Answers edited by James

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• Domain of a function?
  
• How do you determine dy/dx given #e^cosy=x^3siny#?
  
• Which definite integral would you use to compute the area enclosed by the parabola y=-x^2+4 and the line y=2x-3?
  
• The area of the region bounded by the curve y=x^2 and y=4x-x^2 is ?
  
• How do you differentiate #f(x)=(-4x)/(x^2-1)# using the quotient rule?
  
• What is the derivative of (1+x^2)-1?
  
• How do you sketch the angle #-250^circ# and find its reference angle?
  
• How do you find the area between #y=-3/8x(x-8), y=10-1/2x, x=2, x=8#?
  
• What is the exact value of cos(-5pi/4)??
  
• What is the arclength of #f(x)=xcos(x-2)# on #x in [1,2]#?
  
• How do you find the slope of #2y=5#?
  
• What is the derivative of #(2x-3)^5#?
  
• How do you prove #(sinx + cosx)(tanx + cotx)=secx + cscx#?
  
• We have A(x) = x^2-6x+4 the question is factorise A(x) +5?
  
• How derivative of (1/cot(x)) = sec^2(x) ?
  
• What is the surface area of the solid created by revolving #f(x) = x^2-2x+15 , x in [2,3]# around the x axis?
  
• Solve #e^x-lnx<=e/x# ?
  
• What is the answer 1÷1-1×3 ?
  
• How do you divide #2\frac { 6} { 7} \div \frac { 5} { 14}#?
  
• How do you find the amplitude and period of #y=-2cos(4t)#?
  
• How does #\lim_(n\rarr\infty)(2|x-2|)/(n+3)=0#?
  
• How do you graph the polar equation #r=-3sintheta#?
  
• Express cos4x as powers of cosx. ?
  
• How do you use the midpoint rule to estimate area?
  
• Find the volume of the solid generated by revolving the region bounded by x=Siny,x=1,and x-axis about y-axis?
  
• Find the surface area of the solid of revolution obtained by rotating the curve x=(2y−y^2)^(1/2) from y=8/16 to y=31/16 about the y-axis?
  
• What is the limit of #lim_((x,y)->(0,0))x^3/(x^2+y^2)#?
  
• What is the derivative of #(x)/sqrt(x^2-4)#?
  
• Find the arch length of the curve given by: #x= (1/4)y^3 + (1/3y)# ; #1 le y le #2 ?
  
• 2cos^2x-1=0,x=5pi/4?
  
• How do you solve #H= -0.5x^2 + x + 4# using the quadratic formula?
  
• Solve the equation sin x + sin 2x = 0 , for 0°< x < 360°?
  
• Can you please prove sinh(2x)= 2 sinh(x) cos(x)?
  
• Need help plotting ?
  
• What is the net area between #f(x) = e^(3-2x)-2x+1# and the x-axis over #x in [0, 3 ]#?
  
• How do you find the vertex of #y= x^2 -16#?
  
• What is the derivative of #"arcsec"(e^(2x))#?
  
• What is the area enclosed by #r=8sin(3theta-(2pi)/4) +4theta# between #theta in [pi/8,(pi)/4]#?
  
• What is the surface area produced by rotating #f(x)=sinx-cosx, x in [0,pi/4]# around the x-axis?
  
• What is the improper integrals 1/(x^2-16) dx from 0 to 4 ? .
  
• Find the volume of the solid by using cylindrical shells?
  
• How do you solve the identity # 2 cot x = -3/2#?
  
• How do I find the volume of the solid generated by revolving the region bounded by #y=x^2#, #y=0#, and #x=2# about the #x#-axis? The #y#-axis?
  
• How do you find the limit of # (x-pi)/(sinx)# as x approaches pi?
  
• Y=cosx+sinx/cosx-sinx find dy/dx?