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Find the area of the largest rectangle that can be inscribed in a right triangle with legs of length 3 cm and 4 cm if two sides of the rectangle lie along the legs.
Find the area of the largest rectangle that can be inscribed in the ellipse x^2/25 + y^2/16 = 1.
Find the area of the region that lies inside the circle $r = 3 \sin \theta$ and outside the cardioid $r = 1 + \sin \theta$.
Find the area of the sector inside the square ABCD.
Find the area of the spherical lune of radius 2.5 m and a central angle of 15°.
Find the area reflected by the triangle ABC on the xy-plane with A(1, 10, 10), B(6, 2, 4) and C(12, 6, 1).
Find the capacity of a conical vessel that is made from a semi-circular tin of radius 2.5 m.
Find the complete or particular solution of the followiing D.E.
Find the compounded interest of P7,000 for 10 years at 6% compounded monthly.
Find the differential equations of the following family of curves.
Find the distance between foci of the conic 8x^2 + 9y^2 = 288.
Find the Equation
find the equation of a circle passing through (-1,6) and tangent to lines $x-2y+8=0$ and $2x+y+6=0$
Find the equation of a line having a slope of 2 and y-intercept of 3.
Find the equation of a line with slope 2/3 passing through point (0, -5).
Find the equation of the curve passing through the point (3, 2) and having s slope 5x^2 - x + 1 at every point (x, y)
Find the equation of the line through (4, -7) parallel to the y-axis.
Find the equation of the line through (4, 7) and passing at a distance of 1 unit from the origin.
Find the equation of the line whose slope is -3 and the x-intercept is 5.
Find the equation of the radical axis of the two circles having equations of $x^2 + y^2 + 4x + 6y - 3 = 0$ and $x^2 + y^2 + 12x + 14y + 60 = 0$.
Find the exact value of $\arccos (\tan 45^\circ)$
Find the exact value of $\cos [ \, \arcsin (2/3) \, ]$.
Find the first derivative of y with respect to x of the following function, when x = 2.$$ y = \dfrac{\ln x^2}{\sin 2x} $$
Find the General Solution of xdx + (sin²(y/x)(ydx-xdy)) = 0
Find the general solution.
Find the Integral of dx / sqrt(1 + sqrt(x))
find the interval: third order differential equation
Find the length of the latus rectum of the following ellipse: 25x^2 + 9y^2 - 300x - 144y + 1251 = 0.
Find the maximum and minimum values of $$ 3^{\sin x} for 0^\circ \le x \le 360ˆ\circ $$
Find the non-zero solution to the equation $3x^4 - 27x^3 = 0$.
find the particular solution?
Find the perimeter of the ellipse with major-axis = 10 and minor-axis = 8.
Find the point in the parabola y2 = 4x at which the rate of change of the ordinate and abscissa are equal.
Find the probability that a person tossing three coins will get either all heads or all tails for the second time on the fifth toss.
Find the probability that in a group of eight students at least two people have the same birthday.
Find the probability that somebody is healthy given that they have positive test result?