Answers created by AJ

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• Help me to proof this L'Hospital's Rule II for case (b) please? I am waiting for your help. Thank you very much for your help before.
  
• How do you find the difference of sigma notations?
  
• How would you go about solving sin(x+pi/3) - cos(x+pi/6) = sqrt(2)/2 for all solutions on the interval [0,2pi)?
  
• Which quadrants and axes does #f(x)=sin^2x# pass through?
  
• Hoe do you differentiate #f(x)=ln(e^(4x)/x) #?
  
• Points A and B are at #(3 ,8 )# and #(7 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C?
  
• The trajectory of a shot put of an athlete is modelled by a quadratic graph. The shot was thrown off the hand of the athlete at a height of 2 metres. The max. point of the trajectory was at (3, 2.5).. ?
  
• How does one prove sin(x+y) - sin(x-y) = 2cos(x) sin(y)?
  
• Prove that if 1<a<2 , that 2<a+1/a<3? please , i really need your help!!!
  
• Use a sine function to describe the height of the tides of the ocean if high tide raises the water level to 5 metres at noon and low tide drops it down to 1 metre at 4 p.m. Let t=0 be 12 noon?
  
• How do you solve for x in #log_2(x-3)=2-log_2(x-6)#?
  
• When you reverse the digits in a certain two-digit number you decrease its value by 18. Can you find the number if the sum of its digits is 10?
  
• How do you find the axis of symmetry, and the maximum or minimum value of the function #y=x^2 - 3#?
  
• How do you verify this? sin(x) cos(x) [tan(x) + cot(x)] = 1 Thank you!!
  
• A jogger ran 8 miles and then walked 6 miles. The jogger's running speed was 5 miles per hour faster than her walking speed. The total time for jogging and walking was 2 hours. What was the jogger's walking speed and jogging speed?
  
• What are the vertical and horizontal asymptotes of #f(x)=(3x-1)/(x+4)#?
  
• Estimate the area under the graph of f(x) = 2 - sin(x)?
  
• How do you solve #11= | d - 5| + 4#?
  
• How do you find the period of #y=4sin2x#?
  
• How do you solve #log(x-2)-log(2x-3)=log2#?
  
• Write an equation in slope-intercept form for the line that passes through (-1, 4) and is perpendicular to the graph of the equation: y=3x+5 ?
  
• How do you find the maximum or minimum of #f(x)=3-x^2-6x#?
  
• How do you graph # y= -3/4 sin ( pi/5 x) - 7/4#?
  
• Question #8984a
  
• How do you write #y = |6 + 2x| + 1 # as a piecewise function?
  
• A projectile is shot at a velocity of #15 m/s# and an angle of #pi/12 #. What is the projectile's maximum height?
  
• Question #12e44
  
• How can you tell if an atom is neutral or not?