Questions asked by GreyWolf-X

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• How do you solve: sin(x) = -0.78 on 0 ≤ x ≤ 2π ?
  
• How would you use the sum and difference identities to prove: 2sin(a+b)sin(a-b) = cos(2b) - cos(2a) ?
  
• Find the values of m and b that make f continuous everywhere: m = ? b = ?
  
• Find F'(a) and G'(a) ?
  
• The population of a culture of cells after t days is approximated by #P(t)=(1600)/(1+7e^(-0.02t))# when t ≥ 0 ?
  
• Estimate the value of f'(0). Additionally, what is a value x = c for which f'(c) = 0? (Part A is already done)
  
• By adding a third parallel line to the diagram, find ABC?
  
• Solve for the variables in each of the diagrams?
  
• Write the sum in sigma notation 72 + 61 + 50 + 39 +...+ -104 ??
  
• Calculate the distance traveled over 5 seconds by finding the area under the curve?
  
• A wheel originally rotating clockwise at 98 rad/s speeds up to 125 rad/s while turning through 628 radians. Assume a constant rate of acceleration. The wheel is 1.3m?
  
• Find the net torque and angular acceleration of the bar?
  
• Find the magnitude of the force which when applied to a point (0.40m) to the right of the support will keep the meter stick in equilibrium?
  
• (LARGE MULTIPLE PART QUESTION - Help with any of the parts is greatly appreciated!) The antibiotic penicillin has a thiazolidine ring in its structure. The compound thiazolidine, C3H7NS, is a molecular weak base with a pKb of 7.69?
  
• What reaction occurs when 35.8mL of 0.00194M HClO4 are mixed with 20.0 mL of 0.00356MNaOH? (Assume volumes are additive.)?