23=0#, #3z+2=0#?
  
• What is the range of the function #y=sqrt(1-cosxsqrt(1-cosx(sqrt(1-cosx ......oo# ?
  
• Kindly solve this? which option is correct?
  
• Sin(x+y)= 1, cos (x-y)= #sqrt((3/"2")# find value of x and y?
  
• What is the maximum value of #Q(p,q,r)=2pq+2pr+2qr# subject to #p+q+r=1#?
  
• What is the general solution of the differential equation #dy/dx = (x+2y-3)/(2x+y-3)#?
  
• What is the length PC? How did you solve this?
  
• Laplace Transforms y'+5.2y=19.4sin(2t) By:y(0)=0 y=?
  
• What is the general equation of #dy/dx =e^(x+y)#?
  
• What is/are the maximum number of possible real roots of the equation? a) 3 b) 4 c) 5 d) 0
  
• A 5.0 kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 3.0 m/s, what is the force exerted by the rope on the bucket of water?
  
• How do you solve #3^x= 3x+5#?
  
• How do you integrate #int 1 / (sqrt(x+1) - sqrt(x)) #?
  
• Help please?
  
• How to find these type of question easily, without using L-hopitals rule?
  
• How to do 69th question?
  
• If the roots of equation #x^2 + qx + p=0# are each 1 less than the roots of the equation #x^2 + px + q = 0# then #(p+q)# is equal to?
  
• Find the limit?
  
• Could someone help me evaluate this another limit?
  
• Can you help with velocity of a boat please.?
  
• Immediate. Immediate. Please help with limit problem?
  
• Mechanics question help ?
  
• Lim. f(x)=(x^2-x)/(2x^2 +5x-7) x → 1 Someone can help me ?
  
• How do you find an equation for this function that is not recursive?
  
• How to do 187th question?
  
• How to do 189th question?
  
• Mechanics particle and tension help please?
  
• What length would the object have to slide along the ramp? (question 2)
  
• Solving this electronic problem with impedance ?
  
• How did he solve this integral?
  
• Arc Length Problem?
  
• Calculus Integration Help?!
  
• If |z-4|<|z-2| then find its solution ?
  
• How can we calculate? (1-x) + (1-x)^2 + (1-x)^3 + (1-x)^4 + (1-x)^5.... + (1-x)^n
  
• Can anyone help me with this vector question?
  
• Limit (n~■)[2n!÷n!n^n]^(1÷n) here■is infinitive?
  
• A solid sphere is rotating about an axis passing through its center of mass with angular velocity #omega#. The sphere itself is in a circular motion about the axis PQ with an angular velocity #omega'#. Calculate its moment of inertia about PQ?
  
• Find the limit?
  
• When will the slope field for differential equation (2x)/(4y-xy) have vertical segments?
  
• How do you plot the slope field for the differential equation dy/dx=xy?
  
• #\int_0^\inftye^(-ax)\cos(bx)dx#?
  
• Can anyone explain me clearly about the energy and it's changes in Simple Pendulum? Plz!
  
• How to compare the relative change in momentum of two blocks attached by a pulley?
  
• #f=(x-2014)^2014+3x+12# The remainder for #f:(x-1)# is?
  
• Answer Part (b)?
  
• If P : x+ay-3z+3=0 and Q : x+2y-bz+c=0 are two parallel planes such that sum of intercepts made by Q on the axes is 14 then value of (a + b + c) will be=?
  
• I really need help. It's about number theory. Would yo be so kind help me?
  
• For the sequence defined by #a_"1"=2, a_"n+1"=1/(3-a_"n")#, how to show that it is bounded below by 0?
  
• How will you solve:#(dy)/(dx)=e^(x-y)[e^x-e^y]#?
  
• How do you solve #abs(5x+2)>=abs(3x-4)#?
  
• A)Detemine the horizontal force (F) required to move the plate across the factory floor.? b) Determine the mass of the plate?
  
• How do you solve the inequality #-4 < 2 + x <1#?
  
• If #|z| = Max{|z-2|,|z+2|}#, then?
  
• Solve: Lim #x->1# #(sqrt(x)-sqrt(2-x^2))/(2x-sqrt(2+2x^2)# ?
  
• How to solve this inverse function?
  
• X+y=50 which x and y are two positive numbers (a)for which numbers x is the product of the two numbers an increasing function of x (b)what is the maximum value of their product?
  
• A simply supported beam in figure 2 is subject to two concentrated loads.Find support reactions Ra and Rb.?
  
• Can anyone help me with this limit problem?
  
• Find the general solution ?
  
• The pulley shown in the figure has a moment of inertia I about its axis and mass m. Find the time period of vertical oscillation of its center of mass. The spring has spring constant K and the string does not slip on the pulley?
  
• Please Help?
  
• A simple pendulum having a bob of mass m undergoes small oscillations with amplitude #theta_0#. Find the tension in the string as a function of the angle made by the string with the vertical?
  
• Can I get some help solving this problem? Thanks!
  
• Find the values?
  
• I need help in a simple Vectors question?
  
• 3 particles start from origin with velocity #u_1,u_2 and u_3#.They are moving with constant velocities.Find the relation between #u_1,u_2 and u_3# so that all 3 particles lie on the same plane?
  
• Is the sequence divergent or convergent?
  
• Does the series # sum_{n=1}^oo (5n)^(3n)/(5^n+3)^n# converge or diverge?
  
• A uniform slender rod of mass m and length L is released from rest, with its lower end touching a frictionless floor. At the initial moment, the rod is inclined at an angle #theta = 30^0# with the vertical?
  
• How to prove this? Let z = a + ib be a complex number. Show that a square root of z is given by the expression #w=sqrt((|z|+a)/2)+iσ*sqrt((|z|-a)/2)# where σ = 1 if b ≥ 0 and σ = −1 if b < 0. Do this by verifying that #w^2=z# ?
  
• If #f(x)=x+1# and #(f@g)(x)=x^2+3x+2#, which of the following is g(x)?
  
• How to solve : x=ln x ?
  
• How i can factor #8*(a^(6n))+27*(b^(3m))# ?
  
• If S be the sum,P be the product and R the sum of reciprocals of n terms in a G.P,prove that #P^2=(frac{S}R)^n#?
  
• How do i find the limit and the convergence area for #sum(x/(1-x))^n# for #x in RR // {1}# ?
  
• |x^2 - 2| < 1 Please can anyone help? How to solve this absolute value problem?
  
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