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Find the sum upto infinite terms of the series: #1/(1*3) + 2/(1*3*5) + 3/(1*3*5*7) + 4/(1*3*5*7*9).......# Using partial fractions?

Question #b59e0

How do you graph the system of linear inequalities #4x>y# and #x<=12#?

Given a circle: C(1,2) & radius #sqrt(5)#
a) Find the perpendicular distance from center to #x + 2y 10=0#, show this line is a tangent to the circle.
b) Find the perpendicular distance from center to #x+2y 12 =0#, show the line does not meet circle?

Question #f0f5a

#7cosec theta 3 cot theta =7#,then what is the value of 7#cot theta3 cosec theta # ?

Question #55de4

Show that the equation #\sin(x)6x=0# has exactly one root...?

Question #9f2d8

Question #eab38

How do you use summation notation to write the arithmetic series #3.9+(1.9)+.1+...# for six terms?

Question #fef44

Question #039d5

Question #93493

Question #e7b81

How do you write a polynomial of least degree with roots 4 and 7.?

I need help with this cal 1 related rates question?

Find the point(s) (if any) of horizontal tangent lines for the equation #x^2+xy+y^2=6#. If none exist, why?

Question #2c197

Question #3e769

How do you graph #r=22costheta#?

How do you prove that the limit of #x^(1/2) = 2# as x approaches 1/4 using the epsilon delta proof?

Using the definition of convergence, how do you prove that the sequence #(1)^n/(n^3ln(n))# converges from n=1 to infinity?

How do you solve #log_10(a^26)>log_10a#?

A triangle has corners at points A, B, and C. Side AB has a length of #48 #. The distance between the intersection of point A's angle bisector with side BC and point B is #9 #. If side AC has a length of #36 #, what is the length of side BC?

How do you integrate by substitution #int(x^29)^3(2x)dx#?

How do you integrate #int e^x/[(e^x2)(e^(2x)+1)]dx# using partial fractions?

What is the distance between the following polar coordinates?: # (6,(7pi)/12), (3,(5pi)/8) #

How do you find all local maximum and minimum points using the second derivative test given #y=tan^2x#?

How do you prove that the limit of #(3x+2)=8 # as x approaches 2 using the epsilon delta proof?

Using the limit definition, how do you find the derivative of # f(x) = (x^21) / (2x3)#?

How do you find the equations of the tangents to #5x^24y^2=4# at those points where the curve is cut by #5x2y=4#?

A parallelogram has sides with lengths of #16 # and #15 #. If the parallelogram's area is #8 #, what is the length of its longest diagonal?

What is #f(x) = int 1/(x3)x/(x+4) dx# if #f(1)=6 #?

How do you find the area between #y=1/2x^3+2, y=x+1, x=0, x=2#?

What is the integral of #int ( sin^3(x))dx#?

Question #6c76f

Question #1fcac

How do you find the limit of # (x^3  5x^2 + 7x  3)/(x^3  x^2  5x  3)# as x approaches 3?

Two opposite sides of a parallelogram each have a length of #24 #. If one corner of the parallelogram has an angle of #( pi)/3 # and the parallelogram's area is #96 #, how long are the other two sides?

How do you find the definite integral of #(x^3+x^4(tanx))dx# from #[pi/4, pi/4]#?

How do you use the limit definition to find the slope of the tangent line to the graph #f(x)= x(sqrt(x)1) # at x=4?

A circle has a center that falls on the line #y = 6/7x +7 # and passes through # ( 7 ,8 )# and #(3 ,9 )#. What is the equation of the circle?

How do you find all points on the graph of #f(x)=sin^2x# at which the tangent line is horizontal?

How do you integrate #int ln(2x+1)# by integration by parts method?

What is the limit of #(e^t  1) / t^3# as t approaches 0?

What is the equation of the normal line of #f(x)=(1x)e^(3x)e^x# at #x=1#?

An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,4 )# to #(2 ,1 )# and the triangle's area is #18 #, what are the possible coordinates of the triangle's third corner?

Triangle A has an area of #18 # and two sides of lengths #9 # and #6 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the maximum and minimum possible areas of triangle B?

Question #084f4

Question #084f4

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

What is the net area between #f(x) = 2/(x+1)^2 # and the xaxis over #x in [1, 2 ]#?

Find b, c and d so that the quadrilateral is a parallelogram with area equal to 80 square units?

How do you find the equation of a line tangent to the function #y=x^3+6# at (1,7)?

Question #7dde7

Anna is 6 ft. tall. She is walking away from a street light that is 24 ft tall at a rate of 4 ft/sec. How fast is the length of her shadow changing?

Wha tis the sum of the first seven terms of the geometric series #3 + 12 + 48 + 192 + ...#?

Question #60f1a

How do you use Riemann sums to evaluate the area under the curve of #y = x^2 + 1# on the closed interval [0,1], with n=4 rectangles using midpoint?

Question #2b61c

How do you find the definite integral of #(x^4  1)/( x^2 + 1) dx# from 5 to 2?

How do you integrate #int (x+1)^2ln3x# by integration by parts method?

How can you easily visualize the size of the universe?

How do you write a polynomial function given the real zeroes 2,2,6i and coefficient 1?

How do you find the Limit of #ln(lnx) / x# as x approaches infinity?

Question #297e2

Find the polynomial #P(x)# with real coefficients such that #P(2)=12# and
#P(x^2)=x^2(x^2+1)P(x)# for each #x in RR#?

Given #tantheta=5/12# and #pi<theta<(3pi)/2#, how do you find #cos2theta#?

A line segment is bisected by a line with the equation # 4 y + 3 x = 4 #. If one end of the line segment is at #( 8 , 1 )#, where is the other end?

What is the equation of the normal line of #f(x)= xln(4^(1x))# at #x = 1#?

How do you integrate by substitution #int 1/sqrt(2x)dx#?

Given #f:[0,1]>RR# an integrable function such that
#int_0^1f(x)dx=int_0^1 xf(x)dx= 1# prove that #int_0^1f(x)^2dx ge 4#?

How do you find the limit of #(x5)/(x^225)# as #x>5#?

Question #29d47

How do you find the equation of the line that is tangent to #f(x)=x^3# and parallel to the line #3xy+1=0#?

How do you use the epsilon delta definition to prove that the limit of #x^3+6x^2=32# as #x>2#?

Question #ee0bc

How do you solve #(1/9)^m=81^(m+4)#?

How can you use trigonometric functions to simplify # 7 e^( ( 3 pi)/8 i ) # into a nonexponential complex number?

How do you solve #cos^2x+6cosx+4=0# in the interval [0,360]?

A triangle has corners at points A, B, and C. Side AB has a length of #24 #. The distance between the intersection of point A's angle bisector with side BC and point B is #4 #. If side AC has a length of #28 #, what is the length of side BC?

How do you find the points where the graph of the function #y=tan(x)x# has horizontal tangents?

Two circles have the following equations #(x 8 )^2+(y 2 )^2= 36 # and #(x 1 )^2+(y +5 )^2= 81 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?

How do you simplify #(10k^2+55k+75)/(20k^210k150)# and find any non permissible values?

How do you convert #sqrt3  i# to polar form?

Question #ec66c

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

How do you write 24/25 as a percent?

How do you solve #(b+8)/23=10#?