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How do you solve #x^4sqrt(3)x^2+1= 0# ?

An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(5 ,1 )# to #(3 ,2 )# and the triangle's area is #12 #, what are the possible coordinates of the triangle's third corner?

The shorter leg of a 306090 triangle is 4.3 feet long. What is the perimeter?

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

A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #2 # and #7 # and the pyramid's height is #7 #. If one of the base's corners has an angle of #(5pi)/6#, what is the pyramid's surface area?

A line segment is bisected by a line with the equation # 7 y + 3 x = 2 #. If one end of the line segment is at #( 2 , 4 )#, where is the other end?

How do you find the determinant of #((2, 11, 3, 1), (1, 5, 7, 4), (6, 13, 5, 2), (4, 22, 6, 2))#?

How do you find the determinant of #((3, 1, 2, 1), (1, 1, 3, 2), (2, 0, 2, 3), (3, 3, 1, 3)) # ?

How do you find the determinant of #((5, 6, 0, 0), ( 0, 1, 1, 2), (3, 4, 5, 1), (1, 6, 0, 3))#?

How do you find the determinant of #((5, 3, 1, 2), (0, 1, 1, 3), (2, 7, 4, 1), (3, 3, 5, 2))#?

How do you find the determinant of #((2, 5, 3, 1), (3, 0, 1, 3), (6, 0, 4, 9), ( 4, 10, 4, 1))#?

How do you find the determinant of #((3, 4, 5, 2), (1, 0, 1, 0), (, 2, 3, 6, 3), (, 7, 2, 9, 4))#?

How do you find the determinant of #((2, 0, 1, 3), (1, 1, 0, 2), (0, 3, 2, 4), (4, 1, 1, 0))#?

How do you find the determinant of #((44, 32, 18, 6), (2, 10, 15, 5), (21, 12, 12, 4), (8, 16, 4, 9))#?

How do you find the determinant of #((5, 3, 2, 8), (0, 0, 4, 0), (2, 8, 3, 1), (0, 7, 4, 2))#?

How do you find the determinant of #((2, 5, 3, 1), (3, 0, 1, 3), (4, 5, 7, 8), (4, 10, 4, 1))#?

How do you find the determinant of #((7, 0, 0, 3), (5, 5, 0, 0), (0, 5, 0, 0), (9, 4, 5, 2))#?

How do you find the determinant of #((5, 7, 1, 1, 0, 0), (2, 2, 1, 3, 1, 0), (3, 4, 1, 2, 1, 2), (2, 9, 3, 0, 0, 0), (0, 1, 4, 0, 0, 0), (0, 0, 1, 0, 0, 0))#?

Question #45dfa

Representatives of every Allied nation except which country attended the peace conference in Paris?

How do I solve 'log(base 10) 5' without using the calculator?

How do you simplify the expression #(sqrt13+sqrt11)(sqrt13sqrt11)#?

Question #dc275

Question #49d42

How do you simplify #Cos(sin^1 u + cos^1 v)#?

What is the logarithm of .0856?

What is the arclength of #f(x)=23x # in the interval #[2,1]#?

What is the arclength of #f(x)=1/e^(3x)# on #x in [1,2]#?

How do you calculate # log_32 64#?

What is the equation of the perpendicular bisector of a chord of a circle?

Question #97ac0

Two circles have the following equations: #(x +6 )^2+(y 5 )^2= 64 # and #(x 9 )^2+(y +4 )^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?

Question #97ac0

What is the arc length of #f(x)=((4x^5)/5) + (1/(48x^3))  1 # on #x in [1,2]#?

What is the arc length of the curve given by #f(x)=x^(3/2)# in the interval #x in [0,3]#?

What is the arclength of #f(x)=[4x^2–2ln(x)] /8# in the interval #[1,e^3]#?

What is the arclength of #f(x)=sqrt(x+3)# on #x in [1,3]#?

What is the arc length of #f(x) = ln(x^2) # on #x in [1,3] #?

How do you find the determinant of #((7, 2, 8, 4, 6), (3, 1, 4, 2, 3), (6, 2, 2, 4, 7), (1, 3, 7, 5, 1), (2, 2, 3, 4, 7))#?

How do you evaluate #arctan((arctan(9/7)  arctan(7/6)) / (arctan(5/3)  arctan(3/2)))#?

What is the arc length of #f(x)= sqrt(x1) # on #x in [1,2] #?

Why was transportation on the Nile easy for trade and unification?

A circle has a center that falls on the line #y = 8/9x +4 # and passes through # ( 4 ,1 )# and #(3 ,7 )#. What is the equation of the circle?

What is the orthocenter of a triangle with corners at #(1 ,3 )#, #(5 ,7 )#, and (9 ,8 )#?

What is #lim_(nrarroo)(1)^(n1)sin(pisqrt(n^2+0.5n+1))# ?

What is the balance if $20,000 is invested at an annual rate of 7.8 percent for 5 years, compounded continuously. How long will it take for the original amount to double in size?

How do you evaluate the integral of #int abssinx dx# from 0 to 3pi/2?

What is #int_oo^oo (e^x)/((e^(2x))+3)
dx#?

How do you find the volume of the solid generated by revolving the region bounded by the curves y = x^(1/2), y = 2, and x = 0 rotated about the x=1?

