Answers created by Timber Lin

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• For which function does the integral integral 0^3 sqrt(1+16e^4x)dx give the length of the curve on the interval [0,3] ?
  
• Using the graph of #f(x) = 2x^3 + x^2 - 3x+1#, what is the average rate of change from #x=-2# to #x=0#?
  
• What is the derivative of #v=1/3pir^2h#?
  
• What is the radius of convergence of #sum_1^oo (x^n ) / 6^n#?
  
• How do you differentiate #3sin^2(3x) # using the chain rule?
  
• How do you evaluate the definite integral #int (-3v+4)dv# from [2,5]?
  
• What is the area between the graphs?
  
• Find the interval & radius of convergence for the power series in #1b?
  
• Please help me with calculus?
  
• How do you differentiate #f(x)=(x^2+x)(x-1)# using the product rule?
  
• What are the points of inflection, if any, of #f(x) = 5x^3 + 30x^2 - 432x #?
  
• How do you differentiate #y = (sqrt(cos x))/(5lnx)#?
  
• What is the slope of the tangent line of #e^x-1/(x+y)^2= C #, where C is an arbitrary constant, at #(3,1)#?
  
• Evaluate the integration of ;( sin(8Inx) all devided by x)dx?
  
• Find the arc length of the function #y=1/2(e^x+e^-x)# with parameters #0\lex\le2#?
  
• Which term if the linear term in the equation #y=2x^2-3x+5#?
  
• How do you implicitly differentiate #xy- yln(x-y)= 4-x#?
  
• What is #int(sinx)/(cos^2 x) dx#?
  
• How do you differentiate #x^7 - 8xy + y^4 = 7#?
  
• What is the derivative of #sin (x/2)#?
  
• What is a solution to the differential equation dy/dx= y^2? (Please)
  
• How to differentiate y= (ln x)/(1+ln x) ?
  
• What is the first derivative of a complex surge function?
  
• What is the equation of the line normal to #f(x)=4/(x^3-1) # at #x=0#?
  
• #int(2/(sqrt(16-4x^2)# dx=?
  
• Let f(x) be a polynomial function such that f(-5)=1, f'(-5)=0, and f''(-5)= -2. the point (-5,1) is a ________ of the graph of f. what is the Blank?
  
• Please solve int(3/x-cosx)dx?
  
• How do you implicitly differentiate #1=(x^2-2y)^3 #?
  
• What is the limit as x approaches 0 of #sin^2(x/x)#?
  
• Find the limit lim x→0^+ (1+x^2)^1/x?
  
• The length of a side of a cube is increasing at a rate of 4 inches per second. At what rate is the surface area increasing when the volume of the cube is 216 square inches ?
  
• How do you find the derivative of #f(z)=e^z(cosz)#?
  
• Rewrite the rectangular equation to a polar equation, y=2x^2, what would r(theta) equal?
  
• How do you simplify #-6(-11i)#?
  
• Which conic section has the polar equation #r=1/(1-cosq)#?
  
• How do you use the chain rule to differentiate #y=2(x^3-x)^-2#?
  
• 2. Find the first 3 terms of the Taylor series for 𝑓(𝑥) = sin 𝜋𝑥 centered at 𝑎 = 0.5. Use your answer to find an approximate value to 𝑠𝑖𝑛 (𝜋/2+𝜋/10). How to do?
  
• What is the fourth root of 1296?
  
• How do you find #\lim _ { x \rightarrow \infty } ( \frac { 5x + 9} { 7x ^ { 2} - 2x + 1} )#?
  
• How do you find the slope of a tangent line to the graph of the function #x^3 + y^3 – 6xy = 0#, at (4/3, 8/3)?
  
• If #f(x)={(ln3x", " 0<x<=3),(xln3", "3<x<=4) :}#, then #lim_(xto3)f(x)# is?
  
• What is the equation of the line normal to # f(x)=1/(x-2) # at # x=1#?
  
• Suppose you are blowing a spherical bubble, filling it in with air at a uniform rate of 400mm^3/s. How fast is the radius of the bubble increasing by the time it is already 20mm long?
  
• How do you differentiate #y=sin^-1(-2x^2)#?
  
