Answers created by Jim S

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• Given a `f'(x)`, how to draw its `f(x)`?
  
• What is the derivative of `f(x)=xcos(cosx))`?
  
• How do you find `int(e^-x)/(1+e^-x)dx`?
  
• How do you rewrite `root5 (z^4)` with rational exponents?
  
• What is the limit of |x-1|/(x-1) as x approaches 0?
  
• Integrate the following function `int_0^1(e^z+1)/(e^z+z)dz` ?
  
• What is the distance between `(3, 2)` and `(8, 8)`?
  
• How do you find the asymptotes for `f(x)=xe^-x`?
  
• Not sure how to appraoch this ? can someone help would really appreciate it
  
• Calculate `lim_(xto1)(e^f(x)-1)/(x-1)` ?
  
• How do you find the Limit of `(lnx)^3/x^2` as x approaches infinity?
  
• How do you find `lim (e^t-1)/t` as `t->0` using l'Hospital's Rule?
  
• Check below? (geometry involved)
  
• Find `f` and 'calculate' the integral?
  
• How do you find the equation of the line tangent to f(x) = 6x^2 - 1 at x = 3?
  
• What is the Limit of cos(3x)^(5/x) as x approaches 0?
  
• How do you integrate `int (1) / (sqrt(1 + x))`?
  
• Let f:Rise defined from R to R . find the solution of f(x) =f^-1 (x)?
  
• Limit as x approaches 0 of `ln(sin(x))`?
  
• What is the equation of the tangent line of `f(x) = e^(x)/(x^2-x` at `x=3`?
  
• Let f:Rise defined from R to R . find the solution of f(x) =f^-1 (x)?
  
• Find the intervals of increase and /or decrease of f(x) = X^2e^2 and determine all local max and min points if any?
  
• What is the integral of `(lnx)/x`?
  
• `2-pi/2<=int_0^2f(x)dx<=2+pi/2` ?
  
• On what interval isthe function f(x)=x^3.e^x increasing and diecreasing?
  
• Show that `f` is strictly increasing in `RR` ?
  
• Lim(e^x+x)^(1/x) as x→0+?
  
• Find an equation of the tangent line to `y=x+ 2/x` at the point (2,3)?
  
• What is the equation of the tangent line of `f(x) =e^x/lnx-x` at `x=4`?
  
• What is the area between the graphs?
  
• The graph of `y=ax^2+bx` has an extremum at `(1,-2)`. Find the values of a and b?
  
• How do you find the antiderivative of `int (x^2+1)^2 dx`?
  
• Prove the following?
  
• How do you determine the limit of `1/(x-4)` as x approaches `4^-`?
  
• What is the Value of cos(5pi /4)?
  
• What is the derivative of `f(x)=picos((x-1)/x^2)`?
  
• Please help `f(x)=6x^5-10x^3` a. find the `x` coordinates of all max and min points. b. State the intervals where f is increasing?
  
• Find the area of the shaded region?
  
• What is the derivative of `lnx^lnx`?
  
• How do you determine the limit of `(3/x^3) ((x-2)/(x-1))` as x approaches 1-?
  
• What is `lim_(x->0) e^x*sin(1/x)`?
  
• What is the equation of the line tangent to `f(x)=(x-2)/x` at `x=-3`?
  
• Show that `|z+1|+|1+z+z^2|+|1+z^3|>=1` ?
  
• Limx→∞(3^n+2)/(3^n+5)=??
  
• The function `f:f(x)=-|x|+1` is decreasing in the interval...?
  
• Find the range of the function f(x) = (1+ x^2)/x^2 ?
  
• A street light is at the top of a 15 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 50 feet from the base of the pole?
  
• What is the limits of : `LIM_(x->0) (e^(2x)-1)^(x^2)` ?
  
• How do you prove that the function `f(x) = [x^2 + x] / [x]` is not continuous at a =0?
  
• What is the net area between `f(x) = x-sinx` and the x-axis over `x in [0, 3pi ]`?
  
• If `f(x) =sin^3x` and `g(x) = sqrt(3x-1`, what is `f'(g(x))`?
  
• Determine the local max and/or min and intervals of increase and decrease for the function f(x)=√(x^2 - 2x +2) ?
  
• Lim xcscx x →0 how to get the answer ?
  
• What is the area under `f(x)=5` in `x in[0,2]`?
  
• Suppose `g` is a function whose derivative is `g'(x)=3x^2+1` Is `g` increasing, decreasing, or neither at `x=0`?
  
• What is the antiderivative of `1/sinx`?
  
• How do you solve `-4x + 5< 0`?
  
• What is the range of the function `f(x)=3x-1`?
  
• Evaluate the value of ((x+4)^2-4)/x as x approaches to 0?
  
• Find the limit, if it exists?
  
• How do you find the extrema for `g(x) = sqrt(x^2 + 2x + 5)`?
  
• How do you integrate `int x+cosx` from [pi/3, pi/2]?
  
• How do you differentiate `f(x)=2x^2*e^x*sinx` using the product rule?
  
• How do I find the extrema of a function?
  
• What is `int ln x / sqrtx dx`?
  
• How do you graph `y=sqrt(x-3)`?
  
• How do you find antiderivative of `(1-x)^2`?
  
• What is the derivative of x/2?
  
• How do you determine the limit of `(x-pi/2)tan(x)` as x approaches pi/2?
  
• How do you find the derivative of`sinx/(1+cosx)`?
  
• Why are parentheses used in grammar?
  
• Find `int_0^(π/2) e^x sin xdx` ?
  
• Suppose f(x) is even function. if f(x) is continous at a, show f(x) continuous at -a ?
  
• Show that `x/2<``f(x)``<``xf'(x)` , `AAx>0` ?
  
• How do you solve `-216= 8( - 5a - 7)`?
  
• Question #1f1cc
  
• How can i find the Domain of this f(x)?
  
• Show that `lim_(x to +oo)f'(x)=0` ?
  
• Question #61e49
  
• What is `lim_(x to pi) (sin3x)/(sin2x)`?
  
• Question #fd6fd
  
• Y=7xe^x2 help me diffrentiate?
  
• In(x/x^2+1) diffrentiate?
  
• How do you find the important points to graph `f(x)= -x^2-4x`?
  
• How do you graph `Y=x^2+5x+3`?
  
• How do you find `lim sqrt(2x+3)-sqrtx` as `x->oo`?
  
• Show that `|c|<1` ?
  
• How do you find `lim_(x->0^+)(sinx)^x`?
  
• How do you find `lim_(x->∞)(x+2sinx-1)/(x+3cosx+1)`?
  
• Test `f` for concavity?
  
• How do you solve `\ln ( 7- x ) = \frac { 1} { 2}`?
  
• Question #da76e
  
• How do you solve `\frac { 56} { x - 2} = x - 3`?
  
• How do you simplify `\sqrt{36-4x^{2}}`?
  
• How do you solve `3( v + 94) - - 66= 96`?
  
• How do you solve `\frac { 4} { x - 3} = \frac { x + 5} { 5} ]`?
  
• How do you multiply `(+ \frac { 8} { 3} ) \cdot ( - \frac { 3} { 2} )`?
  
• How do you solve `293= 59+ 13x`?
  
• How do you solve `-27< 4.5( 4- n )`?
  
• How do you solve `-(5- m ) = - ( 3n + 5)`?
  
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