Questions asked by Lithia

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• How do you find the rectangular coordinate of `(7.5,110^circ)`?
  
• Evaluate the integral `int_1^2 dt/(8-3t)`?
  
• Find `dy/dx` for `ln(e^x)`?
  
• Evaluate integral by using integration by parts: `intcos^-1x dx`?
  
• A glass of water is sliding down a frictionless slope. The angle of inclination is `theta`. What angle does the surface of the water make with the horizontal?
  
• Find the limit of the sequence or why it diverges?
  
• Find the limit or explain why it diverges?
  
• Does the series converge or diverge?
  
• How to find the approximate value by using the first five terms of the Maclaurin series?
  
• Derivative of `log_10 sqrtx`?
  
• Is `(lnx)^2` equivalent to `ln^2 x`?
  
• Integrate `int_1 ^sqrt3 arctan(1/x)dx`?
  
• Integrate `intx^3/sqrt(x^2+4)` using trig substitution?
  
• Test series for convergence/divergence. `sum3^n/(4^n+5^n)`?
  
• Find limit of `lim 1^n/(2n-1)`?
  
• Which sentence make sense?
  
• Find the slope of the tangent line to the given polar curve `r=7sintheta, theta=pi/6`?
  
• Does the sequence converge or diverge? `lim sin(4n)/(7+sqrtn)`?