Answers created by Ultrilliam

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• Show that the equation M(x,y)dx+N(x,y)dy = 0 has an integrating factor which is a function of ratio of x and y.?
  
• What is the difference between t = 0 and t = 1 seconds?
  
• Find the integrating factor in the form #x^n y^m# and then solve? #(2x^(-1) +x^(-2)y^(-1)-3y)dx+(3y^(-1)-4x+2x^(-1)y^(-2))dy=0#
  
• Two strings stretched by 5 cm and 10 cm respectively Ven masses 0.5 kg and 1kg are suspended at the lower abs when display slightly from the mean position and least they will oscillate with time period in the ratio?
  
• Verify whether y^2 is an IF of dx/y+2x/y^2.dy=0?
  
• What will be the anser?
  
• Is it acceptable to think of the whole EM spectrum as simply being light in different forms? From harmless(radio wave) to visible(visible light) to harmful(#gamma #- ray)
  
• Here is my second question on the complex numbers assignment. How do I prove the following below?
  
• The acceleration between time t and distance x is t=ax^2+bx where a and b areconstants.the acceleration is?
  
• A particle is projected at a definite angle #alpha# to the horizontal passes through the points #(a,b)# and #(b,a)#, referred to horizontal and vertical axes through the point of projection?
  
• Check dimensional consistency of the equation:- F S=1/2mv^2-1/2mu^2?
  
• Light and heavy objects have equal kinetic energy.which one has greater momentum?
  
• How do you find the limit of #((1/(x+3))-(1/3))/x# as x approaches 0?
  
• If a projectile is projected with kinetic energy.having maximum possible horizontal range.then what will be it's kinetic energy at highest point?
  
• Solid formed after revolving the area between #y = x^2# and #y = x+2# around #y# axis?
  
• A photon of wavelength 100mm acts as a mass of? My text book gives the answer 2.21×10^-41. but a photon can't have mass because when an object travels with speed of light it's mass becomes infinite.
  
• Find possible answers to the following differential equation #ddotx+κx=0#?
  
• In the given figure initially spring is in its natural length and system is released from rest. Finally block again comes to rest at mean position due to air resistance. Find the total work done by?
  
• How do I prove that this integral from a to b is equivalent to the second statement?
  
• The position vector of a particle is given by r=3t2i+4t2j+7k find the displacement after 10 second?
  
• If #(dx)/(dt) = "8 min"^(-1)# and #y = 1/x#, then what is #(dy)/(dt)# at #x = 2#?
  
• How to Draw the R region of integration and change the order of integration (do NOT evaluate the integral)?
  
• What is the highest height a hill could be if the roller coaster is to go over the top of it?
  
• Consider a mobile moving along this path that starts at the point #(0,0)#. What are the coordinates of the point of arrival of the mobile ? (See image below)
  
• Over a certain region of space, the electric potential is v=5x− 3x^2y+ 2yz . . Find the expressions for the x, y, and z components of the electric field over this region. What is the magnitude of the field at the point P that has coordinates (1, 0, -2) m?
  
• How do you find the area of the surface generated by rotating the curve about the y-axis #x=t^2, y=1/3t^3, 0<=t<=3#?
  
• kindly solve this question?
  
• Intrinsic equation / curvature question...?
  
• One of the strings of a guitar has a fundamental frequency of 440 Hz and another has a fundamental frequency of 660 Hz. Which of the following set of frequencies could be produced on both of these strings?
  
• A 3kg block is attached to an ideal spring with a force constant k=200N/m. The block is given an initial velocity in the positive direction of magnitude u=12m/s and no initial displacement(x.=0). (a) find the amplitude?
  
• Electromagnetic Induction?
  
• Find the value of the line integral F · dr C (Hint: If F is conservative, the integration may be easier on an alternative path.) (x2 + y2)dx + 2xy dy?
  
• How to calculate #f(x,y,z)=x^3sqrty+4z^3y^2-xyz+x^2 - 3sqrt(z^5)# by first order of partial derivative?
  
