Answers created by Narad T.

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• Vector A has a magnitude of 17 units, vector B has a magnitude of 9.2 units, and A * B has a value of 14.0. What is the angle between the directions of Vector A and B ?
  
• What is the cross product of #[4, -4, 4]# and #[-6, 5, 1] #?
  
• What is the angle between #<9,-5,1 > # and #< -7,4,2 >#?
  
• #e^x#+#lnx#+#2x#=#3# Find all possible values of x.?
  
• How do I write #(5/(1*2))+(5/(2*3))+(5/(3*4))+...+(5/n(n+1))+...#in summation notation, and how can I tell if the series converges?
  
• How do you use the important points to sketch the graph of #y=2x^2+2#?
  
• A cylinder has inner and outer radii of #9 cm# and #11 cm#, respectively, and a mass of #5 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #5 Hz# to #7 Hz#, by how much does its angular momentum change?
  
• A ball with a mass of #8 kg# moving at #3 m/s# hits a still ball with a mass of #15 kg#. If the first ball stops moving, how fast is the second ball moving?
  
• How do you solve #1/3 |1/2x-2| >= 2#?
  
• How do you solve #(3x)/(x^2+3x)>=1# ?
  
• How do you solve #3y^2 - 7y + 4 = 0# using the quadratic formula?
  
• Two opposite sides of a parallelogram each have a length of #5 #. If one corner of the parallelogram has an angle of #pi/4 # and the parallelogram's area is #15 #, how long are the other two sides?
  
• 2kg disc of radius 1m moment of inertia 0.5kgm^2 is released from top of 2m long incline having inclination 30degree. Find it’s velocity just before reaching the ground .??
  
• How do you solve the following system: #2x-4y=6 , 3x - 3y = 2 #?
  
• A body start from rest and with a uniform acceleration of 10m/s^2 for 5 second. during the next 10 second its moves with uniform velocity. the total distance travelled by the body its?
  
• How do you write the partial fraction decomposition of the rational expression # (4x-1 )/( x^2+3x-4)#?
  
• Find the possible values of #x# in #(|x+3|+x)/(x+2)>1#?
  
• The product of #(1-1/(2^2))*(1-1/(3^2))....(1-1/(9^2))*(1-1/(10^2))=a/b# then find a and b without full simplification?
  
• For what values of x is #f(x)=x^3e^x# concave or convex?
  
• How do you solve the system #x+y+z=1#, #2x-y+2z=-1#, and #-x-3y+z=1#?
  
• Solve for x on #[0,2pi)# : #(x-pi)/cos^2x < 0 # ?
  
• How do you solve #(x-1)(3x-4)>=0#?
  
• How do you graph #x^2+y^2-2x-4y-4=0#?
  
• How do you integrate #int (1-x^2)/((x+1)(x-6)(x-3)) # using partial fractions?
  
• An airplane takes 7 hours to travel a distance of 4707km against the wind. The return trip takes 6 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
  
• How do you solve the system of equations #2x^4+y^2=10# and #x^2+2y^4=10#?
  
• How do you find the domain and range of #g(x) = -11/(4 + x)#?
  
• How do you solve #abs(5 / (2x-1))>= abs(1 / (x - 2))#?
  
• An object with a mass of #6 kg# is hanging from an axle with a radius of #7 m#. If the wheel attached to the axle has a radius of #21 m#, how much force must be applied to the wheel to keep the object from falling?
  
• Two convex lenses of focal length 0. 2m and 0. 05 m are used to make a telescope the distance kept between them is equal to?
  
• How do you find the slant asymptote of # (2x^3+2x)/(x^2-1) #?
  
• How do you graph and solve #|4x – 3|+ 2 <11#?
  
• The speed of light in certain transparent is two fifth of its speed in air the index of refraction is?
  
• Can you find the general solution to the following equation?
  
• Consider equation ax^2+bx+c=0 whose roots are x and y.Then find quadratic equation whose roots are x/y and y/x?
  
• How do you write a standard form equation for the hyperbola with #y^2 - 4y - 4x^2 + 8x = 4#?
  
• How do you convert #2=(8x+y)^2+2y# into polar form?
  
• How do you find the domain and range of #f(x)=(12x)/(x^2-36)#?
  
• How do you simplify the expression #1+tan^2theta#?
  
• What is the frequency of #f(theta)= sin 18 t - cos 9 t #?
  
• How do you integrate #int -x^2/sqrt(144+x^2)dx# using trigonometric substitution?
  
• How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #y=2x^2+x-21#?
  
• How do you find the trigonometric form of #-7+7i#?
  
• If a spring has a constant of #12 (kg)/s^2#, how much work will it take to extend the spring by #77 cm #?
  
• The acceleration of a motorcycle is given by...?
  
• An earthquake produces a seismic wave that has a wavelength of 650 m and a frequency of 10 Hz. How fast does the wave travel?
  
• How do you divide #(x^4-x^3+ 3 x^2-4x-2)/(x+2) #?
  
• What is the domain and range of # f(x) = (x+3) /( x^2 + 8x + 15)#?
  
• The acceleration of a bus is given by a-at, where a= 1.5 m/s^2...?
  
• How do you find the period and amplitude of #y=1/4sin(2pix)#?
  
• How do you graph #y=5(3^x)+1#? What is the #y#-intercept and the domain and range?
  
• Ca(OH)2 + H3PO4 = CaHPO4 + 2H2O From This Chemical Equitation Calculate The Equivalent Weight Of H3PO4 ?? Answer The Question With Explanation !
  
