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Determining the height at which the light has to be fixed to get its use in maximum area using its perimeter function.
Illumination A light source is located over the center of a circular table of diameter 4 feet (see figure). Find the height h of the light source such that the illumination I at the perimeter of the table is maximum if I = k(sinα )/s2, where s is the slant height, α is the angle at which the light strikes the table, and k is a constant.
Asymptotes of trigonometric functions and Graph y = csc( 0.5x + pi/2) and y = cos( 0.5x + pi/2) on one set of coordinate axes.
Find all the subfield of K containing Q.
Calculation of a Laplace Transform from first principles
Trigonometric identities to find length of the guy wire.
Recurrence relations with complex characteristic roots
One month ago the ratio of nurses to doctors on a hospital staff was 3:5. Since that time two additional nurses joined the staff, no nurses left & the number of doctors remained the same. Find the ratio of nurses to doctors.
Finding the side lengths of the given triangle - Evaluate the vertices of the triangle such that its area is a minimum.
Find number of ways using permutation
Check for symmetry with respect to the x and y-axis and the origin.
Find the general solution for given trigonometric equation on the given interval.
Solving the word problem using the properties of similar triangles
Investigate puzzle and explain the solution to the paradox using mathematical reasoning.
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