• Match the vector field with its graph. F(x,y) = yi? I tried drawing my own graph and got something other than the answer choices
  
• How do you find the minimum and maximum value of #y=-(x-1)(x+4)#?
  
• W = xy2 + x2z + yz2, x = t2, y = 9t, z = 9 (a) Find dw/dt using the appropriate Chain Rule?
  
• How do you calculate #log_2(0.5)#?
  
• If (1+i)(2+i)(3+i)....(n+i)=a+ib then show that 2.5.10....(n^2+1)=a^2+b^2 ?
  
• Find the value of the line integral. F · dr (Hint: If F is conservative, the integration may be easier on an alternative path.) (2x − 8y + 6) dx − (8x + y − 6) dy?
  
• The electric potential is V= 5x − 3x^2y+2yz. Find the expressions for the x, y, and z components of the electric field over this region. What is the magnitude of the field at the point P that has coordinates (1, 0, -2) m?
  
• If x+y=2pi/4, find maximum and minimum of sinx+siny?
  
• Find the value of the line integral. F · dr C (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, y) = yi − xj?
  
• How is the number of electric field lines emerging out of a conductor equal to flux?
  
• Find the value of the line integral.F · dr (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x,y) = ye^xyi + xe^xyj (a) r1(t) = ti − (t − 8)j, 0 ≤ t ≤ 8 ?
  
• How do you use Power Series to solve the differential equation #y''+2xy'+y=0# ?
  
• How do you find the derivative of #G(x)=int (tan(t^2))dt# from #[1,x^2]#?
  
• What is the result of lim x → ∞ (-x-1)/((x-1)(x-Sqrt(x^2+x+1)) ?
  
• How do you find the volume V of the described solid S where the base of S is a circular disk with radius 4r and Parallel cross-sections perpendicular to the base are squares?
  
• Rope of length 80m and mass M is connecting two rods 50 meters high. The minimum distance of the curve from the ground is 10 meters. How far are the two rods apart?
  
• What is the Fourierseries of the following equation?
  
• How do you Evaluate the integral by changing to cylindrical coordinates?
  
• Find the parameterization of the surface area given by #z = x^2 - 2x + y^2#?
  
• Why do chemistry texts write the first law of thermodynamics as ΔU=Q+W?
  
• Consider two insulated chambers (A,B) of same volume connected by a closed knob, S. One mole of perfect gas is confined in chamber A. What is the change in entropy of gas when knob S is opened? ( R= 8.31 )
  
• In an RC circuit the value of R is double the value of #X_c#, the phase angle is then a) 30 degrees b) 45 degrees c)60 degrees?
  
• What is first law of thermodynamics?
  
• Question in the image below ?
  
• How do you calculate the derivative of #intsqrt((x^3-2x+6) )dx# from #[x^2,-2]#?
  
• Show that #1+1/sqrt2+cdots+ 1/sqrtn >=sqrt2(n-1)#, for #n >1#?
  
• #lim_(n->oo)prod_(k=2)^n(1-1/k^2)#?
  
• How do you find the area of the region bounded by the spiral #r=7theta# for #0<=theta<=pi#?
  
• Calculate the centroid of region "R"?
  
• What is diffraction a result of?
  
• Help with the next complex variable limit?
  
• If A and B are two matrices such that AB=A+B then det (A-I3)=?
  
• How do you evaluate the limit #(1-4x^3)/(x^2+2x+1)# as x approaches #oo#?
  
• Please explain why part (c) of this question is False?
  
• FInd numeric value of #int_1^esqrt(lnx)dx-int_0^1e^(x^2)dx#?
  
• A wire of length 18 m is used to form a circle and a square. Find the radius of the circle and the side length of the square that produce a minimum total area?
  
• D (log sin cos tan e^cosx)/dx ?
  
• Determine if F is a linear transformación f(x,y,z)=(x,x+y+z) ?
  
