Answers created by NickTheTurtle

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• How do I make a hashtag character appear as a hashtag character in a Comment (or anywhere else I assume)?
  
• Given that the sum of the first three terms of a sequence is 48, and the product of those three terms is 2496, what is the fourth term of the sequence?
  
• How do you integrate #int e^(x)/sqrt(e^(2x) +36)dx# using trigonometric substitution?
  
• How do you find #lim sintheta# as #theta->oo#?
  
• A ball with a mass of #1 kg # and velocity of #6 m/s# collides with a second ball with a mass of #1 kg# and velocity of #- 3 m/s#. If #20%# of the kinetic energy is lost, what are the final velocities of the balls?
  
• How do you find the slope of the secant lines of #y=sqrt(x)# through the points: x=1 and x=4?
  
• Per capita income is160 times greater in the U.S than in the Congo. per capita grows an average of 3% per year in the U.S. and 6 % per year in the Congo. how many years would it take before per capita in the Congo exceeds that of the United States?
  
• A solution of IVP [1-t^(2)]d^2y/dt^2+2tdy/dt-2y=0,y(0)=3,y'(0)=-4 is y_1=t.Use the method of reduction of order to find a general solution of IVP on interval -1<t<1?
  
• Integration by completing the square. The integral of y equals to the fraction of 1 over 5x squared + 25x-10?
  
• Who's interested in a new Socratic on a different website?
  
• Thoughts on the recent announcement made about the future of the Socratic website? Share them here!
  
• Like FCF, a Functional Continued Sum (FCS) #F_(fcs)(x; a) = F(x+a (F(x + a (F(x + a(F...))))#. With binary x and y, #y = log_2(x; 1) = log_2(x + log_2(x+log_2(x+...)))#. How do you find the binary at x = (101)_2?
  
• How can Newton's first law be a consequence of Newton's second law?
  
• In what order do electrons get removed for the formation of an ion?
  
• The radius of convergent of the power series #sum_ (n=1)^oo x^n/(n*2^n)# is?
  
• Given p>0,the series of#sum_ (n=1)^oo p^n*n^p# will diverge when the values of p is?
  
• What is the oxygen content of dry air in the atmosphere?
  
• How do you use double angle formulas to calculate cos 2x and sin 2x without finding x if #cos x = 3/5# and x is in the first quadrant?
  
• If #f# is a continuous function such that #int_0^xf(t)dt=xe^(2x)# + #int_0^xe^-tf(t)dt# for all #x#, find an explicit formula for #f(x)# ?
  
• If an object went from #0.96g " to " 0.69g# would the percent change be #-28# or #-39# and why?
  
• How do you calculate cos(tan- 3/4)?
  
• What is the equation of the line normal to #f(x)=(2x^2 + 1) / x# at #x=-1#?
  
• The sum of three different numbers is 18. lf every number is a prime number, what are the three numbers?
  
• How do you show that the derivative of an odd function is even?
  
• How do you find the vertical asymptotes of f(x) = tan(πx)?
  
• What is the wave speed if the wavelength is .5 m and the frequency is 50 Hz?
  
• Evaluate the integral?
  
• How do you find the first three terms of a Maclaurin series for f(t) = (e^t - 1)/t using the Maclaurin series of e^x?
  
• A #5 L# container holds #4 # mol and #4 # mol of gasses A and B, respectively. Groups of four of molecules of gas B bind to three molecule of gas A and the reaction changes the temperature from #280^oK# to #320^oK#. By how much does the pressure change?
  
• How do i find the convergence or divergence of this series? #sum# from 1 to infinity of #1/n^lnn#
  
• How do you integrate #int 1/(x^2(2x-1))# using partial fractions?
  
• How do you solve the equation #abs(7x-1)+2=0#?
  
• How do you simplify #(sec^2x-1)/sin^2x#?
  
• Can the equation be solved ?
  
• What is the speed of sound in air?
  
• Please list out the steps to the problem?
  
• How to determine convergence or divergence of sequence an=#ln(n^2)/n# ?
  
• How do you find the instantaneous velocity at #t=2# for the position function #s(t) = t^3 +8t^2-t#?
  
