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Calculate #sum_{n=0}^{infty}n^3((x+1)/2)^n# ?

How do you minimize and maximize #f(x,y)=x^2+y^3# constrained to #0<x+3xy<4#?

How do you find a unit vector u in the same direction as the vector ⟨1,−2,−3⟩?

How can you use a truth table to prove that #((~p vv q) ^^ p) vv q# is equivalent to #q# ?

How do you minimize and maximize #f(x,y)=x^2yxy# constrained to #3<x+y<5#?

#i ^i = # ?

How do i determine the distance between #x^2+y^2z^2=1# and the point #P(1,3,1)# ?

What is the equation of the line normal to # f(x)=lnxx# at # x=2#?

A triangle has sides with lengths of 6, 4, and 3. What is the radius of the triangles inscribed circle?

How do you integrate #int 1/(x^2+x+1)# using partial fractions?

How do you find the vertical, horizontal or slant asymptotes for #y=(2x^23x+4)/(x+2)#?

How do you find the radius of the circle #x^2 + y^2  4x + 6y  12 = 0#?

How do you simplify # [(3+2i)^ 3 / (2+3i)^4] #?

How do you solve #2^(x)  2^(x) = 5#?

How do you solve #log_(1/3) (x^2 + 4x)  log_(1/3) (x^3  x) = 1#?

How do you find the linearization at (2,9) of #f(x,y) = xsqrty#?

If the roots of the equation #ax^2+2bx+c=0# are real and distinct then find the nature of the roots of the equation #(a+c)(ax^2+2bx+c) = 2(ac  b^2)(x^2+1)#?

The perimeter of a triangle is 60 cm. it's height is 17.3. what is its area?

Using the integral test, how do you show whether #sum 1 / [sqrt(n) * (sqrt(n) + 1)]# diverges or converges from n=1 to infinity?

How will you prove the formula
#sin(AB)=sinAcosBcosAsinB# using formula of scalar product of two vectors?

How do you find the volume of the solid formed by rotating the region enclosed by ?

#P(x)# is a polynomial function.
If #P(x^2) = (ab+2)x^3  2x^2 + (2a+b+7)x  20# ,
what is #P(a+b)# ?

How do you solve #(x1)^[log(x1)]=100(x1)#?

Question #63619

What is the equation for the line of symmetry for the graph of the function #y=4x^2+6x8#?

If#" "veca=3hati+4hatj+5hatk and vec b= 2hati+hatj4hatk# ;How will you find out the component of #" "veca " ""perpendicular to" " " vecb#?

How do you find a power series representation for #(x2)^n/(n^2) # and what is the radius of convergence?

How do you implicitly differentiate #2(x^2+y^2)/x = 3(x^2y^2)/y#?

The recursive sequence is defined by the formula #t_n=2t_(n1)+3#; and #t_1=2#, how do you find #t_6#?

What is the interval of convergence of #sum_1^oo (2^k)/k (x1)^k
#?

Solve the following system of equations:
#(x^2+y^2=29),(xy=10)#
?

Do #f(x) = 6 – 10x^2# and #g(x) = 8 – (x – 2)^2 # share any tangent lines?

For what r does #3/(n^(2r  3))3/n# converge or diverge?

How do you find the limit of #( e^(3t)  1 ) / t# as x approaches 0?

How do you minimize and maximize #f(x,y)=xe^xy# constrained to #0<xy<1#?

How do you find the volume of a solid where #x^2+y^2+z^2=9# is bounded in between the two planes #z+2x=2# and #z+2x=3#?

Find the maximum possible total surface area of a cylinder inscribed in a hemisphere of radius 1?

What are the asymptotes for #(x^2  2x  3 )/(4x) #?

How do you convert #r=6sin(theta)# to rectangular form?

How do you find the measure of each exterior angle of a regular 11gon?

Two forces #vecF_1=hati+5hatj and vecF_2=3hati2hatj# act at points with two position vectors respectively # hati and 3hati +14hatj# How will you find out the position vector of the point at which the forces meet?

If#""f^2(x)+g^2(x)+h^2(x)<=9#
and #u_x=3f(x)+4g(x)+10h(x)#,
again #(u_x)_"max"=sqrtn,"where"" "ninN#
then what is the value of n?

Advanced Quadratic drag  How to solve?

Solve for equilibrium ?

How do you solve # x+2 + 2x4 = x3 #?

Question #120b5

Determine the sum of the series
1, 1/2, 1/4, 1/8 .......... t(14)?

Is #f(x)=x^521x^42x^3+4x30# concave or convex at #x=0#?

How do you express #1/ (x^4 +1)# in partial fractions?

How do you find all the real and complex roots of #x^3+x^2+x+2#?

Does #sum_{n=2} 1 / (1 + n ( Ln(n) )^2)# converges or diverges from n=2 to infinity?

How do you divide #(x ^ 10 + x ^ 8) / (x  1)#?

How do you identify the following equation #(x  1)^2 + y^2/25 = 1# as a circle, parabola, ellipse or hyperbola?

How do I find the points on the ellipse #4x^2 + y^2 = 4# that are furthest from #(1, 0)#?

How do you solve #sqrt(20X) + 8= sqrt( 9X) +11#?

What is the sum of the exterior angle measures for an irregular convex octagon?

A parallelogram has sides with lengths of #14 # and #8 #. If the parallelogram's area is #84 #, what is the length of its longest diagonal?

How do you find vertical, horizontal and oblique asymptotes for #x^3/(x^24)#?

What is a solution to the differential equation #(x+1)y'2(x^2+x)y=e^(x^2)/(x+1)# where x>1 and y(0)=5?

How do you find the linear approximation L to f at the designated point P. compare the error in approximating f by L at the specified point Q with the distance between P and Q given #f(x,y) = 1/sqrt(x^2+y^2)#, P(4,3) and Q(3.92, 3.01)?

How do you minimize and maximize #f(x,y)=(x2)^2/9+(y3)^2/36# constrained to #0<xy^2<5#?

A superball that rebounds 3/10 of the height from which it fell on each bounce is dropped from 38 meters. ?

Circle in polar coordinates ?

Question #71203

How do you implicitly differentiate #11=(x)/(1ye^x)#?

A circle has a center that falls on the line #y = 3/7x +1 # and passes through # ( 2 ,1 )# and #(3 ,5 )#. What is the equation of the circle?

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