The base of a triangular pyramid is a triangle with corners at #(6 ,7 )#, #(4 ,5 )#, and #(8 ,4 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?

How do you integrate #int x / sqrt(x^2+4x) dx# using trigonometric substitution?

How do you integrate #int 3 * (csc(t))^2/cot(t) dt#?

A parallelogram has sides with lengths of #14 # and #9 #. If the parallelogram's area is #63 #, what is the length of its longest diagonal?

A line passes through #(3 ,6 )# and #(6 ,5 )#. A second line passes through #(4 ,3 )#. What is one other point that the second line may pass through if it is parallel to the first line?

A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #33 # and the height of the cylinder is #14 #. If the volume of the solid is #2750 pi#, what is the area of the base of the cylinder?

A triangle has corners at points A, B, and C. Side AB has a length of #35 #. The distance between the intersection of point A's angle bisector with side BC and point B is #14 #. If side AC has a length of #36 #, what is the length of side BC?

What is the arc length of #f(x)= lnx # on #x in [1,3] #?

What is #f(x) = int (x^22x)(e^xsinx) dx# if #f(1 ) = 2 #?

How do I evaluate cos(pi/10) without using a calculator?

A factory produces bicycles at a rate of 80+0.5t^20.7t bicycles per week (t
in weeks). How many bicycles were produced from day 15 to 28?

How do you find the average rate of change of #f(x)=2x^2+2# from 4 to 6?

What is the 8th term of the geometric sequence if #a_3 = 108# and #a_5 = 972#?

How do you write a polynomial function of least degree with integral coefficients that has the given zeroes 1 + 2i, 1 i?

Question #028d7

What is #int (2x^33x^24x3 ) / (6x^2+ 3 x 4 )dx#?

How do you evaluate the integral of #int ( (2x^4 + 5x^3 + 17x^2  42x + 19) / (x^3 + 2x^2 + 5x  26) ) dx#?

How do you integrate #int (x^3 + 2x  1) / (2x^2  3x  2)# using partial fractions?

How do you integrate #int (1x^2)/((x9)(x5)(x+2))dx # using partial fractions?

How do you write the expression #(sqrt(2)  i)^6# in the standard form a + bi?

Question #a9735

How do you solve #4r + 5s  3t = 9#, #6r  3s + 1t = 67#, #2r + 0s + 1t = 22#?

How do you integrate #int x^2 e^(4x) dx # using integration by parts?

The base of a triangular pyramid is a triangle with corners at #(7 ,6 )#, #(4 ,1 )#, and #(3 ,2 )#. If the pyramid has a height of #7 #, what is the pyramid's volume?

How do you find all the zeros of #P(x)=x^4+6x^2+9#?

An ellipsoid has radii with lengths of #6 #, #7 #, and #12 #. A portion the size of a hemisphere with a radius of #8 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

The population of Detroit, Michigan was 951,300 in 2000. Detroit has been experiencing a population decline of 1.4% per year since 2000. What is the projected population for 2005 in Detroit?

What is #int (x^32x3 ) / (7x^4+ 5 x 1 )#?

How do you find the determinant of #((5, 2, 0, 0, 2), (0, 1, 4, 3, 2), (0, 0, 2, 6, 3), (0, 0, 3, 4, 1), (0, 0, 0, 0, 2))#?

How do you find the determinant of #((1, 1, 1, 1), (1, 3, 9, 27), (1, 5, 25, 125), (1, 7, 49, 343))#?

How do you integrate #int x^3 / ((sqrt(16+x^2))^3) dx# using trigonometric substitution?

How do you integrate #int e^x/sqrt(e^(2x)20e^x96)dx# using trigonometric substitution?

What is the area of the largest isosceles triangle that can be inscribed in a circle of radius 4?

Question #9aee7

Question #50f9b

Cups A and B are cone shaped and have heights of #28 cm# and #15 cm# and openings with radii of #7 cm# and #3 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

Question #3c646

How do you solve #x + y + z = 1# and #x + 5y  15z = 13# and #3x  2y  7z = 0# using matrices?

Cups A and B are cone shaped and have heights of #38 cm# and #25 cm# and openings with radii of #8 cm# and #13 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

What was the result of the Battle of El Alamein?

How did Otto von Bismarck, the chancellor of Prussia, lead the drive for German unity?

Points #(6 ,7 )# and #(7 ,5 )# are #(2 pi)/3 # radians apart on a circle. What is the shortest arc length between the points?

Question #6b9d0

Triangle A has an area of #84 # and two sides of lengths #18 # and #15 #. Triangle B is similar to triangle A and has a side of length #5 #. What are the maximum and minimum possible areas of triangle B?

A bookmark is like a rectangle with a semicircle attached at both ends. The rectangle is 12 cm long and 4 cm wide. The diameter of each semicircle is the width of the rectangle. What is the area of the bookmark?

What are the equations of the planes that are parallel to the plane #x+2y2z=1# and two units away from it?

If #A = <8 ,1 ,5 >#, #B = <6 ,5 ,8 ># and #C=AB#, what is the angle between A and C?

How to construct triangle LMN , such that LN = 8 cm and ∠ LMN = 80 degrees and LM MN= 3 cm?

Why did the Napoleonic Wars represent a watershed in the history of warfare?

Question #74eaa

Question #5feb3

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