Answers created by Youssuf E.

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• How do you solve by completing the square for #x^2+ 3/2x = 3#?
  
• How do you solve # 2/(x-6)+6= x/(x-6)#?
  
• How do you solve the equation #-2x^2+10x+22=4# by completing the square?
  
• A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #9#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
  
• If a #2 kg# object moving at #1/2 m/s# slows to a halt after moving #5 m#, what is the coefficient of kinetic friction of the surface that the object was moving over?
  
• If a #1 kg# object moving at #3 m/s# slows down to a halt after moving #8 m#, what is the friction coefficient of the surface that the object was moving over?
  
• How do you find the derivative of #5/((x^2) + x + 1)^2#?
  
• How do you evaluate #2( 3x ^ { 2} ) ( 2x ^ { 2} + 3x - 5)#?
  
• What is the equation of the line that is normal to #f(x)= x(x-4) # at # x= 5 #?
  
• A radio station transmits electromagnetic waves of frequency 40MHz. If the speed of these waves is 3 into 10 raised to the power 8 metres per second, what is the wavelength of these waves ?
  
• Rewrite #sin^4(x)tan^2(x)# in terms of the first power of cosine?
  
• What is the product theorem of complex numbers in polar form?
  
• How do you simplify #(24x^3y + 12x^2y^2 - 16xy^3)/(4xy)#?
  
• How do you differentiate #f(x)= (4 x^2 + 2x -3 )/ (x- 1 )# using the quotient rule?
  
• Find the equation of tangent at point where the curve y=2e^(-x/3)?
  
• What is an inelastic collision?
  
• From a laboratory on Earth, you observe a spacecraft traveling horizontally at a speed of 0.580 𝑐. You measure it to have a horizontal length of 5.80 𝑚 and a vertical height of 1.20 𝑚. What will be its length and height if it comes to rest in the lab?
  
• A 2.3 kg steel ball strikes a wall with a speed of 8.5 m/s at an angle of 64⁰ with the surface. It bounces off with the same speed and angle. If the ball is in contact with the wall for 0.448 s. What is the average force exerted by the ball?