Start Discovering Solved Questions and Your Course Assignments
TextBooks Included
Active Tutors
Asked Questions
Answered Questions
theres a nice way to show why the expresion for the area of a circle of radius r ispi r2it has an comman relationship with the experation for the
if e were rational then e nm for some positive integers m n so then 1e mn but the series expansion for 1e is1e 1 - 11 12 - 13 call the first n
from top of a tower a stone is thrown up and it reaches the ground in time t1 a second stone is thrown down with the same speed and it reaches the
approximate value is the precise or the accurate value which is measured to the actual value approximation is how close the measured value is to
show that of all right triangles inscribed in a circle the triangle with maximum perimeter is
we know that derivative of x2 2x now we can write x2 as xxxx times then if we take defferentiation we get 111x times now adding we get x then which
find interval for which the function fxxex1-x is increasing or decreasing
if the sum of lengths of hypotenuse and a side of right triangle are given prove the area of the triangle is maximum when angle between them is
if angle between asymtotes of hyperbola x2a2-y2b1 is 120 degrees and product of perpendicular drawn from foci upon its any tangent is 9 then find the
how many integers satisfy sqrt n- sqrt 88362lt1 solution sqrt 8836 94 let sqrt nxthe equation becomesx-942 lt 1x-942 - 1 lt 0x-95x-93 lt
modz-25ilt15 then diffrence of minmax of argz sol mod z-25ilt15means z lies in the circumference of the circle with 025 at its centre and radius
a right triangular prism has volume equal to 288 cm3 the height of the prism is 3 cm one of the bases of the triangular face not the hypotenuse is
the value of y that minimizes the sum of the two distances from 35 to 1y and from 1y to 49 can be written as ab where a and b are coprime positive
6 male students and 3 female students sit around a round table the probability that no 2 female students sit beside each other can be expressed as ab
how many integers satisfy the inequality 10x1x22x31 solution first thing thats not an inequalityand second thing its very easy if thats the
every point xy on the curve ylog2 3x is transferred to a new point by the following translation xyxmyn where m and n are integers the set of xy form
solve the following linear programming problem using simple methodmaximize z 3x1 2x2subject to the
the value of y that minimizes the sum of the two distances from 35 to 1y and from 1y to 49 can be written as ab where a and b are coprime
1 compute the center of mass of the solid of unit density 1 bounded in spherical coordinates by p1 and by phi is greater than or equal 0 and less
1 let r be the triangle with vertices 00 pi pi and pi -pi using the change of variables formula u x-y and v xy compute the double integral
1 find the are length of rt 12t2 13t3 13t3 where t is between 1 and 3 greater than or equal less than or equal2 sketch the level curves of fxy
use greens theorem to computer the integral f dr where f y2 x y2 y and c is bounded below the curve y - cosx above by y sinx to the left by x0
1 find the maxima and minima of fxyz 2x y -3z subject to the constraint 2x2y22z212 compute the work done by the force eld fxyz x2i y j y k in
dont count the number of divisions do not use asymptotic notation instead provide exact answersi what is the maximum number of multiplications