• How do you find the inverse of #y=log_6 x#?
  
• How do you find the derivative of f(x) = -2sqrt(x) by the limit process?
  
• What is the half-life of (Na^24) if a research assistant made 160 mg of radioactive sodium (Na^24) and found that there was only 20 mg left 45 h later?
  
• How many bacteria will be present after 5 hours if a culture of bacteria obeys the law of uninhibited growth where if 500 bacteria are present in the culture initially and there are 800 after 1 hour?
  
• What is the derivative of #Tan^-1 (y/x)#?
  
• A ladder 5m long is standing vertically, flat against a vertical wall, while its lower end in on the horizontal floor. ... Find the speed at which the upper end is moving down the wall 4 seconds after the lower end has left the wall ?
  
• How do you find the equations for the tangent plane to the surface #f(x,y)=2-2/3x-y# through (3,-1,1)?
  
• Xd^2y/dx^2-4xdy/dx+4xy=5xe^(3x)+4xe^(2x)??
  
• A point moves in #x-y# plane according to #vec r=3cos(4t)veci +3(1-sin4t) vecj#. What is the distance travelled by the particle in 0.5 sec ?
  
• Let there be the function #f(alpha)= (L( v_a - v_0 sin alpha))/(v_0 cos alpha)# Where #L# ,#v_a# and #v_o# are constants. Determine #alpha# such that #f(alpha)# is minimal ?
  
• Form a differential equation by eliminating the arbitrary constant a from the equation. y = a sin(2x + 3).??
  
• Solve: dy/dx+ y = xy^3 .??
  
• Graph the parametric equation x(t)=3t and y(t)=2-2t on [0,1] ?
  
• Suppose the temperature of a body when discovered is 85°F.Two hours laters, the temperature is 74°F and room temperature is 68°F.Find the time when the body was discovered after death(assume the body temperature to be 98.6°F at time of death.)?
  
• While driving, one of the tyres of a car hits a nail which causes a change of pressure P(kPa) by 10% every 1 hour. The pressure of the car tyre changes following the relation of #P=Poe^(-0.105t)# ?
  
• Find the differential equations of the space curve in which the two families of surfaces #u=x^2-y^2=c_1# and #v=y^2-z^2=c_2# intersect?
  
• If d^(2)x/dt^(2)+g/b(x-a)=0,(a,b,g being positive constants) and x=a' and dx/dt=0 when t=0,show that x=a+(a'-a)cos{√(g)/(b)t}?
  
• Identify the following differential equations and hence solve it y=xy'+1-ln y'?
  
• What is vertical circular motion?
  
• Find the differential equation of the family of curves #color(white)(.)x^2+y^2+2ax+2by+c=0#,where #a,b,c# are parameters?
  
• Find a continuous solution of the IVP dy/dt+y=g(t),y(0)=0 where g(t)=[2,0≤t≤1 0,t>1.?
  
• How do you evaluate #\frac { 2} { 7} + ( - \frac { 1} { 2} )#?
  
• A certain population is known to be growing at a rate given by the logistic equation dx/dt=x(b-ax) Show that the minimum rate of growth will occur when occur when the population is equal to half the equilibrium size,that is,when the population is b/2a?
  
• Solve dy/dx+y/x=y² by bernollies equation ?
  
• Desperately need help in work, energy and power question?
  
• A bag contains 12 sweets, of which 5 are red, 4 are green and 3 are yellow. 3 sweets are chosen without replacement. What is the probability that he chooses no red sweets?
  
• How can the angle between A×B and B×A be 180 degrees?
  
• The cost of fuel is running an engine is proportional to the square of the speed in km/h is ₹48 per hour when the speed is 16 kn/h.Other costs amount to ₹300 per hour.Find the most economical speed?
  
• A singly ionized 'He' ion and 'H' ion are accelerated from rest through a potential difference 'V' to velocities 'U(He)' and 'U(H)' respectively. What is the ratio of 'U(He)/U(H)'?
  
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