Questions asked by Yiu A.

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• Let `f(x)=(ln(x))^(sec(x))` . `f'(x) =?`
  
• Let `f(x)= sqrt(|x^3+1|)`. How to show that `f(x)` is not differentiable at `x=-1`?
  
• What is `dy/dx` when `y=(arctanx)^(tanx) , x>0?`
  
• Is the lim exists when `lim_(x->0) f(x)= +- oo?`
  
• How to solve `lim_(x->1) (x^(1/5)-1)/(x^(1/2)-1) ?`
  
• What's the derivative of the function at the given point? `f(x)=1/x^(1/2)` ,at `(1/4,2)`
  
• What's the `f^(-1)(x)` of `f(x)=x^3+1/x+2 ?`
  
• How to find the rate at which water is being pumped into the tank in cubic centimeters per minute? details below:
  
• If `3000` dollars invested in a bank account for `8` years, compounded quarterly, amounts to `4571.44` dollars, what is the interest rate paid by the account?
  
• What must be the altitude of the inscribed cone in order to have the largest possible volume?
  
• How to evaluate this limit?
  
• What's the value of `h` which minimize the perimeter?
  
• What's the value of the two`?` ? I don't understand what's the question is asking actually and have no idea on what method to use to calculate. :(
  
• H0: μ = 100 H1: μ ≠ 100 σ = 10,𝑛 = 100,𝑥̅ = 100,𝛼 = 0.05 Calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution. How?
  
• How to do this hypothesis testing question?
  
• How to find the p-value?
  
• How to find calculate this?
  
• How to do this hypothesis testing question?
  
• What is the value of this integral `∫_0 ^10 |x−5|dx` ?
  
• What is the displacement of this question?
  
• How to do this integral question?
  
• How to evaluate this indefinite integral `∫[10sin(x)]/[1+cos^2(x)]dx`?
  
• How to use Fundamental Theorem of Calculus. to solve this?
  
• How to use substitution to solve this integral? `∫_0^1dx/(sqrtx+5root(3)x)`
  
• Is this asking for the confidence interval? If so, how to calculate?
  
• How to do this regression question?
  
• Can this be solved? `int ((sqrtx+1)/(2sqrtx))^4dx`
  
• Am I doing this regression problem wrongly?? Please help! Thank you!
  
• How to calculate the probability of a Type II error?
  
• Can I ask questions about a subject that haven't been launched? I would like to ask questions about accounting here but there's not enough founder yet and I can't choose "Accounting" as the subject of the question. It's bad to catagorize question wrongly.
  
• There is a right circle cyclinder inside a sphere with radius `8m`. What is the largest surface area of the right circle cyclinder?
  
• How to do this MC?
  
• What is the volume? and how to change the unit of the following question? I'm not sure about the (b) part.