Answers edited by Steve M
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What is the antiderivative of #Cos(2x)Sin(x)dx#?
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How do I teach myself calculus?
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How do you find the limit of #(1/(x-1)+1/(x^2-3x+2))# as #x->1#?
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How do you find the cross product and verify that the resulting vectors are perpendicular to the given vectors #<3,2,0>times<1,4,0>#?
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How do I know if two vectors are equal?
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How do you integrate #int e^(3x)cos(2x)# by integration by parts method?
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If #abs(x-2)<6#, then what are the bounds of #x#? i.e. find #a# and #b# such that #a<x<b#.
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Find the limit... ?
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Use Newton's method to find the coordinates of the inflection point of the curve?
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How do you find the nth term of the sequence #2,5,10,17,26,37,...#?
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How do you find #F'(x)# given #F(x)=int 1/t dt# from #[1,x^2]#?
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#int_0^x (t^2 -6t+8) dt# where x belongs to all real number [0,infinity). Find the intervals where the function is decreasing?
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How do you find the x values at which #f(x)=abs(x-3)/(x-3)# is not continuous, which of the discontinuities are removable?
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Can you use a calculator to differentiate #f(x) = 3x^2 + 12#?
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Let #f_n(x) = sum_(r=1)^n \ sin^2(x)/(cos^2(x/2)-cos^2(( (2r+1)x)/2) ) # and #g_n(x) = prod_(k=1)^n f_k(x) #. If #I_n=int_0^pi (f_n(x))/(g_n(x)) dx # show that #sum_(k=1)^n I_k = Kpi#, and find #K#?
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Solve the equation # sinx \ cosx = sqrt(2)/4 # for #0 le x le 2pi #?
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How do you find #f^37x# given #f(x)=cos3x#?
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How do you differentiate #tanx+tany=1#?
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How do you evaluate the integral #int (xdx)/(x^2+4x+5)#?
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How do you write an equation of the line tangent to #x^2+y^2-6x-8y=0# at the point (0,0)?
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Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. What is the probability P (X > 42)?
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How do you evaluate the definite integral by the limit definition given #int (1-absx)dx# from [-1,1]?
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How do you find the derivative of # y=14tanxcosx+10cscx#?
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How do you use implicit differentiation to find dy/dx given #ln(x-2)=ln(2y+1)#?
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How do I prove that this limit is equal to 1 in a formal way ? (without using l'hospital rule)
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How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y =x^3#, y= 8 , x= 0 revolved about the x-axis?
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How do you evaluate #abs0#?
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How do you find the area using the trapezoidal approximation method, given #sinpi*x dx#, on the interval [2, 5] with n=25?
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How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #125 y = x^3# , y = 8 , x = 0 revolved about the x-axis?
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How do you find the radius of convergence #Sigma x^n/3^n# from #n=[0,oo)#?
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For what values of x, if any, does #f(x) = 1/((x^2-4)cos(pi/2+(7pi)/x) # have vertical asymptotes?
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How do you find all solutions of the differential equation #dy/dx=xe^y#?
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How do you make the graph for #y=ln(1+x/(ln(1-x)))#?
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Integrate #int (xe^(2x))/(2x+1)^2 dx#. I'm having difficulty integration it second time(integration by parts)?
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How do you find the angle between the vectors #u=3i+4j# and #v=-2j#?
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How do you find #(df)/dy# and #(df)/dx# of #f(x,y)=(3x^2-2e^-y)/(2e^x+y^-3)#, using the quotient rule?
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Evaluate the following, #int_0^1 (x^e +e^x) dx#. I know the anti-derivative of x^e is #x^(e+1)/(e+1)#. How would i solve this,would i use F(b) +F(a)?
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How do you make the graph for #y=ln(1+x/(ln(1-x)))#?
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How do you write the vector equation that passes through point (-1,4) and parallel to <6,-10>?
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How do you find the exact value of the area in the first quadrant enclosed by graph of y=sinx and y=cosx?
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What is the antiderivative of the natural logarithm of x?
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How do you evaluate the limit #lim e^t/t# as #t->oo#?
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How do you implicitly differentiate #2=e^(xy)-ln(x^3y)+siny #?
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What are the mean and standard deviation of the probability density function given by #p(x)=ke^-x # for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across all x is equal to 1?
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How do you find the first two nonzero terms in Maclaurin's Formula and use it to approximate #f(1/3)# given #f(x)=int_0^x sin(t^2) dt# ?
