Answers created by Andrew I.

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• Lim (2x-1)2-9 / x+1 x->-1 How to Evaluate the limit ?
  
• What is the integration of I = int(1-2x³).x².dx by using the correct substitution for t = _ ?
  
• How do you divide #(2x^4+5x^3-3x+1)/(x^2-x+2)#?
  
• Integral of cos^5x dx?
  
• How do integrate this #int (e^x + e^-x)/(e^x - e^-x)dx# without hyperbolic indentities, preferebly with subsititution?
  
• What is the antiderivative of #x/(x+1)#?
  
• Why is the efficiency in the below question 0.25 not 0.33?
  
• A charge of #2 C# is at the origin. How much energy would be applied to or released from a # 3 C# charge if it is moved from # ( -4, 6 ) # to #( 7 , -4 ) #?
  
• How do I use the limit definition of derivative to find #f'(x)# for #f(x)=x^3-2# ?
  
• How do you differentiate #f(x)= (x+2)/ (x- 7 )# using the quotient rule?
  
• How to calculate this? #int_0^1 log(1-x)/xdx#
  
• How do you find a linear approximation to #root(4)(84)# ?
  
• Vectors Please Help ( What is the direction of vector A + vector B?)
  
• Question #ae166
  
• Simple integral: #int {-3x+5}/{x^2-2x+5}dx=?#
  
• #lim_(x to 0) sin^5(x)/ (x^2+x) sin(x^4)# how should i solve it?
  
• Question #5f724
  
• What are the different types of spiral galaxies besides barred?
  
• How do you write the partial fraction decomposition of the rational expression # 10/[(x-1)(x^2+9)] #?
  
• Question #6abef
  
• A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #1#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
  
• How do you find the vertical, horizontal or slant asymptotes for #y = e^x (1-x^2)#?
  
• How do you find the local extrema for #y=sqrtx/(x-5)#?
  
• How do you use the integral test to determine if # sum_(n=3)^(oo) 1/(nlnnln(lnn))# is convergent or divergent?
  
• Stuck with physics ?
  
• How do you find the interval of convergence #Sigma 2x^n# from #n=[0,oo)#?
  
• Find the equation of the tangent line to the curve #y=x^4+2 e^x# at the point #(0,2)#.?
  
• How do you implicitly differentiate #y= (x-y^2) e^(xy) #?
  
• What is the derivative of x^(10x)?
  
• Question #4886a
  
• How do you integrate #\int \frac{ d x } { 9x ^ { 2} - 16} #?
  
• Lim x->0 tan^-1x/x solve?
  
• Question #57cc0
  
• What is a polar plot?
  
• Integration by parts for definite integrals?
  
• Question #61e49
  
• What is #lim_(x to pi) (sin3x)/(sin2x) #?
  
• How do you test the series #Sigma (2^n(n!))/n^n# from #n=[1,oo)# by the ratio test?
  
• How to prove equation of kinetic energy (KE = 1/2mv^2)?
  
• Can someone help me with these two continuous function problems? Information is in the pictures.
  
• What is the equation of the line tangent to # f(x)=2/(4 − x)# at # x=p3#?
  
• Question #0e707
  
• How do you find vertical, horizontal and oblique asymptotes for #(x^2)/(x-1)#?
  
• Question #268d4
  
• How do you solve #3^ { 7x } = 3.3#?
  
• How do you solve #\frac { 6} { x } = \frac { 4} { 3x } + 1#?
  
• Question #27793
  
• How do you divide #\frac { 5a ^ { 2} + 49a - 10} { 14a ^ { 2} + 30a + 4} \div \frac { 5a ^ { 2} - 51a + 10} { 14a ^ { 2} + 30a + 4}#?
  
• How do you use the definition of a derivative to find f' given #f(x)=1/x^2# at x=1?
  
• How do you find the tangent lines of parametric curves?
  
• How do you solve #\log _ { 8} 2+ \log _ { 8} 2x ^ { 2} = \log _ { 8} 64#?
  
• In order to conduct an experiment, five students are randomly selected from a class of 20. How many different groups of five students are possible?
  
• I don't get my mistake on how to solve #2int (1)/(x^2-x+1)dx#, can you help me?
  
• Can I get some help finding the x - intercept please? Thanks!
  
• Question #f37ca
  
• Does the series #sum_{n=1} ^oo (2)/(n^2sqrtn)# converge or diverge?
  
• Question #0c06b
  
• How do you apply the ratio test to determine if #sum_(n=1)^oo 3^n# is convergent to divergent?
  
• What is the equation of the line normal to # f(x)=(x-1)(x+2) # at # x=0#?
  
• Calculate the area between the curve y=3x-x^2 and the x axis between x=10 and x= 6?
  
• Question #f0549
  
• Solve #2tan^2xsinx-tan^2x=0#, if #x in[0^@,360^@]#?
  
• Question #59763
  
• How do you Find exponential decay rate?
  
• How do you solve this system of equations: #y= \sqrt { 2x + 1} and y = \sqrt { 3- 4x }#?
  
• What is #f(x) = int 3x-2cscx dx# if #f((5pi)/4) = 0 #?
  
• How do you combine the expression 5√8x^3-x√50x?
  
• How do you differentiate #f(t)= sqrt(ln(t)) / (-4t-6)^2# using the quotient rule?
  
• How do you find the integral of #f(x)=cos^2(x^2)# using integration by parts?
  
• Answer all with working out please?
  
• Question #87a05
  
• How do you evaluate the definite integral #int(5x^(1/3))dx# from #[-2,2]#?
  
• What are is the probability of picking a number less than 4 from a deck of cards?
  
• Question #1da1c
  
• How do you find the power series for #f(x)=1/(1+x^2)^2# and determine its radius of convergence?
  
• How do find #int (x^2) /( x^2 + 4) dx # ?
  
• Question #f2bce
  
• Question #c38d7
  
• Question #62823
  
• Question #b6028
  
• How do you integrate #int t(2t+7)^(1/3)# by integration by parts method?
  
• Question #a685f
  
• Write seven terms of the Fourier series given the following coefficients?
  
• How do you differentiate #g(x) = (2sinx -e^x) ( 2x-x^2)# using the product rule?
  
• Evaluate the limit? #lim_(x->0) (e^x-1-x-1/2x^2)/x^3#
  
• Question #94b54
  
• What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) = 36-t^2# from #t in [2, 6]#?
  
• Question #df9f8
  
• How do you use the chain rule to differentiate #tan(ln(4x))#?
  
• What is the derivative of this function #y=csc^-1(4x^2)#?
  
• How do you solve #3x +9-7x = 2(x 6)#?
  
• How do you use implicit differentiation to find #(dy)/(dx)# given #1=3x+2x^2y^2#?
  
• How do you graph #f(x)=16-1/4x^2# and identify the x intercepts, vertex?
  
• What are the values and types of the critical points, if any, of #f(x,y) = x(2-x-y)#?
  
• Energy is neither created nor destroyed,can only be changed from one form to another. Then which form of energy is converted into gravitational energy?Gravity is a form of energy, right?
  
• Does light have mass?
  
• Question #eb036
  
• How do you solve the system of equations #6x - 3y = 12# and #- 5x + 3y = - 5#?
  
• Find all of the points on the curve #y = x^3 + 5x^2# where the tangent line is parallel to the line #y = 11x − π#.?
  
• How do you integrate #int cos^3(3x)dx#?
  
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