• How do you solve this integral?
  
• Whats the angle between the two?
  
• How many moles of oxygen react with 6 moles of octane?
  
• How would you integrate #int_1^e 1/(x sqrt(ln^2x))dx# ?
  
• How do you integrate #int x^3 ln x^4 dx # using integration by parts?
  
• A curve is defined by parametric eqn x =t^2 + t - 1 and y = 2t^2 - t + 2 for all t . i) show that A(-1, 5_ lies on curve. ii) find dy/dx. iii) find eqn of tangent to the curve at the pt. A . ?
  
• How can I solve this differential equation? x dy/dx+y=x^2y^2
  
• Question #59af9
  
• How to solve for #inte^xcosxdx# ?
  
• What is #lim_(x->+oo) x/(1-2x)#?
  
• Question #f9641
  
• Question #15ada
  
• How do I solve this questions?
  
• How do I solve this questions?
  
• What is its velocity? What is its acceleration?
  
• Let #I=int_0^1 9/(3+x^2)^2\ dx#. Using the substitution #x=sqrt(3) tan(theta)#, show that #I= sqrt(3) int_0^(pi/6) cos^2(theta)\ d theta#. What is the exact value of #I#?
  
• Question #0debb
  
• Can you prove #0.bar9 = 1?#
  
• Question #90ab5
  
• How do you calculate #int\ ln(x)^ln(x)(1/x+ln(ln(x))/x)\ dx# ?
  
• How do you find the antiderivative of # cosx^6#?
  
• How do you evaluate #5\sum _ { p = 3} ^ { 9} ( 4p ^ { 2} - 2)#?
  
• Consider the function #f(x) = sqrt(1-x^2)# on the interval [0, -1], how do you find the average or mean slope of the function on this interval?
  
• Question #e9b24
  
• Question #ed4b8
  
• Don uses his small motorboat to go 4 miles upstream to his favorite fishing spot. Against the current, the trip takes #1/2# hour. With the current, the trip takes #1/4# hour. How fast can the boat travel in still water? What is the current's speed?
  
• Question #5a465
  
• Question #4323f
  
• Question #33e60
  
• Question #8b406
  
• How do you differentiate # g(x) = sin (arctan (x/sqrt(3))) #?
  
• Question #e5ad5
  
• Question #b2272
  
• Question #af5d0
  
• Can anybody do this?
  
• How to do this?
  
• Given that nth term of an arithmetic progression is Tn=7-2n, find a)second term b)common difference ?? Help pls!!
  
• How do you find the nth partial sum, determine whether the series converges and find the sum when it exists given #ln(1/2)+ln(2/3)+ln(3/4)+...+ln(n/(n+1))+...#?
  
• What is #int_(0)^(oo) (x-1)/(x^3+x^2)dx #?
  
• Prove that gcd(n;n+k)=gcd(n;k) ?
  
• Prove that gcd(n;n+k)=gcd(n;k) ?
  
• Question #e0971
  
• Question #4df90
  
• What is the arclength of #f(t) = (t+sqrt(lnt),t-sqrtlnt))# on #t in [1,e]#?
  
• Question #c7770
  
• When are verb agreements, and why are they important?
  
• Question #efceb
  
• How to graph #\sum_{n=0}^\oo 2x^n#?
  
• A ball with a mass of #2 kg # and velocity of #1 m/s# collides with a second ball with a mass of #7 kg# and velocity of #- 4 m/s#. If #40%# of the kinetic energy is lost, what are the final velocities of the balls?
  
• What is the distance between the following polar coordinates?: # (2,(pi)/2), (2,(17pi)/12) #
  
• Question #1b4ab
  
• What is the the value of #sqrt(6+sqrt(20))#?
  
• Question #cf9b1
  
• Question #34b6e
  
• Question #273c3
  
• Question #b3a3e
  
• Question #1188e
  
• Question #1188e
  
• How do you find #lim sqrt(3x+1)-2sqrtx# as #x->oo#?
  
• What is the derivative of #3^x#?
  
• How do you solve #f( x ) = 2^ { ( 22- x ) } - 21#?
  
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