• How do you divide #(x^3 - 2x^2 - 3)/(x^2-x+1)#?
  
• How do you graph, find the intercepts and state the domain and range of #f(x)=4^x+3#?
  
• What is the value of #int_-1^(+1) 1/x dx# ?
  
• Prove that #tanh^-1((x^2-1)/(x^2+1))=lnx# ?
  
• We have points A(1,-1);B(0,3);C(5,0).Geometric place of points #M(x,y)# for which #2MA^2+MB^2-3MC^2=0# it is: a)right of equation #13x-y-31=0# b)right of equation #y=0# c)right of equation #13x-y-30=0# d)circle of equation #x^2+y^2-3x+2y-16=o#?
  
• How do you find the integral of #tanˉ¹(2x) dx#?
  
• How do you find the period and frequency of a sine function?
  
• Test for convergence #2/(2*3) +2/(3*4) +2/(4*5) +2/(5*6) + ...# ?
  
• Write a balanced oxidation reduction equation in acidic solution for: #C_2O_4^(2-)+Cr_2O_7^(2-)\toCO_2+Cr^(3+)#?
  
• Show by using matrix method that a reflection about the line #y=x# followed by rotation about origin through 90° +ve is equivalent to reflection about y-axis.?
  
• How do you use the definition of the scalar product, find the angles between the following pairs of vectors: - 4i + 5 j- k and 3i + 4j - k?
  
• Find derivation of #tanh^-1x#, hence differentiate #y= tanh^-1 ((2x)/(1+x^2))# ?
  
• How do you find the maclaurin series expansion of #f(x) =ln(1 + x) #?
  
• How do you find the maximum and minimum values of the function #f(x)= x - ((64x)/(x+4))# on the interval [0,13]?
  
• How do I convert this to rectangular form? r=5cot θ csc θ
  
• How do you convert complex numbers from standard form to polar form and vice versa?
  
• If #A = <7 ,-3 ,5 >#, #B = <4 ,-7 ,-5 ># and #C=A-B#, what is the angle between A and C?
  
• How do you prove #tanx tan(1/2)x = sec x- 1#?
  
• How do I evaluate #intsec^2(x) tan^2(x) dx#?
  
• How do you integrate #x/(x+1)^3#?
  
• How do you transform #f(x)=sqrt (x)# into # g(x)=4*sqrt(3(x-1))+8# ?
  
• A charge of #5 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #22 J# to #19 J#, what is the voltage between points A and B?
  
• What is y=3sinx+4cosx in arccos?
  
• The gas inside of a container exerts #5 Pa# of pressure and is at a temperature of #180 ^o K#. If the pressure in the container changes to #32 Pa# with no change in the container's volume, what is the new temperature of the gas?
  
• How do you find the domain and range of #f(x)=2/(x-1)#?
  
• Is #f(x)= 4sin(4x-(3pi)/8) # increasing or decreasing at #x=pi/12 #?
  
• What is the equivalent resistance of a circuit that contains three 10.0 resistors connected in parallel with a 6.0 V battery?
  
• How do you integrate #∫(x^3ex^2)/(x^2 +1)^2dx#?
  
• A conical water tank with its vertex at bottom has radius 20m and depth 20m.Water is being pumped into the tank at rate 40m^3/min.how fast is the level of the water rising when water is 8m deep? ( v=(pi x r² x h)/3 )
  
• How do you use synthetic division to show that x=1/2 is a zero of #2x^3-15x^2+27x-10=0#?
  
• Show using complex numbers that 8sin^4x = cos4x - 4cosx + 3?
  
• Find the length of the chord made by the line x+y=4 on the circle x^2+y^2=25?
  
• Let #f(x) = 1 /(x+3)# and #g(x) = -2 /x#, how do you find each of the compositions?
  
• What are the largest open interval on which f is increasing and the largest open interval on which f is decreasing?
  
• Vertex at (5,2) Foci (-4,2) and (4,2). What is the equation of the ellipse?
  
• Equation is 4x²+8y²+8x-4y=8. what is the vertices,co-vertices,foci?
  
• An AR series has an EMF ESinCot where E is a constant. The current i satisfies at time t, L#di/dt#+Ri=ESinCot obtain the current at time t if initially, it is zero?
  
• A car from stationary position accelerates uniformly over a time of 5.75 seconds and takes a distance of 34m. Determine the acceleration of the car. ??
  
• Robert is playing with his ballon top of a building, but the ball accidentally fell and hit the ground after 8.7 seconds. Determine the final velocity of the ball just before it hits the ground, determine the height of the building. ??
  
• How do you use synthetic division to divide #( 2x^3 + 3x^2 + 4 ) / ( 2x + 1 )#?
  
• How do you use synthetic division to divide #(12x^4 + 20x^3 - 24x^2 + 20x + 35) # by #3x+5#?
  
• How do you divide #(x^3-9x^2+27x-28)div(x-3)# using synthetic division?
  
• How do you solve using gaussian elimination or gauss-jordan elimination, #x+y+z=1#, #x+y-2z=3#, #x+2y+z=2#?
  
• How do you long divide #(x^3)/(x^2+2x+1)#?
  
• How do you find the sum of the infinite geometric series 27+9+3+1+...?
  
• The equation is 4x²+8y²+8x-4=8. How to find its vertices, co-vertices and it's Foci?
  
• How do you write #f(x)= abs(x+4) - abs(x-3) + 2# into piecewise functions?
  
• Find the equation of the ellipse with the given properties center (4,1) vertex (4,4) focus (4,3) What is the equation of the ellipse?
  
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