Answers edited by Shiva Prakash M V

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• Express #4x^2+32x+55# in the form #(ax+b)^2+c#, where a, b and c are constants and a is positive?
  
• How do you simplify #sqrt(8/36)#?
  
• How do you solve f(x)=a(2^kx) with f(0)=10 and f(3)=640. Find f(2).?
  
• Points #(5 ,4 )# and #(2 ,2 )# are #(5 pi)/4 # radians apart on a circle. What is the shortest arc length between the points?
  
• Prove that (a) #sin(x-(3pi)/2)=cosx# and (b) #sin(theta-pi/3)+cos(theta-pi/6)=sintheta#?
  
• How do you find the integral of #int 1/(1 + tan(x))#?
  
• Question #48767
  
• A force of 3kgf is just sufficient to pull a block of 5kgf .Find the coefficient of friction and angle of Friction?
  
• If your starting salary were $40,000 and you received a 3% increase at the end of every year for 15 years, what would be the in dollars, you would have earned over the first 16 years that you worked?
  
• What is the distance between the following polar coordinates?: # (8,(-23pi)/12), (5,(-3pi)/8) #
  
• How do you find the value?
  
• How do you convert #1=(-x+4)^2+(2y+9)^2# into polar form?
  
• How do you find a standard form equation for the line perpendicular to line x-7y=9 and point(5,4)?
  
• How do you use implicit differentiation to find an equation of the tangent line to the curve #x^2 + 2xy − y^2 + x = 39# at the given point (5, 9)?
  
• If a particle makes 1.5 revolution in a circular path of radius 2cm. The angular displacement is...??
  
• How do you solve #|-4x + 10| ≤ 46#?
  
• Equation of all lines passing through the intersection of lines #2x + 3y -5=0# and #x+y-2=0# is given by #(2x + 3y-5) + lambda(x+y-2) = 0#, of all these lines one line is farthest from point #(7,4)# the value of #lambda# is?
  
• 1÷sin^4x+cos^4x+sin^2xcos^2x.how will you integrate this?
  
• How do you find the slope of the line passing through the points A(4, 2) and B(-2, 4)?
  
• What is #f(x) = int xsinx^2 + tan^2x -cosx dx# if #f(pi)=-2 #?
  
• How do you differentiate # f(x) =1- (sec x/ tan x)^2 #?
  
• If alpha and beta are the zeros of x^2+pc+q, find (Alpha/beta +2)(beta/alpha+2) ?
  
• What is the equation of the tangent line of #f(x)=cos^3x^2 # at #x=0#?
  
• How do you find sin2 theta? Where theta is in the fourth quadrant.
  
• How do you solve #sqrt3csc(9x)-7=-5#?
  
• How do I solve 1=2cos(3X-5pi) for (0,2pi)?
  
• A hexagon has five angles that measure 140° each. What is the measure of the sixth angle?
  
• What are the points of inflection, if any, of #f(x)=xsin^2x # on [0,2pi]?
  
• Please solve with a detailed explanation?