Answers created by Andrew I.
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How do you integrate #int ((3+lnx)^2(2-lnx))/(4x)# using substitution?
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How do you integrate #ln(t+1)#?
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Question #bdbc2
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How do you find the domain and range of #f(t)=-11/sqrtt#?
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How do you simplify #sqrt(165)#?
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How do you find the derivative of #h(x)= 1/(6x^2+x+1)^2#?
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What is the equation of the tangent line of #f(x)=sin x + sin^2 x# at #x=0#?
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How do you integrate #int sin^2(x/5)*cos^3(x/5)#?
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A model train with a mass of #5 kg# is moving along a track at #4 (cm)/s#. If the curvature of the track changes from a radius of #16 cm# to #2 cm#, by how much must the centripetal force applied by the tracks change?
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How do you factor #8x² − 72 #?
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What is the antiderivative of #e^(sinx)*cosx#?
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How do you evaluate the definite integral #int (dx/(xsqrt(lnx)))# from #[1, e^6]#?
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Using the limit definition, how do you differentiate #f(x)=x^2-4x+23#?
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What is 68% of 118 tons?
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How do you simplify #sqrt(6)/(4+sqrt(2))#?
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Is #x=30# a solution to the equation #170 + x = 200#?
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How do you implicitly differentiate #5y^2=e^(xy)-3x #?
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What is the net area between #f(x) = 2/(x+3) # and the x-axis over #x in [1, 2 ]#?
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How do you find the limit of #(e^x + x)^(1/X)# as x approaches infinity?
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How do you find the vertex and intercepts for # f(x)= x^2 + 3#?
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How do you factor the trinomial #2x^2+20x+50#?
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A model train, with a mass of #2 kg#, is moving on a circular track with a radius of #4 m#. If the train's kinetic energy changes from #16 j# to #0 j#, by how much will the centripetal force applied by the tracks change by?
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What is the integral of #(x^2 +2x-1)/(x^2+9)#?
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How do you integrate #int 1/sqrt(9x^2-18x+18) # using trigonometric substitution?
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How do you integrate #int (4x)/sqrt(x^2-14x+45)dx# using trigonometric substitution?
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How do you simplify #(2 + i)(3 - 5i)#?
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What is the antiderivative of #int (1/y^3 - 2/sqrty )dy#?
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What is the probability of of randomly selecting a blue sock from an unorganized sock drawer if the odds in favor of not picking a blue sock are 3 to 7?
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What is the limit of #sqrt(10x^2 -7x +6)/(5x + 8)# as x approaches infinity?
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What is the equation of the normal line of #f(x)=x/lnx# at #x=4 #?
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Hurricane Katrina dropped about 14 inches of rain over a 48 hour period. How much rain is that in inches per hour?
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What is the prime factorization of 230?
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How do you solve #Cos^2 x - 1/2 = 0# over the interval 0 to 2pi?
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The 5th term of a geometric sequence is 45 and the 8th term is 360. How do you determine the 20th term?
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How do you solve #2^(x) - 2^(-x) = 5#?
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How do you differentiate #f(x)=cot(1/e^x) # using the chain rule?
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How do you integrate #int 1/sqrt(9x^2-18x+13) # using trigonometric substitution?
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How do you write the Taylor series for #f(x)=coshx#?
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What is #int 1/(1+4x^2) dx#?
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Question #7119b
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How do you prove #(cos^2x + tan^2x ) / (cos^2x + sin^2x )-1= 0#?
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How do you integrate #int cos theta * cos^5(sin theta) #?
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How do you determine if the equation #y=400(1.03)^x# represents exponential growth or decay?
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How do you simplify #8/(2c^-3)#?
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What is #int (cos(1/t))/(t^2)dt #?
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How do you find the limit of #(x+sin x ) / ( 3x + cosx )# as x approaches infinity using l'hospital's rule?
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What is the kinetic energy of a #9 kg# object moving at #7/4 m/s#?
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What is the equation of the line that is normal to #f(x)= xe^sqrtx # at # x= 2 #?
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For what values of x, if any, does #f(x) = 1/((x-9)(x-1)(x-5)) # have vertical asymptotes?
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What is the average value of the function #f(x) = 3/x# on the interval #[1,2e]#?
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What are complex numbers ?and explain me how to do the four arithmetical operations with them.
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Question #cc02e
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A charge of #40 C# passes through a circuit every #8 s#. If the circuit can generate #42 W# of power, what is the circuit's resistance?
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How do you find the derivative of #y=sin^-1x#?
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How do you solve #-2(m-30)=-6m#?
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How do you simplify #sqrt (27 / 64)#?
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How do you simplify #(5sqrt10)/sqrt2#?
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How do you find the x and y intercepts for #x + y = 1#?
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How do you express #sin^4theta-cos^3theta # in terms of non-exponential trigonometric functions?
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How do you simplify #(16/25)^(3/2)#?
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How do you solve the following system?: #-6x -3y =1, -2x +4y = -5#
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The sum of two consecutive odd integers is 124, what are the integers?
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How do you integrate #int x^3 /sqrt(4 - 2x^2) dx# using trigonometric substitution?
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For what values of x, if any, does #f(x) = 1/((x-2)(x+2)(e^x-3)) # have vertical asymptotes?
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How do you differentiate the following parametric equation: # x(t)=t-lnt, y(t)= cost-sint #?
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How do you graph #y=x^2+6x+9#?
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How much work would it take to push a # 2 kg # weight up a # 4 m # plane that is at an incline of # (5pi) / 12 #?
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If a current of #1 A# passing through a circuit generates #9 W# of power, what is the resistance of the circuit?
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How do you integrate #int (5x+12)/(x^2+5x+6)# using partial fractions?
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What is the antiderivative of #2/(x^2+1)#?
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What is the equation of the line that is normal to #f(x)= (2-x)- sqrt( 2x+2) # at # x=1 #?
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What is the net area between #f(x) = x^2-xln(x^2-1) # and the x-axis over #x in [2, 4 ]#?
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How do you solve the following system: # 5x+y=-7 , 12x-9y=-3
#?
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How do you simplify #(4-sqrt3)(12+5sqrt3)#?
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What is #lim x->1# of #sin(pix)/(x-1)#?
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What is #int cos^2(4x)dx #?
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Is #f(x)=cotx-e^xtanx# increasing or decreasing at #x=pi/6#?
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Using the integral test, how do you show whether #sum (1/e^k)# diverges or converges?
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What is the integral of #int cos(x)sin(sin(x))dx#?
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What is the equation of the line normal to # f(x)=sqrt(x)-e^(sqrtx)# at # x=1#?
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For what values of x, if any, does #f(x) = 1/(x^2-4x+4) # have vertical asymptotes?
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How do you differentiate #f(x)=csc(ln(1-x^2)) # using the chain rule?
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How do you differentiate #f(x)= 7xsinx# using the product rule?
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How do you differentiate #-1=xy^3-x^2y#?
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How do you find the asymptotes for #f(x) = (x^2 - 3x)/(x^2 + 1)#?
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How do you solve the following system: #2x-y/2=4, 5x+2y=12
#?
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If you push a 20-kilogram mass with a force of 40 N, what will be the object's acceleration?
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How do you find the derivative of # arcsin(1/x)#?
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What is the net area between #f(x) = x^3+6/x # and the x-axis over #x in [2, 4 ]#?
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What is #f(x) = int (x-2)/((x+2)(x-3) ) dx# if #f(2)=-1 #?