Answers created by Anjali G

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• How do you find the equation of the tangent line of #y= x^7- 6x^5-3# at x=1?
  
• Question #82d8c
  
• What is the derivative of #sec^2(3x)#?
  
• Is #f(x)=-sqrt(e^x -x^3-2x # concave or convex at #x=-1 #?
  
• How do you find the area of the region bounded by the given curves #y = 6x^2lnx # and #y = 24lnx#?
  
• What is the arclength of #(sqrt(3t-2),1/sqrt(t+3))# on #t in [1,3]#?
  
• What are the intervals on which #f(x)=6-x^2# is increasing and decreasing?
  
• How do you integrate #int e^(3-x)dx# from #[3,4]#?
  
• Question #302d0
  
• What are the points of inflection of #f(x)= x^3 - 7x^2 + 2xe^x #?
  
• How solve this?
  
• What is the vertex of # y= -3x^2 - 2x - (x+2)^2 #?
  
• Question #cb95b
  
• Question #ddfb7
  
• How do you solve #10( r - 8) \leq - 80#?
  
• What is the arclength of #(sqrt(t+2),1/t)# on #t in [1,3]#?
  
• Question #fd18b
  
• A circle has a center that falls on the line #y = 11/7x +8 # and passes through # ( 9 ,1 )# and #(8 ,7 )#. What is the equation of the circle?
  
• Question #c21c3
  
• Question #299c9
  
• How do you find a power series representation for #ln(1-x^2) # and what is the radius of convergence?
  
• Evaluate: #int_0^2 ln(x+4) dx# ?
  
• Question #0be35
  
• What do I do when I have to integrate x multiplied by f(x)?
  
• Question #c7bbb
  
• How do you solve the equation #csctheta=-1.57# for #0<theta<2pi#?
  
• How do you implicitly differentiate # y^3+x^2y+x^2-3y^2#?
  
• What is the area enclosed by #r=-sin(theta+(11pi)/8) -theta/4# between #theta in [0,(pi)/2]#?
  
• How do you factor the expression # 8x^2+ 38x + 9#?
  
• Question #5a23f
  
• What is the arclength of the polar curve #f(theta) = 4sin(2theta)-2sec^2theta # over #theta in [0,pi/8] #?
  
• If #y = sin^4x -cos^4x#, what is #dy/dx#?
  
• What is the arclength of #f(t) = (t^2sqrt(t-1),t^2+t-1)# on #t in [2,3]#?
  
• Question #8fc34
  
• What are the absolute extrema of #f(x)=2cosx+sinx in[0,pi/2]#?
  
• What are the points of inflection of #f(x)=2xe^-x + x^2e^x #?
  
• Question #4234f
  
• Question #42f0e
  
• Use the graph to determine each local extrema? (See Image)
  
• Question #87e23
  
• Let R be the region in the first quadrant enclosed by the graphs of #y=e^(-x^2)#, #y=1-cosx#, and the y axis, how do you find the area of the region R?
  
• What is the distance between the following polar coordinates?: # (6,(17pi)/12), (5,(9pi)/8) #
  
• How do you differentiate #f(x)=sin(e^(x^2-2))# using the chain rule?
  
• What is the axis of symmetry and vertex for the graph #y = –(x + 3)^2 – 6#?
  
• Question #2c6b4
  
• What is the vertex form of #y = 12x^2 -4x + 6#?
  
• What is the range of the function #y= -x^3 + 3x^2 +5x -1#?
  
• How do you solve #5t ^ { 2} + 6= 11t#?
  
• What are the points of inflection of #f(x)=x^5 - 2x^3 +4x#?
  
• Question #c09cf
  
• How do you divide #\frac { 5} { 3n ^ { 3} + 3n ^ { 2} } \div \frac { 1} { 3n ^ { 2} }#?
  
• How do you rationalize the denominator and simplify #5/(root3(4))#?
  
• Question #fc03e
  
• What is the slope of the line y = -2x?
  
• Question #0b00d
  
• How do you find the vertex and the intercepts for #f(x)=2x^2-12x+21#?
  
• How do you simplify #(\frac { 2x y ^ { 3} } { x ^ { - 5} y ^ { - 2} } ) ^ { - 2}#?
  
• Question #0138c
  
• How do you integrate #int 1/ [ (x-1)(x+2)(x-3)] dx# using partial fractions?
  
• How do you find the second derivative of #y=1/(t^2+1)#?
  
• How do you solve #\frac { k } { 28} = \frac { 18} { 42}#?
  
• What is the interval of convergence of #sum_1^oo sin(nx)/n #?
  
• Question #978c3
  
• Question #0a736
  
• What is the range of the function #f(x)=x^2+2x+2#?
  
• Question #a8879
  
• How do you solve #-\frac { 2} { 5} y = \frac { 7} { 8}#?
  
• Question #caaa0
  
• Question #1ef05
  
• Question #104ce
  
• How do you factor and solve #x - 6 = -x^2#?
  
• Question #409c3
  
• How do you solve #x^ { 4} = 10+ 3x ^ { 2}#?
  
• How do you evaluate the definite integral #int root3(t)-2dt# from [-1,1]?
  
• How do you test for convergence of #Sigma n e^-n# from #n=[1,oo)#?
  
• The sum of two numbers is 40. The larger number is 8 more than the smaller number. What are the numbers?
  
• What is the domain and range of #y=x^4+x^2-2 #?
  
• How do you solve #11/15=n/60#?
  
• How do you simplify # (x/y)^5 #?
  
• How do you simplify #(sqrt(6x^2) + 4sqrt(8x^3))(sqrt(9x)-xsqrt(5x^5))#?
  
• Question #b314f
  
• Question #92b0c
  
• How do you simplify #(a + b ) ^ { 2} ( a + b ) ^ { 5} #?
  
• Question #7ea37
  
• Question #0860e
  
• Question #61a5a
  
• How do you find the slope and intercept for #x-4y=-8#?
  
• Question #d53de
  
• Question #14706
  
• What is the equation of the line normal to # f(x)=-(x+6)(x+3)+4x^2-8x+2# at # x=0#?
  
• What is #lim_(xrarroo) 1/x #?
  
• How do you factor #25r ^ { 2} - 10r - 35#?
  
• What is the instantaneous rate of change of #f(x)=ln(2x^2-x+6) # at #x=-2 #?
  
• How do you find the quotient of #(6b-12)/(b+5)div(12b+18)#?
  
• What is the vertex of # y= -x^2-4x-3-2(x-3)^2#?
  
• Question #9747d
  
• Question #923f4
  
• How do you solve #\frac { 7} { 8} = \frac { x } { 120}#?
  
• One number is three more than the other number. When the square of the smaller number is subtracted from the square of the smaller number, #45# is obtained. What are the two numbers?
  
• Question #4478f
  
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