• Does anybody know how to solve the limit of #(x^x-x^{x^2})/(1-x)^2# when #x->1# ?
  
• How to, using Taylor series approximation , estimate the value of π, when arctan(x) ≈ x-x3/3+x5/5-x7/7 ?
  
• How to determine is #sum(-1)^n n/(n+1)# absolutely convergent, conditionally convergent or neither?
  
• What is the second derivative of #f(x)=csc(3x^2-x)#?
  
• What is the limit of #|x|# as #xrarroo?#
  
• Evaluate? lim (5/(t√(1+t))-5/t)‎ t→0‎
  
• Evaluate the limit #\lim_{x\rightarrow 0^+}(1/tan(x))^{1/ln(x)}#?
  
• Find the upper and lower estimates for the temperature? The given values are attached as a picture! Thanks.
  
• Help find answer 18?
  
• What is the instantaneous rate of change of #f(x)=1/(x^2-x+3 )# at #x=0 #?
  
• Question #35b63
  
• Question #54da5
  
• What is the domain and range of #f(x) = ln (10-x)#?
  
• How do you use the chain rule to differentiate #y=(x+2)^4#?
  
• Question #41fff
  
• What is the equation of the normal line of #f(x)= cotx# at #x = pi/8#?
  
• What is the equation of the line tangent to # f(x)=(-x^2-1)/(x+4) # at # x=5 #?
  
• Question #99cca
  
• What is #int (-2x^3-x^2+x+2 ) / (2x^2- x +3 )#?
  
• Question #3c093
  
• How do you solve #a(a+3)+a(a-6)+35=a(a-5)+a(a+7)#?
  
• What are two consecutive even integers such that their sum is equal difference of three times the larger and two times the smaller?
  
• How does the graph of the function #y=3sqrtx# compare with the graph of the parent square root function?
  
• Question #48746
  
• How do you integrate #int e^(2x)sin(3x)# by integration by parts method?
  
• How do you find the limit #(x^3+4x+8)/(2x^3-2)# as #x->1^+#?
  
• Question #061a3
  
• Question #34779
  
• Question #e3d0f
  
• How do you find the exact relative maximum and minimum of the polynomial function of #f(x) = x^3 + 4x^2 - 5x#?
  
• How do you use the chain rule to differentiate #cos(10csc10x)#?
  
• What is the standard form of # y= (x+7)(2x+15)-(x-7)^2#?
  
• Question #3a12a
  
• How do you find the volume of a solid that is enclosed by #y=x^2-2#, #y=-2#, and #x=2# revolved about y=-2?
  
• Question #90336
  
• A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. How fast is the tip of his shadow moving when he is 50 ft from the pole?
  
• What is the equation of the normal line of #f(x)=xln(3^(1/x))# at #x=0#?
  
• How do you find the derivative of #f(x)=4/(sqrtx-5)# using the limit definition?
  
• What is the slope of the line normal to the tangent line of #f(x) = secx-cos^2(x-pi) # at # x= (pi)/12 #?
  
• A particle travels at #2 units per# second along the curve #y=x^3-3x^2+2#. How long does it take to travel from the local maximum to the local minimum?
  
• Question #da1c2
  
• Question #08991
  
• Question #7c49e
  
• Question #923ff
  
• Solve (x – 7)(x + 4) = 0. find x?
  
• How do you solve #2( x - 6) > 5x - 4#?
  
• How do you find the integral of #int (x-2)/((x+1)^2+4)#?
  
• How do you calculate the average rate of change of #f(x) =x^2+3x-2# on the interval #1<=x<=4#?
  
• How do you find the derivative of #f(t)=(3^(2t))/t#?
  
• How do you implicitly differentiate # sin x - cos y = e^(xy)sin x cos y#?
  
• Could you differentiate this function? f(x)=6x^2ln(4x)
  
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y = 1/x^4#, y = 0, x = 1, x = 4 revolved about the x=-4?
  
• How do you evaluate the definite integral #int_0^(oo)x^3e^(-x)dx#?
  
• How do you use a graphing calculator to find the limit of the sequence #a_n=n^2/(n+1)#?
  
• Question #05c1d
  
• What is the domain of #f(x) = sqrt[cos(sinx)]#?
  
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