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If
x
+
y
= 5 and
xy
= 6, find the value of
x
3
+
y
3
.
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More Old MCQ
Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
A right spherical triangle ABC of a sphere of radius 50 cm has angle C = 90 deg, A = 56 deg and side b = 47 deg. Find the area of the triangle in square centimeter.
Find the area of the region that lies inside the circle $r = 3 \sin \theta$ and outside the cardioid $r = 1 + \sin \theta$.
Solve for x from the given equation: 2^x · 2^(x + 1) = 128.
What is the equation of the line with y-intercept = 2 and slope = -3?
Solve for x if $\dfrac{e^x + e^{-x}}{2} = 1$.
The polynomial $x^3 + 4x^2 - 3x + 8$ is divided by $x - 5$. What is the remainder?
A truth serum given to a suspect is known to be 90% reliable when the person is guilty and 99% reliable when the person is innocent.
What is the value of x in trigonometric substitution with an integrand involving (a^2 - x^2)?
Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.
Find the quotient of x^3 - x^2 - 5x + 6 divided by x - 2.
Consider the arithmetic sequence whose first term is 3 and common difference is -5. Write an expression for the general term an. Hint: an = a1 + (n - 1)d.
At a point A that is 50 m from the base of a monument, the angle of elevation to the top of the monument is twice as large as the angle of elevation from a point B that is 150 m from the monument.
DNfS204-3 Determine the size of the section of the beam if the maximum stress is limited to 8 MPa.
In how many ways can you line up 5 persons if two persons refuse to follow each other?
A contractor has 50 men of the same capacity at work on a job. They can complete the job in 30 days, but the contract expired in 20 days.
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