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Prove that #(not(p rarr q) ^^ (p harr notq)) harr ((p ^^ notq)) #?
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How do you find the area using the trapezoidal approximation method, given #(5t + 6) dt #, on the interval [3, 6] with n=4?
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How do you find the volume of the solid in the first octant, which is bounded by the coordinate planes, the cylinder #x^2+y^2=9#, and the plane x+z=9?
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How do you find the angle between the vectors #u=<1,0># and #v=<0,-2>#?
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How do you find the set of parametric equations for the line in 3D described by the general equations x-y-z=-4 and x+y-5z=-12?
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How do you find the derivative of #y = x^(cos x)#?
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What are the solutions of the equation e^1-10x = 7?
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How do you find the average value of #x^3# as x varies between -1 and 2?
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Question #a6851
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What is a solution to the differential equation #xydy/dx-lnx=0# with y(1)=0?
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Question #05cf9
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How do you find a parametric equation for a particle moving twice counter-clockwise around the circle #(x-2)^2 + (y+1)^2 = 9# starting at (-1,-1)?
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How do you find the particular solution to #dP-kPdt=0# that satisfies #P(0)=P_0#?
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An object with a mass of #7 kg# is on a ramp at an incline of #pi/8 #. If the object is being pushed up the ramp with a force of # 2 N#, what is the minimum coefficient of static friction needed for the object to remain put?
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How do you find the derivative of #G(x)=int (tan(t^2))dt# from #[1,x]#?
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An open top box is to have a rectangular base for which the length is 5 times the width and a volume of 10 cubic feet. It's five sides are to have as small a total surface area as possible. What are the sides?
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What is an equilibrium solution to a differential equation?
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How do you find #lim (x^3+4x+8)/(2x^3-2)# as #x->1^+# using l'Hospital's Rule or otherwise?
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What is the instantaneous velocity of an object moving in accordance to # f(t)= (sqrt(t+2),t+4) # at # t=1 #?
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For the nonhomogeneous equation, using the method of undetermined coefficients, the solution I got for #(d^2y)/(dx^2) - 5(dy)/(dx) + 6y = xe^x# is #y = (xe^x)/2 + (3e^x)/4#, but along the way I got two solutions for #A_1#?
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How do you find the inner product and state whether the vectors are perpendicular given #<-2,4,8>*<16,4,2>#?
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Question #b9993
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An object with a mass of #8 kg# is on a plane with an incline of # - pi/12 #. If it takes #12 N# to start pushing the object down the plane and #5 N# to keep pushing it, what are the coefficients of static and kinetic friction?
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Question #f2c8b
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What is the surface area of the solid created by revolving #f(x) = x^2-3x+2 , x in [3,4]# around the x axis?
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What is the derivative of # d/dx (x+cosx ÷ tanx )#?
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An object with a mass of #8 kg# is on a plane with an incline of # - pi/6 #. If it takes #9 N# to start pushing the object down the plane and #2 N# to keep pushing it, what are the coefficients of static and kinetic friction?
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How do you find the derivative with respect to x of #f(x)=x^2# and use it to find the equation of the tangent line to #y=x^2# at x=2?
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What is the surface area produced by rotating #f(x)=1-x, x in [0,3]# around the x-axis?
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Find the derivative using first principles? : #sin sqrt(x)#
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Prove that for all #x,y in RR#, if #x# is rational and #y# is irrational, then #x+y# is irrational?
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How do you find the derivative of #f(x)=x^3-12x# using the limit process?
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An object with a mass of #5 kg# is on a plane with an incline of # - pi/8 #. If it takes #8 N# to start pushing the object down the plane and #3 N# to keep pushing it, what are the coefficients of static and kinetic friction?
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How do you find the second derivative of #y=Asin(Bx)#?
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How do you find the intervals of increasing and decreasing using the first derivative given #y=5-abs(x-5)#?
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Prove that #if u# is an odd integer, then the equation #x^2+x-u=0# has no solution that is an integer?
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How do you graph #y<-4# on the coordinate plane?
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A conical paper cup is 10 cm tall with a radius of 30 cm. The cup is being filled with water so that the water level rises at a rate of 2 cm/sec. At what rate is water being poured into the cup when the water level is 9 cm?
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How do you find the limit #lnx/sqrtx# as #x->oo#?
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