Answers created by Alberto P.
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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?
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Question #b59e0
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How do you graph the system of linear inequalities 4x>y and x<=12?
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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?
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Question #f0f5a
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7cosec theta -3 cot theta =7,then what is the value of 7cot theta-3 cosec theta ?
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Question #55de4
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Show that the equation \sin(x)-6x=0 has exactly one root...?
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Question #9f2d8
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Question #eab38
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How do you use summation notation to write the arithmetic series -3.9+(-1.9)+.1+... for six terms?
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Question #fef44
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Question #039d5
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Question #93493
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Question #e7b81
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How do you write a polynomial of least degree with roots 4 and -7.?
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I need help with this cal 1 related rates question?
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Find the point(s) (if any) of horizontal tangent lines for the equation x^2+xy+y^2=6. If none exist, why?
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Question #2c197
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Question #3e769
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How do you graph r=2-2costheta?
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How do you prove that the limit of x^(-1/2) = 2 as x approaches 1/4 using the epsilon delta proof?
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Using the definition of convergence, how do you prove that the sequence (-1)^n/(n^3-ln(n)) converges from n=1 to infinity?
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How do you solve log_10(a^2-6)>log_10a?
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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?
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How do you integrate by substitution int(x^2-9)^3(2x)dx?
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How do you integrate int e^x/[(e^x-2)(e^(2x)+1)]dx using partial fractions?
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What is the distance between the following polar coordinates?: (6,(7pi)/12), (3,(-5pi)/8)
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How do you find all local maximum and minimum points using the second derivative test given y=tan^2x?
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How do you prove that the limit of (3x+2)=8 as x approaches 2 using the epsilon delta proof?
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Using the limit definition, how do you find the derivative of f(x) = (x^2-1) / (2x-3)?
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How do you find the equations of the tangents to 5x^2-4y^2=4 at those points where the curve is cut by 5x-2y=4?
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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?
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What is f(x) = int 1/(x-3)-x/(x+4) dx if f(-1)=6 ?
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How do you find the area between y=1/2x^3+2, y=x+1, x=0, x=2?
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What is the integral of int ( sin^3(x))dx?
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Question #6c76f
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Question #1fcac
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How do you find the limit of (x^3 - 5x^2 + 7x - 3)/(x^3 - x^2 - 5x - 3) as x approaches 3?
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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?
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How do you find the definite integral of (x^3+x^4(tanx))dx from [-pi/4, pi/4]?
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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?
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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?
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How do you find all points on the graph of f(x)=sin^2x at which the tangent line is horizontal?
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How do you integrate int ln(2x+1) by integration by parts method?
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What is the limit of (e^t - 1) / t^3 as t approaches 0?
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What is the equation of the normal line of f(x)=(1-x)e^(3x)-e^x at x=1?
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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?
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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?
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Question #084f4
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Question #084f4
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How do you minimize and maximize f(x,y)=x/y-xy constrained to 0<x-y<1?
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What is the net area between f(x) = 2/(x+1)^2 and the x-axis over x in [1, 2 ]?
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Find b, c and d so that the quadrilateral is a parallelogram with area equal to 80 square units?
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How do you find the equation of a line tangent to the function y=x^3+6 at (1,7)?
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Question #7dde7
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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?
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Wha tis the sum of the first seven terms of the geometric series 3 + 12 + 48 + 192 + ...?
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Question #60f1a
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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?
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Question #2b61c
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How do you find the definite integral of (x^4 - 1)/( x^2 + 1) dx from -5 to -2?
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How do you integrate int (x+1)^2ln3x by integration by parts method?
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How can you easily visualize the size of the universe?
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How do you write a polynomial function given the real zeroes 2,-2,-6i and coefficient 1?
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How do you find the Limit of ln(lnx) / x as x approaches infinity?
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Question #297e2
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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?
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Given tantheta=5/12 and pi<theta<(3pi)/2, how do you find cos2theta?
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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?
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What is the equation of the normal line of f(x)= -xln(4^(1-x)) at x = 1?
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How do you integrate by substitution int 1/sqrt(2x)dx?
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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?
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How do you find the limit of (x-5)/(x^2-25) as x->5?
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Question #29d47
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How do you find the equation of the line that is tangent to f(x)=x^3 and parallel to the line 3x-y+1=0?
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How do you use the epsilon delta definition to prove that the limit of x^3+6x^2=32 as x->2?
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Question #ee0bc
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How do you solve (1/9)^m=81^(m+4)?
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How can you use trigonometric functions to simplify 7 e^( ( 3 pi)/8 i ) into a non-exponential complex number?
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How do you solve cos^2x+6cosx+4=0 in the interval [0,360]?
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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?
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How do you find the points where the graph of the function y=tan(x)-x has horizontal tangents?
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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?
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How do you simplify (10k^2+55k+75)/(20k^2-10k-150) and find any non permissible values?
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How do you convert sqrt3 - i to polar form?
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Question #ec66c
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How do you use the limit definition of the derivative to find the derivative of f(x)=3x^2+3x+3?
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How do you write 24/25 as a percent?
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How do you solve (b+8)/23=-10?