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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