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What is a solution to the differential equation #dy/dx=sqrt(xy)sinx#?

A man repays a loan of $3250 by paying $20 in the first month and then increases the payment by $15 every month. How long will it take him to clear the loan?

How do you use the sum or difference identities to find the exact value of #tan((23pi)/12)#?

What is the equation of the line normal to # f(x)=sqrt(e^(sqrtx)# at # x=4#?

How do you find the derivative of #y=5+sinx#?

Question #ae7e8

Determine whether the series # sum_(n=1)^oo (2n^2 +3n)/sqrt(5+n^5)# is convergent or divergent. How do i tell which comparison test to use?

How do you evaluate the integral #int 1/(x^24)#?

Question #50ca2

How do you find the local max and min for #x^5 ln x#?

Question #c9fff

How do you find the limit of #sin(x^2−4)/(x−2) # as x approaches 2?

How do you find intercepts, extrema, points of inflections, asymptotes and graph #y=xsqrt(16x^2)#?

How do you integrate #int 1/(x^3 +4x) dx# using partial fractions?

How do you evaluate the integral #int dx/(2x7)#?

How do you find the power series for #f'(x)# and #int f(t)dt# from [0,x] given the function #f(x)=Sigma 1/n^2x^(2n)# from #n=[1,oo)#?

How do you determine whether the graph of #f(x)=1/(5x)x^19# is symmetric with respect to the origin?

What is the interval of convergence of #sum_1^oo [(2n)!x^n] / ((n^2)! )#?

Please explain geometric and harmonic progressions?

What are the local extrema of #f(x)= x^3x+3/x#?

How do you integrate #1/(e^x(e^x+1))# using partial fractions?

How do you find the radius of convergence #Sigma (1*4*7* * * (3n+1))/(n!)x^n# from #n=[0,oo)#?

Question #dfe82

How do you prove that the integral of ln(sin(x)) on the interval [0, pi/2] is convergent?

How do you use the epsilon delta definition to prove that the limit of #x/(6x)=1# as #x>3#?

How do you integrate #int xsqrt(3 + x^2)dx# using trigonometric substitution?

What is the equation of the tangent line of #f(x)=3/(2x+4) # at #x=1#?

Question #7bf46

How do you test the series #Sigma sqrt(n+1)sqrtn# from n is #[0,oo)# for convergence?

What is #f(x) = int 3x dx# if #f(2) = 7 #?

How do you show that the series #1+sqrt2+root3(3)+...+rootn(n)+...# diverges?

How do you determine whether the sequence #a_n=ln(ln(n))# converges, if so how do you find the limit?

How do you test the improper integral #intx^2 dx# from #(oo, oo)# and evaluate if possible?

How do you use the Maclaurin series for #f(x) = ln abs((1+x)/(1x))#?

What is the equation of the line tangent to # f(x)=1/(x^24) # at # x=1 #?

How do you factor #f(x)=x^312x^2+36x32# completely, given that (x2) is a factor?

What are the points of inflection, if any, of #f(x)=2e^(x^2) #?

Question #bbb77

How do you graph #y=(6x1)/(3x1)# using asymptotes, intercepts, end behavior?

How do you find an equation of the tangent line to the curve #y=(2x)/(x+1)# at the point (1,1)?

How do you test the series #Sigma 1/(ln(n!))# from n is #[2,oo)# for convergence?

How do you simplify #sin 2x times sin7x#?

How do you find MacLaurin's Formula for #f(x)=sin(2x)# and use it to approximate #f(1/2)# within 0.01?

Two opposite sides of a parallelogram each have a length of #1 #. If one corner of the parallelogram has an angle of #(3 pi)/4 # and the parallelogram's area is # 4 #, how long are the other two sides?

Which curve is this? Analytical geometry

How do you evaluate #\int \frac { 1} { x ^ { 2} + y ^ { 2} }#?

How do you use the first and second derivatives to sketch #y = x  ln x#?

How do you apply the ratio test to determine if #Sigma 1/(ln(lnn))^n# from #n=[3,oo)# is convergent to divergent?

How do you find #lim (10x^2+x+2)/(x^34x^21)# as #x>oo#?

How do you use the integral test to determine if #Sigma n^ke^n# from #[1,oo)# where k is an integer is convergent or divergent?

A minimum value of a sinusoidal Function is at #(pi/4, 3)#. The nearest maximum value to the right of this point is at #((7pi)/12, 7)#. What is the equation of this function?

What is the domain of #f(x) = arcsin(1x^2)#?

What is #f(x) = int xsqrt(3x) dx# if #f(3) = 0 #?

How do you find the positive values of p for which #Sigma lnn/n^p# from #[2,oo)# converges?

How do you sketch the curve #y=x^33x^29x+5# by finding local maximum, minimum, inflection points, asymptotes, and intercepts?

Question #89694

How do you find the center and radius of the circle given #3x^2+3y^2+12x6y+9=0#?

Given #tantheta=5/12# and #(3pi)/2<theta<2pi#, how do you find #tan(theta/2)#?

What is the domain and range of #y =arccos(sin(2x))#?

What is the derivative of #1/(sin(x)^2)#?

How do you evaluate the limit #(x^410)/(4x^3+x)# as x approaches #oo#?

What is the area below the curve #f(x)=x^3 4x^2 +2x+ 8# and bounded by the yaxis, the x axis and x=3 expressed as an integral?

How to find the sum of the series #sum_"n=0"^oo(z^(4n)/((4n)!))# when z < 1 ?

Question #2f21a

What are the critical points of #g(x)=x/3 + x^2/3#?

How do you integrate #int xsin2x# by parts from #[0,pi]#?

How do you integrate #int (root3x)#?

Question #95baf

What is the equation of the line normal to #f(x)=6x^38# at #x=7#?

Question #7bdf4

Find the roots of #z^5+1=0#?

Find the derivative using first principles? : #sin sqrt(x)#

How do you determine the convergence or divergence of #Sigma 1/ncosnpi# from #[1,oo)#?

Question #804a1

How do you use the limit comparison test to determine if #Sigma 1/(n(n^2+1))# from #[1,oo)# is convergent or divergent?

Question #36d91

How do you use the limit definition to find the derivative of #f(x)=(2x)/(3x+1)#?

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